Least Common Multiple of 31/58, 656/30, 231/974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/58, 656/30, 231/974 quickly i.e. 2348808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/58, 656/30, 231/974 is 2348808.

LCM(31/58, 656/30, 231/974) = 2348808

LCM of 31/58, 656/30, 231/974

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 31/58,656/30,231/974

Given numbers are 31/58,656/30,231/974

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 31,656,231

Least Common Multiple of Numerators i.e. LCM of 31,656,231 is 4697616.

GCF of Denominators means GCF of 58,30,974 as per the given fractions.

GCF of 58,30,974 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,656,231

LCM of Fractions 31/58,656/30,231/974 is 2348808

Given numbers has no common factors except 1. So, there LCM is their product i.e 4697616

Least Common Multiple of 31,656,231 with GCF Formula

Least Common Multiple of 31,656,231 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 31,656,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,656,231) = 1

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

GCF(31,656,231) x common factors =1 x 1 = 1

LCM(31,656,231) = ( 31 × 656 × 231 ) / 1

LCM(31,656,231) = 4697616 / 1

LCM(31,656,231) = 4697616


Lets's calculate GCF of 58,30,974

2 58, 30, 974
29, 15, 487

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4697616/2

Therefore the LCM of Fractions 31/58,656/30,231/974 is 2348808

Greatest Common Factor of 58,30,974 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,30,974 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Greatest Common Factor

We found the factors 58,30,974 . The biggest common factor number is the GCF number.
So the greatest common factor 58,30,974 is 2.


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 31/58, 656/30, 231/974

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 31/58, 656/30, 231/974?

Answer: LCM of Numerators as per given numbers 31/58, 656/30, 231/974 is

LCM of Numerators i.e. for 31,656,231 is 4697616

GCF of denominators i.e. for 58,30,974 is 2.

Thus, LCM of Fractions is 2348808.Finally, LCM of Fractions for 31/58, 656/30, 231/974 is 2348808.