Least Common Multiple of 744, 304, 256, 675

Q: How to Find the LCM of 744, 304, 256, 675 ?

Least Common Multiple of 744, 304, 256, 675 = 101779200 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(744, 304, 256, 675) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 19 x 31 = 101779200.

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 744, 304, 256, 675 i.e. 101779200 smallest integer divisible by all numbers.

Least common multiple (LCM) of 744, 304, 256, 675 is 101779200.

LCM(744, 304, 256, 675) = 101779200

LCM of 744, 304, 256, 675

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

Least Common Multiple of 744, 304, 256, 675 by common division method
Least Common Multiple of 744, 304, 256, 675 with GCF Formula

Least Common Multiple of 744,304,256,675

Least Common Multiple (LCM) of 744,304,256,675 is 101779200

2	744, 304, 256, 675
2	372, 152, 128, 675
2	186, 76, 64, 675
2	93, 38, 32, 675
3	93, 19, 16, 675
	31, 19, 16, 225

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 31 x 19 x 16 x 225 = 101779200

Least Common Multiple of 744,304,256,675 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 744,304,256,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,304,256,675) = 1

common factors(in case of two or more numbers have common factors) = 384

GCF(744,304,256,675) x common factors =1 x 384 = 384

LCM(744,304,256,675) = ( 744 × 304 × 256 × 675 ) / 384

LCM(744,304,256,675) = 39083212800 / 384

LCM(744,304,256,675) = 101779200

∴ Least Common Multiple of 744,304,256,675 is 101779200

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 744, 304, 256, 675

1. What is the LCM of 744, 304, 256, 675?

Answer: LCM of 744, 304, 256, 675 is 101779200.

2. What are the Factors of 101779200?

Answer: Factors of 101779200 are . There are integers that are factors of 101779200

3. How to Find the LCM of 744, 304, 256, 675 ?

Least Common Multiple of 744, 304, 256, 675.

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(744, 304, 256, 675) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 19 x 31 = 101779200.