Least Common Multiple of 40/31, 132/39, 778/885

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/31, 132/39, 778/885 quickly i.e. 513480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/31, 132/39, 778/885 is 513480.

LCM(40/31, 132/39, 778/885) = 513480

LCM of 40/31, 132/39, 778/885

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 40/31,132/39,778/885

Given numbers are 40/31,132/39,778/885

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 40,132,778

Least Common Multiple of Numerators i.e. LCM of 40,132,778 is 513480.

GCF of Denominators means GCF of 31,39,885 as per the given fractions.

GCF of 31,39,885 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,132,778

LCM of Fractions 40/31,132/39,778/885 is 513480

2 40, 132, 778
2 20, 66, 389
10, 33, 389

∴ So the LCM of the given numbers is 2 x 2 x 10 x 33 x 389 = 513480

Least Common Multiple of 40,132,778 with GCF Formula

Least Common Multiple of 40,132,778 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 40,132,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,132,778) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(40,132,778) x common factors =2 x 4 = 8

LCM(40,132,778) = ( 40 × 132 × 778 ) / 8

LCM(40,132,778) = 4107840 / 8

LCM(40,132,778) = 513480


Lets's calculate GCF of 31,39,885

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 513480/1

Therefore the LCM of Fractions 40/31,132/39,778/885 is 513480

Greatest Common Factor of 31,39,885 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,39,885 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 885

List of positive integer factors of 885 that divides 885 without a remainder.

1,3,5,15,59,177,295,885

Greatest Common Factor

We found the factors 31,39,885 . The biggest common factor number is the GCF number.
So the greatest common factor 31,39,885 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 40/31, 132/39, 778/885

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 40/31, 132/39, 778/885?

Answer: LCM of Numerators as per given numbers 40/31, 132/39, 778/885 is

LCM of Numerators i.e. for 40,132,778 is 513480

GCF of denominators i.e. for 31,39,885 is 1.

Thus, LCM of Fractions is 513480.Finally, LCM of Fractions for 40/31, 132/39, 778/885 is 513480.