Least Common Multiple of 47/252, 96/638, 169/645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/252, 96/638, 169/645 quickly i.e. 762528 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/252, 96/638, 169/645 is 762528.

LCM(47/252, 96/638, 169/645) = 762528

LCM of 47/252, 96/638, 169/645

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 47/252,96/638,169/645

Given numbers are 47/252,96/638,169/645

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 47,96,169

Least Common Multiple of Numerators i.e. LCM of 47,96,169 is 762528.

GCF of Denominators means GCF of 252,638,645 as per the given fractions.

GCF of 252,638,645 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,96,169

LCM of Fractions 47/252,96/638,169/645 is 762528

Given numbers has no common factors except 1. So, there LCM is their product i.e 762528

Least Common Multiple of 47,96,169 with GCF Formula

Least Common Multiple of 47,96,169 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 47,96,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,96,169) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(47,96,169) x common factors =1 x 1 = 1

LCM(47,96,169) = ( 47 × 96 × 169 ) / 1

LCM(47,96,169) = 762528 / 1

LCM(47,96,169) = 762528


Lets's calculate GCF of 252,638,645

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 762528/1

Therefore the LCM of Fractions 47/252,96/638,169/645 is 762528

Greatest Common Factor of 252,638,645 By Matching Biggest Common Factor Method

Greatest Common Factor of 252,638,645 By Matching Biggest Common Factor Method

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Greatest Common Factor

We found the factors 252,638,645 . The biggest common factor number is the GCF number.
So the greatest common factor 252,638,645 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 47/252, 96/638, 169/645

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 47/252, 96/638, 169/645?

Answer: LCM of Numerators as per given numbers 47/252, 96/638, 169/645 is

LCM of Numerators i.e. for 47,96,169 is 762528

GCF of denominators i.e. for 252,638,645 is 1.

Thus, LCM of Fractions is 762528.Finally, LCM of Fractions for 47/252, 96/638, 169/645 is 762528.