Lcm Of 24 And 56

LCM of 24 and 56

LCM of 24 and 56 is the smallest number among all mutual multiples of 24 and 56. The first few multiples of 24 and 56 are (24, 48, 72, 96, 120, . . . ) and (56, 112, 168, 224, 280, 336, . . . ) respectively. At that place are three unremarkably used methods to observe LCM of 24 and 56 - by prime factorization, by division method, and past listing multiples.

1.	LCM of 24 and 56
2.	List of Methods
three.	Solved Examples
iv.	FAQs

What is the LCM of 24 and 56?

Answer: LCM of 24 and 56 is 168.

Explanation:

The LCM of 2 non-zero integers, x(24) and y(56), is the smallest positive integer k(168) that is divisible by both ten(24) and y(56) without any remainder.

Methods to Observe LCM of 24 and 56

The methods to find the LCM of 24 and 56 are explained below.

• Past Division Method
• Past Listing Multiples
• By Prime Factorization Method

LCM of 24 and 56 by Division Method

To calculate the LCM of 24 and 56 by the division method, nosotros will dissever the numbers(24, 56) by their prime factors (preferably common). The product of these divisors gives the LCM of 24 and 56.

• Step 1: Find the smallest prime number that is a factor of at to the lowest degree one of the numbers, 24 and 56. Write this prime number(two) on the left of the given numbers(24 and 56), separated equally per the ladder arrangement.
• Footstep 2: If any of the given numbers (24, 56) is a multiple of ii, dissever it by 2 and write the caliber below it. Bring down any number that is not divisible by the prime number number.
• Step 3: Continue the steps until merely 1s are left in the last row.

The LCM of 24 and 56 is the production of all prime numbers on the left, i.eastward. LCM(24, 56) past sectionalisation method = 2 × 2 × 2 × 3 × vii = 168.

LCM of 24 and 56 by Listing Multiples

To calculate the LCM of 24 and 56 by list out the common multiples, we tin follow the given below steps:

• Step ane: Listing a few multiples of 24 (24, 48, 72, 96, 120, . . . ) and 56 (56, 112, 168, 224, 280, 336, . . . . )
• Step two: The mutual multiples from the multiples of 24 and 56 are 168, 336, . . .
• Footstep 3: The smallest common multiple of 24 and 56 is 168.

∴ The least common multiple of 24 and 56 = 168.

LCM of 24 and 56 past Prime Factorization

Prime number factorization of 24 and 56 is (ii × two × 2 × 3) = 2³ × iii¹ and (2 × two × 2 × 7) = twoⁱⁱⁱ × vii¹ respectively. LCM of 24 and 56 can be obtained by multiplying prime factors raised to their respective highest power, i.eastward. 2ⁱⁱⁱ × 3¹ × 7¹ = 168.
Hence, the LCM of 24 and 56 by prime factorization is 168.

☛ Also Check:

• LCM of 15, 25, xl and 75 - 600
• LCM of ii, 4, half-dozen, 8 and 10 - 120
• LCM of 24 and 26 - 312
• LCM of 35 and 70 - 70
• LCM of 3 and xi - 33
• LCM of 32 and 36 - 288
• LCM of six, 7 and 9 - 126

FAQs on LCM of 24 and 56

What is the LCM of 24 and 56?

The LCM of 24 and 56 is 168 . To discover the to the lowest degree common multiple of 24 and 56, we need to discover the multiples of 24 and 56 (multiples of 24 = 24, 48, 72, 96 . . . . 168; multiples of 56 = 56, 112, 168, 224) and choose the smallest multiple that is exactly divisible by 24 and 56, i.e., 168.

Which of the post-obit is the LCM of 24 and 56? 15, 25, 12, 168

The value of LCM of 24, 56 is the smallest mutual multiple of 24 and 56. The number satisfying the given condition is 168.

What are the Methods to Find LCM of 24 and 56?

The commonly used methods to find the LCM of 24 and 56 are:

• Sectionalization Method
• Prime number Factorization Method
• Listing Multiples

What is the Least Perfect Square Divisible by 24 and 56?

The least number divisible by 24 and 56 = LCM(24, 56)
LCM of 24 and 56 = 2 × 2 × 2 × 3 × 7 [Incomplete pair(s): ii, 3, seven]
⇒ Least perfect square divisible by each 24 and 56 = LCM(24, 56) × 2 × 3 × 7 = 7056 [Square root of 7056 = √7056 = ±84]
Therefore, 7056 is the required number.

If the LCM of 56 and 24 is 168, Discover its GCF.

LCM(56, 24) × GCF(56, 24) = 56 × 24
Since the LCM of 56 and 24 = 168
⇒ 168 × GCF(56, 24) = 1344
Therefore, the greatest common factor = 1344/168 = 8.

Lcm Of 24 And 56,

Source: https://www.cuemath.com/numbers/lcm-of-24-and-56/

Posted by: jacksongredyet.blogspot.com

Share this post