Least Common Multiple of 628, 7264, 288

Q: How to Find the LCM of 628, 7264, 288 ?

Least Common Multiple of 628, 7264, 288 = 10264032 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(628, 7264, 288) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 157 x 227 = 10264032.

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 628, 7264, 288 i.e. 10264032 smallest integer divisible by all numbers.

Least common multiple (LCM) of 628, 7264, 288 is 10264032.

LCM(628, 7264, 288) = 10264032

LCM of 628, 7264, 288

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

Least Common Multiple of 628, 7264, 288 by common division method
Least Common Multiple of 628, 7264, 288 with GCF Formula

Least Common Multiple of 628,7264,288

Least Common Multiple (LCM) of 628,7264,288 is 10264032

2	628, 7264, 288
2	314, 3632, 144
2	157, 1816, 72
2	157, 908, 36
2	157, 454, 18
	157, 227, 9

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 157 x 227 x 9 = 10264032

Least Common Multiple of 628,7264,288 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 628,7264,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(628,7264,288) = 4

common factors(in case of two or more numbers have common factors) = 32

GCF(628,7264,288) x common factors =4 x 32 = 128

LCM(628,7264,288) = ( 628 × 7264 × 288 ) / 128

LCM(628,7264,288) = 1313796096 / 128

LCM(628,7264,288) = 10264032

∴ Least Common Multiple of 628,7264,288 is 10264032

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 628, 7264, 288

1. What is the LCM of 628, 7264, 288?

Answer: LCM of 628, 7264, 288 is 10264032.

2. What are the Factors of 10264032?

Answer: Factors of 10264032 are . There are integers that are factors of 10264032

3. How to Find the LCM of 628, 7264, 288 ?

Least Common Multiple of 628, 7264, 288.

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(628, 7264, 288) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 157 x 227 = 10264032.