Least Common Multiple of 130/77, 748/4108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 130/77, 748/4108 quickly i.e. 48620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 130/77, 748/4108 is 48620.

LCM(130/77, 748/4108) = 48620

LCM of 130/77, 748/4108

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 130/77,748/4108

Given numbers are 130/77,748/4108

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 130,748

Least Common Multiple of Numerators i.e. LCM of 130,748 is 48620.

GCF of Denominators means GCF of 77,4108 as per the given fractions.

GCF of 77,4108 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 130,748

LCM of Fractions 130/77,748/4108 is 48620

2 130, 748
65, 374

∴ So the LCM of the given numbers is 2 x 65 x 374 = 48620

Least Common Multiple of 130,748 with GCF Formula

Least Common Multiple of 130,748 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 130,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(130,748) = 2

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

GCF(130,748) x common factors =2 x 1 = 2

LCM(130,748) = ( 130 × 748 ) / 2

LCM(130,748) = 97240 / 2

LCM(130,748) = 48620


Lets's calculate GCF of 77,4108

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48620/1

Therefore the LCM of Fractions 130/77,748/4108 is 48620

Greatest Common Factor of 77,4108 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,4108 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 4108

List of positive integer factors of 4108 that divides 4108 without a remainder.

1,2,4,13,26,52,79,158,316,1027,2054,4108

Greatest Common Factor

We found the factors 77,4108 . The biggest common factor number is the GCF number.
So the greatest common factor 77,4108 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 130/77, 748/4108

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 130/77, 748/4108?

Answer: LCM of Numerators as per given numbers 130/77, 748/4108 is

LCM of Numerators i.e. for 130,748 is 48620

GCF of denominators i.e. for 77,4108 is 1.

Thus, LCM of Fractions is 48620.Finally, LCM of Fractions for 130/77, 748/4108 is 48620.