Least Common Multiple of 946/82, 276/3717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 946/82, 276/3717 quickly i.e. 130548 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 946/82, 276/3717 is 130548.

LCM(946/82, 276/3717) = 130548

LCM of 946/82, 276/3717

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 946/82,276/3717

Given numbers are 946/82,276/3717

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 946,276

Least Common Multiple of Numerators i.e. LCM of 946,276 is 130548.

GCF of Denominators means GCF of 82,3717 as per the given fractions.

GCF of 82,3717 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 946,276

LCM of Fractions 946/82,276/3717 is 130548

2 946, 276
473, 138

∴ So the LCM of the given numbers is 2 x 473 x 138 = 130548

Least Common Multiple of 946,276 with GCF Formula

Least Common Multiple of 946,276 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 946,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(946,276) = 2

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

GCF(946,276) x common factors =2 x 1 = 2

LCM(946,276) = ( 946 × 276 ) / 2

LCM(946,276) = 261096 / 2

LCM(946,276) = 130548


Lets's calculate GCF of 82,3717

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 130548/1

Therefore the LCM of Fractions 946/82,276/3717 is 130548

Greatest Common Factor of 82,3717 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,3717 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 3717

List of positive integer factors of 3717 that divides 3717 without a remainder.

1,3,7,9,21,59,63,177,413,531,1239,3717

Greatest Common Factor

We found the factors 82,3717 . The biggest common factor number is the GCF number.
So the greatest common factor 82,3717 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 946/82, 276/3717

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 946/82, 276/3717?

Answer: LCM of Numerators as per given numbers 946/82, 276/3717 is

LCM of Numerators i.e. for 946,276 is 130548

GCF of denominators i.e. for 82,3717 is 1.

Thus, LCM of Fractions is 130548.Finally, LCM of Fractions for 946/82, 276/3717 is 130548.