Least Common Multiple of 94/450, 54/567, 121/767

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 94/450, 54/567, 121/767 quickly i.e. 307098 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/450, 54/567, 121/767 is 307098.

LCM(94/450, 54/567, 121/767) = 307098

LCM of 94/450, 54/567, 121/767

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 94/450,54/567,121/767

Given numbers are 94/450,54/567,121/767

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 94,54,121

Least Common Multiple of Numerators i.e. LCM of 94,54,121 is 307098.

GCF of Denominators means GCF of 450,567,767 as per the given fractions.

GCF of 450,567,767 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,54,121

LCM of Fractions 94/450,54/567,121/767 is 307098

2 94, 54, 121
47, 27, 121

∴ So the LCM of the given numbers is 2 x 47 x 27 x 121 = 307098

Least Common Multiple of 94,54,121 with GCF Formula

Least Common Multiple of 94,54,121 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 94,54,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,54,121) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(94,54,121) x common factors =1 x 2 = 2

LCM(94,54,121) = ( 94 × 54 × 121 ) / 2

LCM(94,54,121) = 614196 / 2

LCM(94,54,121) = 307098


Lets's calculate GCF of 450,567,767

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 307098/1

Therefore the LCM of Fractions 94/450,54/567,121/767 is 307098

Greatest Common Factor of 450,567,767 By Matching Biggest Common Factor Method

Greatest Common Factor of 450,567,767 By Matching Biggest Common Factor Method

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Greatest Common Factor

We found the factors 450,567,767 . The biggest common factor number is the GCF number.
So the greatest common factor 450,567,767 is 1.


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 94/450, 54/567, 121/767

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 94/450, 54/567, 121/767?

Answer: LCM of Numerators as per given numbers 94/450, 54/567, 121/767 is

LCM of Numerators i.e. for 94,54,121 is 307098

GCF of denominators i.e. for 450,567,767 is 1.

Thus, LCM of Fractions is 307098.Finally, LCM of Fractions for 94/450, 54/567, 121/767 is 307098.