Least Common Multiple of 54/298, 932/764, 961/897

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/298, 932/764, 961/897 quickly i.e. 24182604 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/298, 932/764, 961/897 is 24182604.

LCM(54/298, 932/764, 961/897) = 24182604

LCM of 54/298, 932/764, 961/897

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 54/298,932/764,961/897

Given numbers are 54/298,932/764,961/897

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 54,932,961

Least Common Multiple of Numerators i.e. LCM of 54,932,961 is 24182604.

GCF of Denominators means GCF of 298,764,897 as per the given fractions.

GCF of 298,764,897 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,932,961

LCM of Fractions 54/298,932/764,961/897 is 24182604

2 54, 932, 961
27, 466, 961

∴ So the LCM of the given numbers is 2 x 27 x 466 x 961 = 24182604

Least Common Multiple of 54,932,961 with GCF Formula

Least Common Multiple of 54,932,961 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 54,932,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,932,961) = 1

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

GCF(54,932,961) x common factors =1 x 2 = 2

LCM(54,932,961) = ( 54 × 932 × 961 ) / 2

LCM(54,932,961) = 48365208 / 2

LCM(54,932,961) = 24182604


Lets's calculate GCF of 298,764,897

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24182604/1

Therefore the LCM of Fractions 54/298,932/764,961/897 is 24182604

Greatest Common Factor of 298,764,897 By Matching Biggest Common Factor Method

Greatest Common Factor of 298,764,897 By Matching Biggest Common Factor Method

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Factors of 897

List of positive integer factors of 897 that divides 897 without a remainder.

1,3,13,23,39,69,299,897

Greatest Common Factor

We found the factors 298,764,897 . The biggest common factor number is the GCF number.
So the greatest common factor 298,764,897 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 54/298, 932/764, 961/897

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 54/298, 932/764, 961/897?

Answer: LCM of Numerators as per given numbers 54/298, 932/764, 961/897 is

LCM of Numerators i.e. for 54,932,961 is 24182604

GCF of denominators i.e. for 298,764,897 is 1.

Thus, LCM of Fractions is 24182604.Finally, LCM of Fractions for 54/298, 932/764, 961/897 is 24182604.