Least Common Multiple of 752, 428, 687, 120, 829

Q: How to Find the LCM of 752, 428, 687, 120, 829 ?

Least Common Multiple of 752, 428, 687, 120, 829 = 229130493360 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(752, 428, 687, 120, 829) = 2 x 2 x 2 x 2 x 3 x 5 x 47 x 107 x 229 x 829 = 229130493360.

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 752, 428, 687, 120, 829 i.e. 229130493360 smallest integer divisible by all numbers.

Least common multiple (LCM) of 752, 428, 687, 120, 829 is 229130493360.

LCM(752, 428, 687, 120, 829) = 229130493360

LCM of 752, 428, 687, 120, 829

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

Least Common Multiple of 752, 428, 687, 120, 829 by common division method
Least Common Multiple of 752, 428, 687, 120, 829 with GCF Formula

Least Common Multiple of 752,428,687,120,829

Least Common Multiple (LCM) of 752,428,687,120,829 is 229130493360

2	752, 428, 687, 120, 829
2	376, 214, 687, 60, 829
2	188, 107, 687, 30, 829
3	94, 107, 687, 15, 829
	94, 107, 229, 5, 829

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 94 x 107 x 229 x 5 x 829 = 229130493360

Least Common Multiple of 752,428,687,120,829 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 752,428,687,120,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(752,428,687,120,829) = 1

common factors(in case of two or more numbers have common factors) = 96

GCF(752,428,687,120,829) x common factors =1 x 96 = 96

LCM(752,428,687,120,829) = ( 752 × 428 × 687 × 120 × 829 ) / 96

LCM(752,428,687,120,829) = 21996527362560 / 96

LCM(752,428,687,120,829) = 229130493360

∴ Least Common Multiple of 752,428,687,120,829 is 229130493360

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 752, 428, 687, 120, 829

1. What is the LCM of 752, 428, 687, 120, 829?

Answer: LCM of 752, 428, 687, 120, 829 is 229130493360.

2. What are the Factors of 229130493360?

Answer: Factors of 229130493360 are . There are integers that are factors of 229130493360

3. How to Find the LCM of 752, 428, 687, 120, 829 ?

Least Common Multiple of 752, 428, 687, 120, 829.

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(752, 428, 687, 120, 829) = 2 x 2 x 2 x 2 x 3 x 5 x 47 x 107 x 229 x 829 = 229130493360.