Least Common Multiple of 2955/76, 9963/141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2955/76, 9963/141 quickly i.e. 9813555 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2955/76, 9963/141 is 9813555.

LCM(2955/76, 9963/141) = 9813555

LCM of 2955/76, 9963/141

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 2955/76,9963/141

Given numbers are 2955/76,9963/141

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 2955,9963

Least Common Multiple of Numerators i.e. LCM of 2955,9963 is 9813555.

GCF of Denominators means GCF of 76,141 as per the given fractions.

GCF of 76,141 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2955,9963

LCM of Fractions 2955/76,9963/141 is 9813555

3 2955, 9963
985, 3321

∴ So the LCM of the given numbers is 3 x 985 x 3321 = 9813555

Least Common Multiple of 2955,9963 with GCF Formula

Least Common Multiple of 2955,9963 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 2955,9963 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2955,9963) = 3

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

GCF(2955,9963) x common factors =3 x 1 = 3

LCM(2955,9963) = ( 2955 × 9963 ) / 3

LCM(2955,9963) = 29440665 / 3

LCM(2955,9963) = 9813555


Lets's calculate GCF of 76,141

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9813555/1

Therefore the LCM of Fractions 2955/76,9963/141 is 9813555

Greatest Common Factor of 76,141 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,141 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Greatest Common Factor

We found the factors 76,141 . The biggest common factor number is the GCF number.
So the greatest common factor 76,141 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2955/76, 9963/141

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 2955/76, 9963/141?

Answer: LCM of Numerators as per given numbers 2955/76, 9963/141 is

LCM of Numerators i.e. for 2955,9963 is 9813555

GCF of denominators i.e. for 76,141 is 1.

Thus, LCM of Fractions is 9813555.Finally, LCM of Fractions for 2955/76, 9963/141 is 9813555.