Least Common Multiple of 60/144, 165/821, 563/473

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/144, 165/821, 563/473 quickly i.e. 371580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/144, 165/821, 563/473 is 371580.

LCM(60/144, 165/821, 563/473) = 371580

LCM of 60/144, 165/821, 563/473

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 60/144,165/821,563/473

Given numbers are 60/144,165/821,563/473

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 60,165,563

Least Common Multiple of Numerators i.e. LCM of 60,165,563 is 371580.

GCF of Denominators means GCF of 144,821,473 as per the given fractions.

GCF of 144,821,473 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,165,563

LCM of Fractions 60/144,165/821,563/473 is 371580

3 60, 165, 563
5 20, 55, 563
4, 11, 563

∴ So the LCM of the given numbers is 3 x 5 x 4 x 11 x 563 = 371580

Least Common Multiple of 60,165,563 with GCF Formula

Least Common Multiple of 60,165,563 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 60,165,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,165,563) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(60,165,563) x common factors =1 x 15 = 15

LCM(60,165,563) = ( 60 × 165 × 563 ) / 15

LCM(60,165,563) = 5573700 / 15

LCM(60,165,563) = 371580


Lets's calculate GCF of 144,821,473

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 371580/1

Therefore the LCM of Fractions 60/144,165/821,563/473 is 371580

Greatest Common Factor of 144,821,473 By Matching Biggest Common Factor Method

Greatest Common Factor of 144,821,473 By Matching Biggest Common Factor Method

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Factors of 473

List of positive integer factors of 473 that divides 473 without a remainder.

1,11,43,473

Greatest Common Factor

We found the factors 144,821,473 . The biggest common factor number is the GCF number.
So the greatest common factor 144,821,473 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 60/144, 165/821, 563/473

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 60/144, 165/821, 563/473?

Answer: LCM of Numerators as per given numbers 60/144, 165/821, 563/473 is

LCM of Numerators i.e. for 60,165,563 is 371580

GCF of denominators i.e. for 144,821,473 is 1.

Thus, LCM of Fractions is 371580.Finally, LCM of Fractions for 60/144, 165/821, 563/473 is 371580.