Least Common Multiple of 2342/130, 6970/5256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2342/130, 6970/5256 quickly i.e. 4080935 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2342/130, 6970/5256 is 4080935.

LCM(2342/130, 6970/5256) = 4080935

LCM of 2342/130, 6970/5256

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 2342/130,6970/5256

Given numbers are 2342/130,6970/5256

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 2342,6970

Least Common Multiple of Numerators i.e. LCM of 2342,6970 is 8161870.

GCF of Denominators means GCF of 130,5256 as per the given fractions.

GCF of 130,5256 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2342,6970

LCM of Fractions 2342/130,6970/5256 is 4080935

2 2342, 6970
1171, 3485

∴ So the LCM of the given numbers is 2 x 1171 x 3485 = 8161870

Least Common Multiple of 2342,6970 with GCF Formula

Least Common Multiple of 2342,6970 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 2342,6970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2342,6970) = 2

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

GCF(2342,6970) x common factors =2 x 1 = 2

LCM(2342,6970) = ( 2342 × 6970 ) / 2

LCM(2342,6970) = 16323740 / 2

LCM(2342,6970) = 8161870


Lets's calculate GCF of 130,5256

2 130, 5256
65, 2628

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8161870/2

Therefore the LCM of Fractions 2342/130,6970/5256 is 4080935

Greatest Common Factor of 130,5256 By Matching Biggest Common Factor Method

Greatest Common Factor of 130,5256 By Matching Biggest Common Factor Method

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Factors of 5256

List of positive integer factors of 5256 that divides 5256 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,73,146,219,292,438,584,657,876,1314,1752,2628,5256

Greatest Common Factor

We found the factors 130,5256 . The biggest common factor number is the GCF number.
So the greatest common factor 130,5256 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 2342/130, 6970/5256

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 2342/130, 6970/5256?

Answer: LCM of Numerators as per given numbers 2342/130, 6970/5256 is

LCM of Numerators i.e. for 2342,6970 is 8161870

GCF of denominators i.e. for 130,5256 is 2.

Thus, LCM of Fractions is 4080935.Finally, LCM of Fractions for 2342/130, 6970/5256 is 4080935.