Least Common Multiple of 6476/390, 1349/7952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6476/390, 1349/7952 quickly i.e. 4368062 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6476/390, 1349/7952 is 4368062.

LCM(6476/390, 1349/7952) = 4368062

LCM of 6476/390, 1349/7952

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 6476/390,1349/7952

Given numbers are 6476/390,1349/7952

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 6476,1349

Least Common Multiple of Numerators i.e. LCM of 6476,1349 is 8736124.

GCF of Denominators means GCF of 390,7952 as per the given fractions.

GCF of 390,7952 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6476,1349

LCM of Fractions 6476/390,1349/7952 is 4368062

Given numbers has no common factors except 1. So, there LCM is their product i.e 8736124

Least Common Multiple of 6476,1349 with GCF Formula

Least Common Multiple of 6476,1349 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 6476,1349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6476,1349) = 1

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

GCF(6476,1349) x common factors =1 x 1 = 1

LCM(6476,1349) = ( 6476 × 1349 ) / 1

LCM(6476,1349) = 8736124 / 1

LCM(6476,1349) = 8736124


Lets's calculate GCF of 390,7952

2 390, 7952
195, 3976

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8736124/2

Therefore the LCM of Fractions 6476/390,1349/7952 is 4368062

Greatest Common Factor of 390,7952 By Matching Biggest Common Factor Method

Greatest Common Factor of 390,7952 By Matching Biggest Common Factor Method

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 7952

List of positive integer factors of 7952 that divides 7952 without a remainder.

1,2,4,7,8,14,16,28,56,71,112,142,284,497,568,994,1136,1988,3976,7952

Greatest Common Factor

We found the factors 390,7952 . The biggest common factor number is the GCF number.
So the greatest common factor 390,7952 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6476/390, 1349/7952

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 6476/390, 1349/7952?

Answer: LCM of Numerators as per given numbers 6476/390, 1349/7952 is

LCM of Numerators i.e. for 6476,1349 is 8736124

GCF of denominators i.e. for 390,7952 is 2.

Thus, LCM of Fractions is 4368062.Finally, LCM of Fractions for 6476/390, 1349/7952 is 4368062.