Least Common Multiple of 661/96, 123/5074

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 661/96, 123/5074 quickly i.e. 81303/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 661/96, 123/5074 is 81303/2.

LCM(661/96, 123/5074) = 81303/2

LCM of 661/96, 123/5074

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 661/96,123/5074

Given numbers are 661/96,123/5074

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 661,123

Least Common Multiple of Numerators i.e. LCM of 661,123 is 81303.

GCF of Denominators means GCF of 96,5074 as per the given fractions.

GCF of 96,5074 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 661,123

LCM of Fractions 661/96,123/5074 is 81303/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 81303

Least Common Multiple of 661,123 with GCF Formula

Least Common Multiple of 661,123 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 661,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(661,123) = 1

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

GCF(661,123) x common factors =1 x 1 = 1

LCM(661,123) = ( 661 × 123 ) / 1

LCM(661,123) = 81303 / 1

LCM(661,123) = 81303


Lets's calculate GCF of 96,5074

2 96, 5074
48, 2537

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81303/2

Therefore the LCM of Fractions 661/96,123/5074 is 81303/2

Greatest Common Factor of 96,5074 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,5074 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 5074

List of positive integer factors of 5074 that divides 5074 without a remainder.

1,2,43,59,86,118,2537,5074

Greatest Common Factor

We found the factors 96,5074 . The biggest common factor number is the GCF number.
So the greatest common factor 96,5074 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 661/96, 123/5074

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 661/96, 123/5074?

Answer: LCM of Numerators as per given numbers 661/96, 123/5074 is

LCM of Numerators i.e. for 661,123 is 81303

GCF of denominators i.e. for 96,5074 is 2.

Thus, LCM of Fractions is 81303/2.Finally, LCM of Fractions for 661/96, 123/5074 is 81303/2.