Least Common Multiple of 438, 583, 308, 870, 685

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 438, 583, 308, 870, 685 i.e. 71016500940 smallest integer divisible by all numbers.

Least common multiple (LCM) of 438, 583, 308, 870, 685 is 71016500940.

LCM(438, 583, 308, 870, 685) = 71016500940

LCM of 438, 583, 308, 870, 685

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

LCM of:

Least Common Multiple of 438,583,308,870,685

Least Common Multiple (LCM) of 438,583,308,870,685 is 71016500940

2 438, 583, 308, 870, 685
3 219, 583, 154, 435, 685
5 73, 583, 154, 145, 685
11 73, 583, 154, 29, 137
73, 53, 14, 29, 137

∴ So the LCM of the given numbers is 2 x 3 x 5 x 11 x 73 x 53 x 14 x 29 x 137 = 71016500940

Least Common Multiple of 438,583,308,870,685 with GCF Formula

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

We need to calculate greatest common factor of 438,583,308,870,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(438,583,308,870,685) = 1

common factors(in case of two or more numbers have common factors) = 660

GCF(438,583,308,870,685) x common factors =1 x 660 = 660

LCM(438,583,308,870,685) = ( 438 × 583 × 308 × 870 × 685 ) / 660

LCM(438,583,308,870,685) = 46870890620400 / 660

LCM(438,583,308,870,685) = 71016500940

∴ Least Common Multiple of 438,583,308,870,685 is 71016500940

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 438, 583, 308, 870, 685

1. What is the LCM of 438, 583, 308, 870, 685?

Answer: LCM of 438, 583, 308, 870, 685 is 71016500940.

2. What are the Factors of 71016500940?

Answer: Factors of 71016500940 are . There are integers that are factors of 71016500940

3. How to Find the LCM of 438, 583, 308, 870, 685 ?

Least Common Multiple of 438, 583, 308, 870, 685.

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(438, 583, 308, 870, 685) = 2 x 2 x 3 x 5 x 7 x 11 x 29 x 53 x 73 x 137 = 71016500940.