Least Common Multiple of 60/20, 273/35, 364/590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/20, 273/35, 364/590 quickly i.e. 1092 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/20, 273/35, 364/590 is 1092.

LCM(60/20, 273/35, 364/590) = 1092

LCM of 60/20, 273/35, 364/590

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 60/20,273/35,364/590

Given numbers are 60/20,273/35,364/590

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 60,273,364

Least Common Multiple of Numerators i.e. LCM of 60,273,364 is 5460.

GCF of Denominators means GCF of 20,35,590 as per the given fractions.

GCF of 20,35,590 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,273,364

LCM of Fractions 60/20,273/35,364/590 is 1092

2 60, 273, 364
2 30, 273, 182
3 15, 273, 91
7 5, 91, 91
13 5, 13, 13
5, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 13 x 5 x 1 x 1 = 5460

Least Common Multiple of 60,273,364 with GCF Formula

Least Common Multiple of 60,273,364 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 60,273,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,273,364) = 1

common factors(in case of two or more numbers have common factors) = 1092

GCF(60,273,364) x common factors =1 x 1092 = 1092

LCM(60,273,364) = ( 60 × 273 × 364 ) / 1092

LCM(60,273,364) = 5962320 / 1092

LCM(60,273,364) = 5460


Lets's calculate GCF of 20,35,590

5 20, 35, 590
4, 7, 118

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5460/5

Therefore the LCM of Fractions 60/20,273/35,364/590 is 1092

Greatest Common Factor of 20,35,590 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,35,590 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Greatest Common Factor

We found the factors 20,35,590 . The biggest common factor number is the GCF number.
So the greatest common factor 20,35,590 is 5.


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 60/20, 273/35, 364/590

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 60/20, 273/35, 364/590?

Answer: LCM of Numerators as per given numbers 60/20, 273/35, 364/590 is

LCM of Numerators i.e. for 60,273,364 is 5460

GCF of denominators i.e. for 20,35,590 is 5.

Thus, LCM of Fractions is 1092.Finally, LCM of Fractions for 60/20, 273/35, 364/590 is 1092.