Least Common Multiple of 31/852, 362/928, 903/356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/852, 362/928, 903/356 quickly i.e. 10133466/4 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, 362/928, 903/356 is 10133466/4.

LCM(31/852, 362/928, 903/356) = 10133466/4

LCM of 31/852, 362/928, 903/356

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 31/852,362/928,903/356

Given numbers are 31/852,362/928,903/356

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 31,362,903

Least Common Multiple of Numerators i.e. LCM of 31,362,903 is 10133466.

GCF of Denominators means GCF of 852,928,356 as per the given fractions.

GCF of 852,928,356 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,362,903

LCM of Fractions 31/852,362/928,903/356 is 10133466/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 10133466

Least Common Multiple of 31,362,903 with GCF Formula

Least Common Multiple of 31,362,903 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 31,362,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,362,903) = 1

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

GCF(31,362,903) x common factors =1 x 1 = 1

LCM(31,362,903) = ( 31 × 362 × 903 ) / 1

LCM(31,362,903) = 10133466 / 1

LCM(31,362,903) = 10133466


Lets's calculate GCF of 852,928,356

2 852, 928, 356
2 426, 464, 178
213, 232, 89

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10133466/4

Therefore the LCM of Fractions 31/852,362/928,903/356 is 10133466/4

Greatest Common Factor of 852,928,356 By Matching Biggest Common Factor Method

Greatest Common Factor of 852,928,356 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 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Greatest Common Factor

We found the factors 852,928,356 . The biggest common factor number is the GCF number.
So the greatest common factor 852,928,356 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 31/852, 362/928, 903/356

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, 362/928, 903/356?

Answer: LCM of Numerators as per given numbers 31/852, 362/928, 903/356 is

LCM of Numerators i.e. for 31,362,903 is 10133466

GCF of denominators i.e. for 852,928,356 is 4.

Thus, LCM of Fractions is 10133466/4.Finally, LCM of Fractions for 31/852, 362/928, 903/356 is 10133466/4.