Least Common Multiple of 31/72, 364/48, 737/988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/72, 364/48, 737/988 quickly i.e. 2079077 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/72, 364/48, 737/988 is 2079077.

LCM(31/72, 364/48, 737/988) = 2079077

LCM of 31/72, 364/48, 737/988

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 31/72,364/48,737/988

Given numbers are 31/72,364/48,737/988

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 31,364,737

Least Common Multiple of Numerators i.e. LCM of 31,364,737 is 8316308.

GCF of Denominators means GCF of 72,48,988 as per the given fractions.

GCF of 72,48,988 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,364,737

LCM of Fractions 31/72,364/48,737/988 is 2079077

Given numbers has no common factors except 1. So, there LCM is their product i.e 8316308

Least Common Multiple of 31,364,737 with GCF Formula

Least Common Multiple of 31,364,737 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 31,364,737 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,364,737) = 1

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

GCF(31,364,737) x common factors =1 x 1 = 1

LCM(31,364,737) = ( 31 × 364 × 737 ) / 1

LCM(31,364,737) = 8316308 / 1

LCM(31,364,737) = 8316308


Lets's calculate GCF of 72,48,988

2 72, 48, 988
2 36, 24, 494
18, 12, 247

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8316308/4

Therefore the LCM of Fractions 31/72,364/48,737/988 is 2079077

Greatest Common Factor of 72,48,988 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,48,988 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Greatest Common Factor

We found the factors 72,48,988 . The biggest common factor number is the GCF number.
So the greatest common factor 72,48,988 is 4.


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 31/72, 364/48, 737/988

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 31/72, 364/48, 737/988?

Answer: LCM of Numerators as per given numbers 31/72, 364/48, 737/988 is

LCM of Numerators i.e. for 31,364,737 is 8316308

GCF of denominators i.e. for 72,48,988 is 4.

Thus, LCM of Fractions is 2079077.Finally, LCM of Fractions for 31/72, 364/48, 737/988 is 2079077.