Least Common Multiple of 96, 32, 19, 752

Q: How to Find the LCM of 96, 32, 19, 752 ?

Least Common Multiple of 96, 32, 19, 752 = 85728 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(96, 32, 19, 752) = 2 x 2 x 2 x 2 x 2 x 3 x 19 x 47 = 85728.

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 96, 32, 19, 752 i.e. 85728 smallest integer divisible by all numbers.

Least common multiple (LCM) of 96, 32, 19, 752 is 85728.

LCM(96, 32, 19, 752) = 85728

LCM of 96, 32, 19, 752

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

Least Common Multiple of 96, 32, 19, 752 by common division method
Least Common Multiple of 96, 32, 19, 752 with GCF Formula

Least Common Multiple of 96,32,19,752

Least Common Multiple (LCM) of 96,32,19,752 is 85728

2	96, 32, 19, 752
2	48, 16, 19, 376
2	24, 8, 19, 188
2	12, 4, 19, 94
2	6, 2, 19, 47
	3, 1, 19, 47

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 1 x 19 x 47 = 85728

Least Common Multiple of 96,32,19,752 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 96,32,19,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,32,19,752) = 1

common factors(in case of two or more numbers have common factors) = 512

GCF(96,32,19,752) x common factors =1 x 512 = 512

LCM(96,32,19,752) = ( 96 × 32 × 19 × 752 ) / 512

LCM(96,32,19,752) = 43892736 / 512

LCM(96,32,19,752) = 85728

∴ Least Common Multiple of 96,32,19,752 is 85728

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 96, 32, 19, 752

1. What is the LCM of 96, 32, 19, 752?

Answer: LCM of 96, 32, 19, 752 is 85728.

2. What are the Factors of 85728?

Answer: Factors of 85728 are . There are integers that are factors of 85728

3. How to Find the LCM of 96, 32, 19, 752 ?

Least Common Multiple of 96, 32, 19, 752.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(96, 32, 19, 752) = 2 x 2 x 2 x 2 x 2 x 3 x 19 x 47 = 85728.