Least Common Multiple of 31/335, 896/324, 475/921

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/335, 896/324, 475/921 quickly i.e. 13193600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/335, 896/324, 475/921 is 13193600.

LCM(31/335, 896/324, 475/921) = 13193600

LCM of 31/335, 896/324, 475/921

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 31/335,896/324,475/921

Given numbers are 31/335,896/324,475/921

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 31,896,475

Least Common Multiple of Numerators i.e. LCM of 31,896,475 is 13193600.

GCF of Denominators means GCF of 335,324,921 as per the given fractions.

GCF of 335,324,921 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,896,475

LCM of Fractions 31/335,896/324,475/921 is 13193600

Given numbers has no common factors except 1. So, there LCM is their product i.e 13193600

Least Common Multiple of 31,896,475 with GCF Formula

Least Common Multiple of 31,896,475 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 31,896,475 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,896,475) = 1

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

GCF(31,896,475) x common factors =1 x 1 = 1

LCM(31,896,475) = ( 31 × 896 × 475 ) / 1

LCM(31,896,475) = 13193600 / 1

LCM(31,896,475) = 13193600


Lets's calculate GCF of 335,324,921

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13193600/1

Therefore the LCM of Fractions 31/335,896/324,475/921 is 13193600

Greatest Common Factor of 335,324,921 By Matching Biggest Common Factor Method

Greatest Common Factor of 335,324,921 By Matching Biggest Common Factor Method

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1,5,67,335

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Greatest Common Factor

We found the factors 335,324,921 . The biggest common factor number is the GCF number.
So the greatest common factor 335,324,921 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 31/335, 896/324, 475/921

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 31/335, 896/324, 475/921?

Answer: LCM of Numerators as per given numbers 31/335, 896/324, 475/921 is

LCM of Numerators i.e. for 31,896,475 is 13193600

GCF of denominators i.e. for 335,324,921 is 1.

Thus, LCM of Fractions is 13193600.Finally, LCM of Fractions for 31/335, 896/324, 475/921 is 13193600.