Least Common Multiple of 37/60, 678/81, 460/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/60, 678/81, 460/658 quickly i.e. 5769780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/60, 678/81, 460/658 is 5769780.

LCM(37/60, 678/81, 460/658) = 5769780

LCM of 37/60, 678/81, 460/658

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 37/60,678/81,460/658

Given numbers are 37/60,678/81,460/658

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 37,678,460

Least Common Multiple of Numerators i.e. LCM of 37,678,460 is 5769780.

GCF of Denominators means GCF of 60,81,658 as per the given fractions.

GCF of 60,81,658 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,678,460

LCM of Fractions 37/60,678/81,460/658 is 5769780

2 37, 678, 460
37, 339, 230

∴ So the LCM of the given numbers is 2 x 37 x 339 x 230 = 5769780

Least Common Multiple of 37,678,460 with GCF Formula

Least Common Multiple of 37,678,460 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 37,678,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,678,460) = 1

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

GCF(37,678,460) x common factors =1 x 2 = 2

LCM(37,678,460) = ( 37 × 678 × 460 ) / 2

LCM(37,678,460) = 11539560 / 2

LCM(37,678,460) = 5769780


Lets's calculate GCF of 60,81,658

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5769780/1

Therefore the LCM of Fractions 37/60,678/81,460/658 is 5769780

Greatest Common Factor of 60,81,658 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,81,658 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Greatest Common Factor

We found the factors 60,81,658 . The biggest common factor number is the GCF number.
So the greatest common factor 60,81,658 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 37/60, 678/81, 460/658

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 37/60, 678/81, 460/658?

Answer: LCM of Numerators as per given numbers 37/60, 678/81, 460/658 is

LCM of Numerators i.e. for 37,678,460 is 5769780

GCF of denominators i.e. for 60,81,658 is 1.

Thus, LCM of Fractions is 5769780.Finally, LCM of Fractions for 37/60, 678/81, 460/658 is 5769780.