Least Common Multiple of 37/27, 40/10, 780/747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/27, 40/10, 780/747 quickly i.e. 57720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/27, 40/10, 780/747 is 57720.

LCM(37/27, 40/10, 780/747) = 57720

LCM of 37/27, 40/10, 780/747

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 37/27,40/10,780/747

Given numbers are 37/27,40/10,780/747

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 37,40,780

Least Common Multiple of Numerators i.e. LCM of 37,40,780 is 57720.

GCF of Denominators means GCF of 27,10,747 as per the given fractions.

GCF of 27,10,747 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,40,780

LCM of Fractions 37/27,40/10,780/747 is 57720

2 37, 40, 780
2 37, 20, 390
5 37, 10, 195
37, 2, 39

∴ So the LCM of the given numbers is 2 x 2 x 5 x 37 x 2 x 39 = 57720

Least Common Multiple of 37,40,780 with GCF Formula

Least Common Multiple of 37,40,780 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 37,40,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,40,780) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(37,40,780) x common factors =1 x 20 = 20

LCM(37,40,780) = ( 37 × 40 × 780 ) / 20

LCM(37,40,780) = 1154400 / 20

LCM(37,40,780) = 57720


Lets's calculate GCF of 27,10,747

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57720/1

Therefore the LCM of Fractions 37/27,40/10,780/747 is 57720

Greatest Common Factor of 27,10,747 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,10,747 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Greatest Common Factor

We found the factors 27,10,747 . The biggest common factor number is the GCF number.
So the greatest common factor 27,10,747 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 37/27, 40/10, 780/747

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 37/27, 40/10, 780/747?

Answer: LCM of Numerators as per given numbers 37/27, 40/10, 780/747 is

LCM of Numerators i.e. for 37,40,780 is 57720

GCF of denominators i.e. for 27,10,747 is 1.

Thus, LCM of Fractions is 57720.Finally, LCM of Fractions for 37/27, 40/10, 780/747 is 57720.