Least Common Multiple of 309, 4374, 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 309, 4374, 217 i.e. 97763274 smallest integer divisible by all numbers.

Least common multiple (LCM) of 309, 4374, 217 is 97763274.

LCM(309, 4374, 217) = 97763274

LCM of 309, 4374, 217

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

LCM of:

Least Common Multiple of 309,4374,217

Least Common Multiple (LCM) of 309,4374,217 is 97763274

3 309, 4374, 217
103, 1458, 217

∴ So the LCM of the given numbers is 3 x 103 x 1458 x 217 = 97763274

Least Common Multiple of 309,4374,217 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 309,4374,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(309,4374,217) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(309,4374,217) x common factors =1 x 3 = 3

LCM(309,4374,217) = ( 309 × 4374 × 217 ) / 3

LCM(309,4374,217) = 293289822 / 3

LCM(309,4374,217) = 97763274

∴ Least Common Multiple of 309,4374,217 is 97763274

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 309, 4374, 217

1. What is the LCM of 309, 4374, 217?

Answer: LCM of 309, 4374, 217 is 97763274.

2. What are the Factors of 97763274?

Answer: Factors of 97763274 are . There are integers that are factors of 97763274

3. How to Find the LCM of 309, 4374, 217 ?

Least Common Multiple of 309, 4374, 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(309, 4374, 217) = 2 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 7 x 31 x 103 = 97763274.