Least Common Multiple of 48/963, 3134/1060

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 48/963, 3134/1060 quickly i.e. 75216 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/963, 3134/1060 is 75216.

LCM(48/963, 3134/1060) = 75216

LCM of 48/963, 3134/1060

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 48/963,3134/1060

Given numbers are 48/963,3134/1060

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 48,3134

Least Common Multiple of Numerators i.e. LCM of 48,3134 is 75216.

GCF of Denominators means GCF of 963,1060 as per the given fractions.

GCF of 963,1060 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,3134

LCM of Fractions 48/963,3134/1060 is 75216

2 48, 3134
24, 1567

∴ So the LCM of the given numbers is 2 x 24 x 1567 = 75216

Least Common Multiple of 48,3134 with GCF Formula

Least Common Multiple of 48,3134 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 48,3134 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,3134) = 2

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

GCF(48,3134) x common factors =2 x 1 = 2

LCM(48,3134) = ( 48 × 3134 ) / 2

LCM(48,3134) = 150432 / 2

LCM(48,3134) = 75216


Lets's calculate GCF of 963,1060

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75216/1

Therefore the LCM of Fractions 48/963,3134/1060 is 75216

Greatest Common Factor of 963,1060 By Matching Biggest Common Factor Method

Greatest Common Factor of 963,1060 By Matching Biggest Common Factor Method

Factors of 963

List of positive integer factors of 963 that divides 963 without a remainder.

1,3,9,107,321,963

Factors of 1060

List of positive integer factors of 1060 that divides 1060 without a remainder.

1,2,4,5,10,20,53,106,212,265,530,1060

Greatest Common Factor

We found the factors 963,1060 . The biggest common factor number is the GCF number.
So the greatest common factor 963,1060 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 48/963, 3134/1060

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 48/963, 3134/1060?

Answer: LCM of Numerators as per given numbers 48/963, 3134/1060 is

LCM of Numerators i.e. for 48,3134 is 75216

GCF of denominators i.e. for 963,1060 is 1.

Thus, LCM of Fractions is 75216.Finally, LCM of Fractions for 48/963, 3134/1060 is 75216.