Least Common Multiple of 343/391, 514/127, 212/962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 343/391, 514/127, 212/962 quickly i.e. 18688012 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 343/391, 514/127, 212/962 is 18688012.

LCM(343/391, 514/127, 212/962) = 18688012

LCM of 343/391, 514/127, 212/962

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 343/391,514/127,212/962

Given numbers are 343/391,514/127,212/962

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 343,514,212

Least Common Multiple of Numerators i.e. LCM of 343,514,212 is 18688012.

GCF of Denominators means GCF of 391,127,962 as per the given fractions.

GCF of 391,127,962 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 343,514,212

LCM of Fractions 343/391,514/127,212/962 is 18688012

2 343, 514, 212
343, 257, 106

∴ So the LCM of the given numbers is 2 x 343 x 257 x 106 = 18688012

Least Common Multiple of 343,514,212 with GCF Formula

Least Common Multiple of 343,514,212 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 343,514,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(343,514,212) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(343,514,212) x common factors =1 x 2 = 2

LCM(343,514,212) = ( 343 × 514 × 212 ) / 2

LCM(343,514,212) = 37376024 / 2

LCM(343,514,212) = 18688012


Lets's calculate GCF of 391,127,962

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18688012/1

Therefore the LCM of Fractions 343/391,514/127,212/962 is 18688012

Greatest Common Factor of 391,127,962 By Matching Biggest Common Factor Method

Greatest Common Factor of 391,127,962 By Matching Biggest Common Factor Method

Factors of 391

List of positive integer factors of 391 that divides 391 without a remainder.

1,17,23,391

Factors of 127

List of positive integer factors of 127 that divides 127 without a remainder.

1,127

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Greatest Common Factor

We found the factors 391,127,962 . The biggest common factor number is the GCF number.
So the greatest common factor 391,127,962 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 343/391, 514/127, 212/962

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 343/391, 514/127, 212/962?

Answer: LCM of Numerators as per given numbers 343/391, 514/127, 212/962 is

LCM of Numerators i.e. for 343,514,212 is 18688012

GCF of denominators i.e. for 391,127,962 is 1.

Thus, LCM of Fractions is 18688012.Finally, LCM of Fractions for 343/391, 514/127, 212/962 is 18688012.