Least Common Multiple of 60/392, 81/364, 116/837

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/392, 81/364, 116/837 quickly i.e. 46980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/392, 81/364, 116/837 is 46980.

LCM(60/392, 81/364, 116/837) = 46980

LCM of 60/392, 81/364, 116/837

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 60/392,81/364,116/837

Given numbers are 60/392,81/364,116/837

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 60,81,116

Least Common Multiple of Numerators i.e. LCM of 60,81,116 is 46980.

GCF of Denominators means GCF of 392,364,837 as per the given fractions.

GCF of 392,364,837 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,81,116

LCM of Fractions 60/392,81/364,116/837 is 46980

2 60, 81, 116
2 30, 81, 58
3 15, 81, 29
5, 27, 29

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 27 x 29 = 46980

Least Common Multiple of 60,81,116 with GCF Formula

Least Common Multiple of 60,81,116 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 60,81,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,81,116) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(60,81,116) x common factors =1 x 12 = 12

LCM(60,81,116) = ( 60 × 81 × 116 ) / 12

LCM(60,81,116) = 563760 / 12

LCM(60,81,116) = 46980


Lets's calculate GCF of 392,364,837

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46980/1

Therefore the LCM of Fractions 60/392,81/364,116/837 is 46980

Greatest Common Factor of 392,364,837 By Matching Biggest Common Factor Method

Greatest Common Factor of 392,364,837 By Matching Biggest Common Factor Method

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 837

List of positive integer factors of 837 that divides 837 without a remainder.

1,3,9,27,31,93,279,837

Greatest Common Factor

We found the factors 392,364,837 . The biggest common factor number is the GCF number.
So the greatest common factor 392,364,837 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 60/392, 81/364, 116/837

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 60/392, 81/364, 116/837?

Answer: LCM of Numerators as per given numbers 60/392, 81/364, 116/837 is

LCM of Numerators i.e. for 60,81,116 is 46980

GCF of denominators i.e. for 392,364,837 is 1.

Thus, LCM of Fractions is 46980.Finally, LCM of Fractions for 60/392, 81/364, 116/837 is 46980.