Least Common Multiple of 81/274, 761/957, 761/341

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/274, 761/957, 761/341 quickly i.e. 61641 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/274, 761/957, 761/341 is 61641.

LCM(81/274, 761/957, 761/341) = 61641

LCM of 81/274, 761/957, 761/341

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 81/274,761/957,761/341

Given numbers are 81/274,761/957,761/341

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 81,761,761

Least Common Multiple of Numerators i.e. LCM of 81,761,761 is 61641.

GCF of Denominators means GCF of 274,957,341 as per the given fractions.

GCF of 274,957,341 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,761,761

LCM of Fractions 81/274,761/957,761/341 is 61641

761 81, 761, 761
81, 1, 1

∴ So the LCM of the given numbers is 761 x 81 x 1 x 1 = 61641

Least Common Multiple of 81,761,761 with GCF Formula

Least Common Multiple of 81,761,761 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 81,761,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,761,761) = 1

common factors(in case of two or more numbers have common factors) = 761

GCF(81,761,761) x common factors =1 x 761 = 761

LCM(81,761,761) = ( 81 × 761 × 761 ) / 761

LCM(81,761,761) = 46908801 / 761

LCM(81,761,761) = 61641


Lets's calculate GCF of 274,957,341

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61641/1

Therefore the LCM of Fractions 81/274,761/957,761/341 is 61641

Greatest Common Factor of 274,957,341 By Matching Biggest Common Factor Method

Greatest Common Factor of 274,957,341 By Matching Biggest Common Factor Method

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Factors of 957

List of positive integer factors of 957 that divides 957 without a remainder.

1,3,11,29,33,87,319,957

Factors of 341

List of positive integer factors of 341 that divides 341 without a remainder.

1,11,31,341

Greatest Common Factor

We found the factors 274,957,341 . The biggest common factor number is the GCF number.
So the greatest common factor 274,957,341 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 81/274, 761/957, 761/341

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 81/274, 761/957, 761/341?

Answer: LCM of Numerators as per given numbers 81/274, 761/957, 761/341 is

LCM of Numerators i.e. for 81,761,761 is 61641

GCF of denominators i.e. for 274,957,341 is 1.

Thus, LCM of Fractions is 61641.Finally, LCM of Fractions for 81/274, 761/957, 761/341 is 61641.