Least Common Multiple of 680, 665, 742, 560, 909

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 680, 665, 742, 560, 909 i.e. 8714255760 smallest integer divisible by all numbers.

Least common multiple (LCM) of 680, 665, 742, 560, 909 is 8714255760.

LCM(680, 665, 742, 560, 909) = 8714255760

LCM of 680, 665, 742, 560, 909

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

LCM of:

Least Common Multiple of 680,665,742,560,909

Least Common Multiple (LCM) of 680,665,742,560,909 is 8714255760

2 680, 665, 742, 560, 909
2 340, 665, 371, 280, 909
2 170, 665, 371, 140, 909
5 85, 665, 371, 70, 909
7 17, 133, 371, 14, 909
17, 19, 53, 2, 909

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 7 x 17 x 19 x 53 x 2 x 909 = 8714255760

Least Common Multiple of 680,665,742,560,909 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 680,665,742,560,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(680,665,742,560,909) = 1

common factors(in case of two or more numbers have common factors) = 19600

GCF(680,665,742,560,909) x common factors =1 x 19600 = 19600

LCM(680,665,742,560,909) = ( 680 × 665 × 742 × 560 × 909 ) / 19600

LCM(680,665,742,560,909) = 170799412896000 / 19600

LCM(680,665,742,560,909) = 8714255760

∴ Least Common Multiple of 680,665,742,560,909 is 8714255760

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 680, 665, 742, 560, 909

1. What is the LCM of 680, 665, 742, 560, 909?

Answer: LCM of 680, 665, 742, 560, 909 is 8714255760.

2. What are the Factors of 8714255760?

Answer: Factors of 8714255760 are . There are integers that are factors of 8714255760

3. How to Find the LCM of 680, 665, 742, 560, 909 ?

Least Common Multiple of 680, 665, 742, 560, 909.

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(680, 665, 742, 560, 909) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 17 x 19 x 53 x 101 = 8714255760.