Least Common Multiple of 17, 24, 382

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 17, 24, 382 i.e. 77928 smallest integer divisible by all numbers.

Least common multiple (LCM) of 17, 24, 382 is 77928.

LCM(17, 24, 382) = 77928

LCM of 17, 24, 382

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

LCM of:

Least Common Multiple of 17,24,382

Least Common Multiple (LCM) of 17,24,382 is 77928

2 17, 24, 382
17, 12, 191

∴ So the LCM of the given numbers is 2 x 17 x 12 x 191 = 77928

Least Common Multiple of 17,24,382 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 17,24,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,24,382) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(17,24,382) x common factors =1 x 2 = 2

LCM(17,24,382) = ( 17 × 24 × 382 ) / 2

LCM(17,24,382) = 155856 / 2

LCM(17,24,382) = 77928

∴ Least Common Multiple of 17,24,382 is 77928

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 17, 24, 382

1. What is the LCM of 17, 24, 382?

Answer: LCM of 17, 24, 382 is 77928.

2. What are the Factors of 77928?

Answer: Factors of 77928 are . There are integers that are factors of 77928

3. How to Find the LCM of 17, 24, 382 ?

Least Common Multiple of 17, 24, 382.

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(17, 24, 382) = 2 x 2 x 2 x 3 x 17 x 191 = 77928.