Least Common Multiple of 31/852, 653/36, 274/905

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/852, 653/36, 274/905 quickly i.e. 5546582 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/852, 653/36, 274/905 is 5546582.

LCM(31/852, 653/36, 274/905) = 5546582

LCM of 31/852, 653/36, 274/905

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 31/852,653/36,274/905

Given numbers are 31/852,653/36,274/905

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 31,653,274

Least Common Multiple of Numerators i.e. LCM of 31,653,274 is 5546582.

GCF of Denominators means GCF of 852,36,905 as per the given fractions.

GCF of 852,36,905 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,653,274

LCM of Fractions 31/852,653/36,274/905 is 5546582

Given numbers has no common factors except 1. So, there LCM is their product i.e 5546582

Least Common Multiple of 31,653,274 with GCF Formula

Least Common Multiple of 31,653,274 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 31,653,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,653,274) = 1

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

GCF(31,653,274) x common factors =1 x 1 = 1

LCM(31,653,274) = ( 31 × 653 × 274 ) / 1

LCM(31,653,274) = 5546582 / 1

LCM(31,653,274) = 5546582


Lets's calculate GCF of 852,36,905

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5546582/1

Therefore the LCM of Fractions 31/852,653/36,274/905 is 5546582

Greatest Common Factor of 852,36,905 By Matching Biggest Common Factor Method

Greatest Common Factor of 852,36,905 By Matching Biggest Common Factor Method

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 905

List of positive integer factors of 905 that divides 905 without a remainder.

1,5,181,905

Greatest Common Factor

We found the factors 852,36,905 . The biggest common factor number is the GCF number.
So the greatest common factor 852,36,905 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 31/852, 653/36, 274/905

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 31/852, 653/36, 274/905?

Answer: LCM of Numerators as per given numbers 31/852, 653/36, 274/905 is

LCM of Numerators i.e. for 31,653,274 is 5546582

GCF of denominators i.e. for 852,36,905 is 1.

Thus, LCM of Fractions is 5546582.Finally, LCM of Fractions for 31/852, 653/36, 274/905 is 5546582.