Least Common Multiple of 217, 108, 270, 680, 285

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 217, 108, 270, 680, 285 i.e. 75698280 smallest integer divisible by all numbers.

Least common multiple (LCM) of 217, 108, 270, 680, 285 is 75698280.

LCM(217, 108, 270, 680, 285) = 75698280

LCM of 217, 108, 270, 680, 285

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

LCM of:

Least Common Multiple of 217,108,270,680,285

Least Common Multiple (LCM) of 217,108,270,680,285 is 75698280

2 217, 108, 270, 680, 285
2 217, 54, 135, 340, 285
3 217, 27, 135, 170, 285
3 217, 9, 45, 170, 95
3 217, 3, 15, 170, 95
5 217, 1, 5, 170, 95
217, 1, 1, 34, 19

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 5 x 217 x 1 x 1 x 34 x 19 = 75698280

Least Common Multiple of 217,108,270,680,285 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 217,108,270,680,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(217,108,270,680,285) = 1

common factors(in case of two or more numbers have common factors) = 16200

GCF(217,108,270,680,285) x common factors =1 x 16200 = 16200

LCM(217,108,270,680,285) = ( 217 × 108 × 270 × 680 × 285 ) / 16200

LCM(217,108,270,680,285) = 1226312136000 / 16200

LCM(217,108,270,680,285) = 75698280

∴ Least Common Multiple of 217,108,270,680,285 is 75698280

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 217, 108, 270, 680, 285

1. What is the LCM of 217, 108, 270, 680, 285?

Answer: LCM of 217, 108, 270, 680, 285 is 75698280.

2. What are the Factors of 75698280?

Answer: Factors of 75698280 are . There are integers that are factors of 75698280

3. How to Find the LCM of 217, 108, 270, 680, 285 ?

Least Common Multiple of 217, 108, 270, 680, 285.

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(217, 108, 270, 680, 285) = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 17 x 19 x 31 = 75698280.