Least Common Multiple of 680, 500, 272

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, 500, 272 i.e. 34000 smallest integer divisible by all numbers.

Least common multiple (LCM) of 680, 500, 272 is 34000.

LCM(680, 500, 272) = 34000

LCM of 680, 500, 272

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

LCM of:

Least Common Multiple of 680,500,272

Least Common Multiple (LCM) of 680,500,272 is 34000

2 680, 500, 272
2 340, 250, 136
2 170, 125, 68
5 85, 125, 34
17 17, 25, 34
1, 25, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 17 x 1 x 25 x 2 = 34000

Least Common Multiple of 680,500,272 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 680,500,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(680,500,272) = 4

common factors(in case of two or more numbers have common factors) = 680

GCF(680,500,272) x common factors =4 x 680 = 2720

LCM(680,500,272) = ( 680 × 500 × 272 ) / 2720

LCM(680,500,272) = 92480000 / 2720

LCM(680,500,272) = 34000

∴ Least Common Multiple of 680,500,272 is 34000

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 680, 500, 272

1. What is the LCM of 680, 500, 272?

Answer: LCM of 680, 500, 272 is 34000.

2. What are the Factors of 34000?

Answer: Factors of 34000 are . There are integers that are factors of 34000

3. How to Find the LCM of 680, 500, 272 ?

Least Common Multiple of 680, 500, 272.

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, 500, 272) = 2 x 2 x 2 x 2 x 5 x 5 x 5 x 17 = 34000.