Least Common Multiple of 31/37, 74/51, 660/680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/37, 74/51, 660/680 quickly i.e. 757020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/37, 74/51, 660/680 is 757020.

LCM(31/37, 74/51, 660/680) = 757020

LCM of 31/37, 74/51, 660/680

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 31/37,74/51,660/680

Given numbers are 31/37,74/51,660/680

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 31,74,660

Least Common Multiple of Numerators i.e. LCM of 31,74,660 is 757020.

GCF of Denominators means GCF of 37,51,680 as per the given fractions.

GCF of 37,51,680 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,74,660

LCM of Fractions 31/37,74/51,660/680 is 757020

2 31, 74, 660
31, 37, 330

∴ So the LCM of the given numbers is 2 x 31 x 37 x 330 = 757020

Least Common Multiple of 31,74,660 with GCF Formula

Least Common Multiple of 31,74,660 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 31,74,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,74,660) = 1

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

GCF(31,74,660) x common factors =1 x 2 = 2

LCM(31,74,660) = ( 31 × 74 × 660 ) / 2

LCM(31,74,660) = 1514040 / 2

LCM(31,74,660) = 757020


Lets's calculate GCF of 37,51,680

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 757020/1

Therefore the LCM of Fractions 31/37,74/51,660/680 is 757020

Greatest Common Factor of 37,51,680 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,51,680 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Greatest Common Factor

We found the factors 37,51,680 . The biggest common factor number is the GCF number.
So the greatest common factor 37,51,680 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 31/37, 74/51, 660/680

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 31/37, 74/51, 660/680?

Answer: LCM of Numerators as per given numbers 31/37, 74/51, 660/680 is

LCM of Numerators i.e. for 31,74,660 is 757020

GCF of denominators i.e. for 37,51,680 is 1.

Thus, LCM of Fractions is 757020.Finally, LCM of Fractions for 31/37, 74/51, 660/680 is 757020.