Least Common Multiple of 478, 624, 717

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 478, 624, 717 i.e. 149136 smallest integer divisible by all numbers.

Least common multiple (LCM) of 478, 624, 717 is 149136.

LCM(478, 624, 717) = 149136

LCM of 478, 624, 717

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

LCM of:

Least Common Multiple of 478,624,717

Least Common Multiple (LCM) of 478,624,717 is 149136

2 478, 624, 717
3 239, 312, 717
239 239, 104, 239
1, 104, 1

∴ So the LCM of the given numbers is 2 x 3 x 239 x 1 x 104 x 1 = 149136

Least Common Multiple of 478,624,717 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 478,624,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(478,624,717) = 1

common factors(in case of two or more numbers have common factors) = 1434

GCF(478,624,717) x common factors =1 x 1434 = 1434

LCM(478,624,717) = ( 478 × 624 × 717 ) / 1434

LCM(478,624,717) = 213861024 / 1434

LCM(478,624,717) = 149136

∴ Least Common Multiple of 478,624,717 is 149136

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 478, 624, 717

1. What is the LCM of 478, 624, 717?

Answer: LCM of 478, 624, 717 is 149136.

2. What are the Factors of 149136?

Answer: Factors of 149136 are . There are integers that are factors of 149136

3. How to Find the LCM of 478, 624, 717 ?

Least Common Multiple of 478, 624, 717.

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(478, 624, 717) = 2 x 2 x 2 x 2 x 3 x 13 x 239 = 149136.