Least Common Multiple of 61/902, 73/377, 438/940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/902, 73/377, 438/940 quickly i.e. 26718 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/902, 73/377, 438/940 is 26718.

LCM(61/902, 73/377, 438/940) = 26718

LCM of 61/902, 73/377, 438/940

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 61/902,73/377,438/940

Given numbers are 61/902,73/377,438/940

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 61,73,438

Least Common Multiple of Numerators i.e. LCM of 61,73,438 is 26718.

GCF of Denominators means GCF of 902,377,940 as per the given fractions.

GCF of 902,377,940 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,73,438

LCM of Fractions 61/902,73/377,438/940 is 26718

73 61, 73, 438
61, 1, 6

∴ So the LCM of the given numbers is 73 x 61 x 1 x 6 = 26718

Least Common Multiple of 61,73,438 with GCF Formula

Least Common Multiple of 61,73,438 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 61,73,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,73,438) = 1

common factors(in case of two or more numbers have common factors) = 73

GCF(61,73,438) x common factors =1 x 73 = 73

LCM(61,73,438) = ( 61 × 73 × 438 ) / 73

LCM(61,73,438) = 1950414 / 73

LCM(61,73,438) = 26718


Lets's calculate GCF of 902,377,940

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26718/1

Therefore the LCM of Fractions 61/902,73/377,438/940 is 26718

Greatest Common Factor of 902,377,940 By Matching Biggest Common Factor Method

Greatest Common Factor of 902,377,940 By Matching Biggest Common Factor Method

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1,13,29,377

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Greatest Common Factor

We found the factors 902,377,940 . The biggest common factor number is the GCF number.
So the greatest common factor 902,377,940 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 61/902, 73/377, 438/940

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 61/902, 73/377, 438/940?

Answer: LCM of Numerators as per given numbers 61/902, 73/377, 438/940 is

LCM of Numerators i.e. for 61,73,438 is 26718

GCF of denominators i.e. for 902,377,940 is 1.

Thus, LCM of Fractions is 26718.Finally, LCM of Fractions for 61/902, 73/377, 438/940 is 26718.