Least Common Multiple of 40/378, 151/431, 661/656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/378, 151/431, 661/656 quickly i.e. 3992440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/378, 151/431, 661/656 is 3992440.

LCM(40/378, 151/431, 661/656) = 3992440

LCM of 40/378, 151/431, 661/656

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 40/378,151/431,661/656

Given numbers are 40/378,151/431,661/656

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 40,151,661

Least Common Multiple of Numerators i.e. LCM of 40,151,661 is 3992440.

GCF of Denominators means GCF of 378,431,656 as per the given fractions.

GCF of 378,431,656 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,151,661

LCM of Fractions 40/378,151/431,661/656 is 3992440

Given numbers has no common factors except 1. So, there LCM is their product i.e 3992440

Least Common Multiple of 40,151,661 with GCF Formula

Least Common Multiple of 40,151,661 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 40,151,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,151,661) = 1

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

GCF(40,151,661) x common factors =1 x 1 = 1

LCM(40,151,661) = ( 40 × 151 × 661 ) / 1

LCM(40,151,661) = 3992440 / 1

LCM(40,151,661) = 3992440


Lets's calculate GCF of 378,431,656

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3992440/1

Therefore the LCM of Fractions 40/378,151/431,661/656 is 3992440

Greatest Common Factor of 378,431,656 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,431,656 By Matching Biggest Common Factor Method

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 431

List of positive integer factors of 431 that divides 431 without a remainder.

1,431

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Greatest Common Factor

We found the factors 378,431,656 . The biggest common factor number is the GCF number.
So the greatest common factor 378,431,656 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 40/378, 151/431, 661/656

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 40/378, 151/431, 661/656?

Answer: LCM of Numerators as per given numbers 40/378, 151/431, 661/656 is

LCM of Numerators i.e. for 40,151,661 is 3992440

GCF of denominators i.e. for 378,431,656 is 1.

Thus, LCM of Fractions is 3992440.Finally, LCM of Fractions for 40/378, 151/431, 661/656 is 3992440.