Least Common Multiple of 728, 683, 240, 870, 971

Q: How to Find the LCM of 728, 683, 240, 870, 971 ?

Least Common Multiple of 728, 683, 240, 870, 971 = 420039918480 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(728, 683, 240, 870, 971) = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 13 x 29 x 683 x 971 = 420039918480.

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 728, 683, 240, 870, 971 i.e. 420039918480 smallest integer divisible by all numbers.

Least common multiple (LCM) of 728, 683, 240, 870, 971 is 420039918480.

LCM(728, 683, 240, 870, 971) = 420039918480

LCM of 728, 683, 240, 870, 971

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

Least Common Multiple of 728, 683, 240, 870, 971 by common division method
Least Common Multiple of 728, 683, 240, 870, 971 with GCF Formula

Least Common Multiple of 728,683,240,870,971

Least Common Multiple (LCM) of 728,683,240,870,971 is 420039918480

2	728, 683, 240, 870, 971
2	364, 683, 120, 435, 971
2	182, 683, 60, 435, 971
3	91, 683, 30, 435, 971
5	91, 683, 10, 145, 971
	91, 683, 2, 29, 971

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 91 x 683 x 2 x 29 x 971 = 420039918480

Least Common Multiple of 728,683,240,870,971 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 728,683,240,870,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(728,683,240,870,971) = 1

common factors(in case of two or more numbers have common factors) = 240

GCF(728,683,240,870,971) x common factors =1 x 240 = 240

LCM(728,683,240,870,971) = ( 728 × 683 × 240 × 870 × 971 ) / 240

LCM(728,683,240,870,971) = 100809580435200 / 240

LCM(728,683,240,870,971) = 420039918480

∴ Least Common Multiple of 728,683,240,870,971 is 420039918480

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 728, 683, 240, 870, 971

1. What is the LCM of 728, 683, 240, 870, 971?

Answer: LCM of 728, 683, 240, 870, 971 is 420039918480.

2. What are the Factors of 420039918480?

Answer: Factors of 420039918480 are . There are integers that are factors of 420039918480

3. How to Find the LCM of 728, 683, 240, 870, 971 ?

Least Common Multiple of 728, 683, 240, 870, 971.

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(728, 683, 240, 870, 971) = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 13 x 29 x 683 x 971 = 420039918480.