Least Common Multiple of 338/64, 946/6786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 338/64, 946/6786 quickly i.e. 79937 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 338/64, 946/6786 is 79937.

LCM(338/64, 946/6786) = 79937

LCM of 338/64, 946/6786

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 338/64,946/6786

Given numbers are 338/64,946/6786

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 338,946

Least Common Multiple of Numerators i.e. LCM of 338,946 is 159874.

GCF of Denominators means GCF of 64,6786 as per the given fractions.

GCF of 64,6786 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 338,946

LCM of Fractions 338/64,946/6786 is 79937

2 338, 946
169, 473

∴ So the LCM of the given numbers is 2 x 169 x 473 = 159874

Least Common Multiple of 338,946 with GCF Formula

Least Common Multiple of 338,946 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 338,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(338,946) = 2

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

GCF(338,946) x common factors =2 x 1 = 2

LCM(338,946) = ( 338 × 946 ) / 2

LCM(338,946) = 319748 / 2

LCM(338,946) = 159874


Lets's calculate GCF of 64,6786

2 64, 6786
32, 3393

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 159874/2

Therefore the LCM of Fractions 338/64,946/6786 is 79937

Greatest Common Factor of 64,6786 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,6786 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 6786

List of positive integer factors of 6786 that divides 6786 without a remainder.

1,2,3,6,9,13,18,26,29,39,58,78,87,117,174,234,261,377,522,754,1131,2262,3393,6786

Greatest Common Factor

We found the factors 64,6786 . The biggest common factor number is the GCF number.
So the greatest common factor 64,6786 is 2.


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 338/64, 946/6786

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 338/64, 946/6786?

Answer: LCM of Numerators as per given numbers 338/64, 946/6786 is

LCM of Numerators i.e. for 338,946 is 159874

GCF of denominators i.e. for 64,6786 is 2.

Thus, LCM of Fractions is 79937.Finally, LCM of Fractions for 338/64, 946/6786 is 79937.