Least Common Multiple of 922/31, 729/41, 139/28

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 922/31, 729/41, 139/28 quickly i.e. 93427182 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 922/31, 729/41, 139/28 is 93427182.

LCM(922/31, 729/41, 139/28) = 93427182

LCM of 922/31, 729/41, 139/28

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 922/31,729/41,139/28

Given numbers are 922/31,729/41,139/28

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 922,729,139

Least Common Multiple of Numerators i.e. LCM of 922,729,139 is 93427182.

GCF of Denominators means GCF of 31,41,28 as per the given fractions.

GCF of 31,41,28 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 922,729,139

LCM of Fractions 922/31,729/41,139/28 is 93427182

Given numbers has no common factors except 1. So, there LCM is their product i.e 93427182

Least Common Multiple of 922,729,139 with GCF Formula

Least Common Multiple of 922,729,139 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 922,729,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(922,729,139) = 1

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

GCF(922,729,139) x common factors =1 x 1 = 1

LCM(922,729,139) = ( 922 × 729 × 139 ) / 1

LCM(922,729,139) = 93427182 / 1

LCM(922,729,139) = 93427182


Lets's calculate GCF of 31,41,28

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93427182/1

Therefore the LCM of Fractions 922/31,729/41,139/28 is 93427182

Greatest Common Factor of 31,41,28 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,41,28 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Greatest Common Factor

We found the factors 31,41,28 . The biggest common factor number is the GCF number.
So the greatest common factor 31,41,28 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 922/31, 729/41, 139/28

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 922/31, 729/41, 139/28?

Answer: LCM of Numerators as per given numbers 922/31, 729/41, 139/28 is

LCM of Numerators i.e. for 922,729,139 is 93427182

GCF of denominators i.e. for 31,41,28 is 1.

Thus, LCM of Fractions is 93427182.Finally, LCM of Fractions for 922/31, 729/41, 139/28 is 93427182.