Least Common Multiple of 31/327, 406/978, 664/878

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/327, 406/978, 664/878 quickly i.e. 4178552 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/327, 406/978, 664/878 is 4178552.

LCM(31/327, 406/978, 664/878) = 4178552

LCM of 31/327, 406/978, 664/878

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 31/327,406/978,664/878

Given numbers are 31/327,406/978,664/878

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 31,406,664

Least Common Multiple of Numerators i.e. LCM of 31,406,664 is 4178552.

GCF of Denominators means GCF of 327,978,878 as per the given fractions.

GCF of 327,978,878 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,406,664

LCM of Fractions 31/327,406/978,664/878 is 4178552

2 31, 406, 664
31, 203, 332

∴ So the LCM of the given numbers is 2 x 31 x 203 x 332 = 4178552

Least Common Multiple of 31,406,664 with GCF Formula

Least Common Multiple of 31,406,664 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 31,406,664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,406,664) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(31,406,664) x common factors =1 x 2 = 2

LCM(31,406,664) = ( 31 × 406 × 664 ) / 2

LCM(31,406,664) = 8357104 / 2

LCM(31,406,664) = 4178552


Lets's calculate GCF of 327,978,878

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4178552/1

Therefore the LCM of Fractions 31/327,406/978,664/878 is 4178552

Greatest Common Factor of 327,978,878 By Matching Biggest Common Factor Method

Greatest Common Factor of 327,978,878 By Matching Biggest Common Factor Method

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Greatest Common Factor

We found the factors 327,978,878 . The biggest common factor number is the GCF number.
So the greatest common factor 327,978,878 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 31/327, 406/978, 664/878

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 31/327, 406/978, 664/878?

Answer: LCM of Numerators as per given numbers 31/327, 406/978, 664/878 is

LCM of Numerators i.e. for 31,406,664 is 4178552

GCF of denominators i.e. for 327,978,878 is 1.

Thus, LCM of Fractions is 4178552.Finally, LCM of Fractions for 31/327, 406/978, 664/878 is 4178552.