Least Common Multiple of 31/970, 85/294, 854/632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/970, 85/294, 854/632 quickly i.e. 1125145 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/970, 85/294, 854/632 is 1125145.

LCM(31/970, 85/294, 854/632) = 1125145

LCM of 31/970, 85/294, 854/632

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 31/970,85/294,854/632

Given numbers are 31/970,85/294,854/632

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 31,85,854

Least Common Multiple of Numerators i.e. LCM of 31,85,854 is 2250290.

GCF of Denominators means GCF of 970,294,632 as per the given fractions.

GCF of 970,294,632 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,85,854

LCM of Fractions 31/970,85/294,854/632 is 1125145

Given numbers has no common factors except 1. So, there LCM is their product i.e 2250290

Least Common Multiple of 31,85,854 with GCF Formula

Least Common Multiple of 31,85,854 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 31,85,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,85,854) = 1

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

GCF(31,85,854) x common factors =1 x 1 = 1

LCM(31,85,854) = ( 31 × 85 × 854 ) / 1

LCM(31,85,854) = 2250290 / 1

LCM(31,85,854) = 2250290


Lets's calculate GCF of 970,294,632

2 970, 294, 632
485, 147, 316

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2250290/2

Therefore the LCM of Fractions 31/970,85/294,854/632 is 1125145

Greatest Common Factor of 970,294,632 By Matching Biggest Common Factor Method

Greatest Common Factor of 970,294,632 By Matching Biggest Common Factor Method

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Greatest Common Factor

We found the factors 970,294,632 . The biggest common factor number is the GCF number.
So the greatest common factor 970,294,632 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 31/970, 85/294, 854/632

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 31/970, 85/294, 854/632?

Answer: LCM of Numerators as per given numbers 31/970, 85/294, 854/632 is

LCM of Numerators i.e. for 31,85,854 is 2250290

GCF of denominators i.e. for 970,294,632 is 2.

Thus, LCM of Fractions is 1125145.Finally, LCM of Fractions for 31/970, 85/294, 854/632 is 1125145.