Least Common Multiple of 24, 85, 578

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, 85, 578 i.e. 34680 smallest integer divisible by all numbers.

Least common multiple (LCM) of 24, 85, 578 is 34680.

LCM(24, 85, 578) = 34680

LCM of 24, 85, 578

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

LCM of:

Least Common Multiple of 24,85,578

Least Common Multiple (LCM) of 24,85,578 is 34680

2 24, 85, 578
17 12, 85, 289
12, 5, 17

∴ So the LCM of the given numbers is 2 x 17 x 12 x 5 x 17 = 34680

Least Common Multiple of 24,85,578 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 24,85,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,85,578) = 1

common factors(in case of two or more numbers have common factors) = 34

GCF(24,85,578) x common factors =1 x 34 = 34

LCM(24,85,578) = ( 24 × 85 × 578 ) / 34

LCM(24,85,578) = 1179120 / 34

LCM(24,85,578) = 34680

∴ Least Common Multiple of 24,85,578 is 34680

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 24, 85, 578

1. What is the LCM of 24, 85, 578?

Answer: LCM of 24, 85, 578 is 34680.

2. What are the Factors of 34680?

Answer: Factors of 34680 are . There are integers that are factors of 34680

3. How to Find the LCM of 24, 85, 578 ?

Least Common Multiple of 24, 85, 578.

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, 85, 578) = 2 x 2 x 2 x 3 x 5 x 17 x 17 = 34680.