Least Common Multiple of 24, 68, 217

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 24, 68, 217 i.e. 88536 smallest integer divisible by all numbers.

Least common multiple (LCM) of 24, 68, 217 is 88536.

LCM(24, 68, 217) = 88536

LCM of 24, 68, 217

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

LCM of:

Least Common Multiple of 24,68,217

Least Common Multiple (LCM) of 24,68,217 is 88536

2 24, 68, 217
2 12, 34, 217
6, 17, 217

∴ So the LCM of the given numbers is 2 x 2 x 6 x 17 x 217 = 88536

Least Common Multiple of 24,68,217 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 24,68,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,68,217) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(24,68,217) x common factors =1 x 4 = 4

LCM(24,68,217) = ( 24 × 68 × 217 ) / 4

LCM(24,68,217) = 354144 / 4

LCM(24,68,217) = 88536

∴ Least Common Multiple of 24,68,217 is 88536

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 24, 68, 217

1. What is the LCM of 24, 68, 217?

Answer: LCM of 24, 68, 217 is 88536.

2. What are the Factors of 88536?

Answer: Factors of 88536 are . There are integers that are factors of 88536

3. How to Find the LCM of 24, 68, 217 ?

Least Common Multiple of 24, 68, 217.

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(24, 68, 217) = 2 x 2 x 2 x 3 x 7 x 17 x 31 = 88536.