Least Common Multiple of 351/12, 855/79, 419/322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 351/12, 855/79, 419/322 quickly i.e. 13971555 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 351/12, 855/79, 419/322 is 13971555.

LCM(351/12, 855/79, 419/322) = 13971555

LCM of 351/12, 855/79, 419/322

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 351/12,855/79,419/322

Given numbers are 351/12,855/79,419/322

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 351,855,419

Least Common Multiple of Numerators i.e. LCM of 351,855,419 is 13971555.

GCF of Denominators means GCF of 12,79,322 as per the given fractions.

GCF of 12,79,322 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 351,855,419

LCM of Fractions 351/12,855/79,419/322 is 13971555

3 351, 855, 419
3 117, 285, 419
39, 95, 419

∴ So the LCM of the given numbers is 3 x 3 x 39 x 95 x 419 = 13971555

Least Common Multiple of 351,855,419 with GCF Formula

Least Common Multiple of 351,855,419 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 351,855,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(351,855,419) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(351,855,419) x common factors =1 x 9 = 9

LCM(351,855,419) = ( 351 × 855 × 419 ) / 9

LCM(351,855,419) = 125743995 / 9

LCM(351,855,419) = 13971555


Lets's calculate GCF of 12,79,322

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13971555/1

Therefore the LCM of Fractions 351/12,855/79,419/322 is 13971555

Greatest Common Factor of 12,79,322 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,79,322 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Greatest Common Factor

We found the factors 12,79,322 . The biggest common factor number is the GCF number.
So the greatest common factor 12,79,322 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 351/12, 855/79, 419/322

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 351/12, 855/79, 419/322?

Answer: LCM of Numerators as per given numbers 351/12, 855/79, 419/322 is

LCM of Numerators i.e. for 351,855,419 is 13971555

GCF of denominators i.e. for 12,79,322 is 1.

Thus, LCM of Fractions is 13971555.Finally, LCM of Fractions for 351/12, 855/79, 419/322 is 13971555.