Least Common Multiple of 60/367, 83/549, 156/236

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/367, 83/549, 156/236 quickly i.e. 64740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/367, 83/549, 156/236 is 64740.

LCM(60/367, 83/549, 156/236) = 64740

LCM of 60/367, 83/549, 156/236

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 60/367,83/549,156/236

Given numbers are 60/367,83/549,156/236

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 60,83,156

Least Common Multiple of Numerators i.e. LCM of 60,83,156 is 64740.

GCF of Denominators means GCF of 367,549,236 as per the given fractions.

GCF of 367,549,236 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,83,156

LCM of Fractions 60/367,83/549,156/236 is 64740

2 60, 83, 156
2 30, 83, 78
3 15, 83, 39
5, 83, 13

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 83 x 13 = 64740

Least Common Multiple of 60,83,156 with GCF Formula

Least Common Multiple of 60,83,156 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 60,83,156 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,83,156) = 1

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

GCF(60,83,156) x common factors =1 x 12 = 12

LCM(60,83,156) = ( 60 × 83 × 156 ) / 12

LCM(60,83,156) = 776880 / 12

LCM(60,83,156) = 64740


Lets's calculate GCF of 367,549,236

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64740/1

Therefore the LCM of Fractions 60/367,83/549,156/236 is 64740

Greatest Common Factor of 367,549,236 By Matching Biggest Common Factor Method

Greatest Common Factor of 367,549,236 By Matching Biggest Common Factor Method

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

Greatest Common Factor

We found the factors 367,549,236 . The biggest common factor number is the GCF number.
So the greatest common factor 367,549,236 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 60/367, 83/549, 156/236

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 60/367, 83/549, 156/236?

Answer: LCM of Numerators as per given numbers 60/367, 83/549, 156/236 is

LCM of Numerators i.e. for 60,83,156 is 64740

GCF of denominators i.e. for 367,549,236 is 1.

Thus, LCM of Fractions is 64740.Finally, LCM of Fractions for 60/367, 83/549, 156/236 is 64740.