Least Common Multiple of 349, 680, 309

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 349, 680, 309 i.e. 73331880 smallest integer divisible by all numbers.

Least common multiple (LCM) of 349, 680, 309 is 73331880.

LCM(349, 680, 309) = 73331880

LCM of 349, 680, 309

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

LCM of:

Least Common Multiple of 349,680,309

Least Common Multiple (LCM) of 349,680,309 is 73331880

Given numbers has no common factors except 1. So, there LCM is their product i.e 73331880

Least Common Multiple of 349,680,309 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 349,680,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(349,680,309) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(349,680,309) x common factors =1 x 1 = 1

LCM(349,680,309) = ( 349 × 680 × 309 ) / 1

LCM(349,680,309) = 73331880 / 1

LCM(349,680,309) = 73331880

∴ Least Common Multiple of 349,680,309 is 73331880

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 349, 680, 309

1. What is the LCM of 349, 680, 309?

Answer: LCM of 349, 680, 309 is 73331880.

2. What are the Factors of 73331880?

Answer: Factors of 73331880 are . There are integers that are factors of 73331880

3. How to Find the LCM of 349, 680, 309 ?

Least Common Multiple of 349, 680, 309.

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(349, 680, 309) = 2 x 2 x 2 x 3 x 5 x 17 x 103 x 349 = 73331880.