Least Common Multiple of 60/213, 152/537, 483/495

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/213, 152/537, 483/495 quickly i.e. 122360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/213, 152/537, 483/495 is 122360.

LCM(60/213, 152/537, 483/495) = 122360

LCM of 60/213, 152/537, 483/495

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 60/213,152/537,483/495

Given numbers are 60/213,152/537,483/495

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 60,152,483

Least Common Multiple of Numerators i.e. LCM of 60,152,483 is 367080.

GCF of Denominators means GCF of 213,537,495 as per the given fractions.

GCF of 213,537,495 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,152,483

LCM of Fractions 60/213,152/537,483/495 is 122360

2 60, 152, 483
2 30, 76, 483
3 15, 38, 483
5, 38, 161

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 38 x 161 = 367080

Least Common Multiple of 60,152,483 with GCF Formula

Least Common Multiple of 60,152,483 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 60,152,483 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,152,483) = 1

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

GCF(60,152,483) x common factors =1 x 12 = 12

LCM(60,152,483) = ( 60 × 152 × 483 ) / 12

LCM(60,152,483) = 4404960 / 12

LCM(60,152,483) = 367080


Lets's calculate GCF of 213,537,495

3 213, 537, 495
71, 179, 165

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 367080/3

Therefore the LCM of Fractions 60/213,152/537,483/495 is 122360

Greatest Common Factor of 213,537,495 By Matching Biggest Common Factor Method

Greatest Common Factor of 213,537,495 By Matching Biggest Common Factor Method

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Greatest Common Factor

We found the factors 213,537,495 . The biggest common factor number is the GCF number.
So the greatest common factor 213,537,495 is 3.


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 60/213, 152/537, 483/495

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 60/213, 152/537, 483/495?

Answer: LCM of Numerators as per given numbers 60/213, 152/537, 483/495 is

LCM of Numerators i.e. for 60,152,483 is 367080

GCF of denominators i.e. for 213,537,495 is 3.

Thus, LCM of Fractions is 122360.Finally, LCM of Fractions for 60/213, 152/537, 483/495 is 122360.