Least Common Multiple of 63/15, 72/696, 969/501

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 63/15, 72/696, 969/501 quickly i.e. 54264 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 63/15, 72/696, 969/501 is 54264.

LCM(63/15, 72/696, 969/501) = 54264

LCM of 63/15, 72/696, 969/501

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 63/15,72/696,969/501

Given numbers are 63/15,72/696,969/501

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 63,72,969

Least Common Multiple of Numerators i.e. LCM of 63,72,969 is 162792.

GCF of Denominators means GCF of 15,696,501 as per the given fractions.

GCF of 15,696,501 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 63,72,969

LCM of Fractions 63/15,72/696,969/501 is 54264

3 63, 72, 969
3 21, 24, 323
7, 8, 323

∴ So the LCM of the given numbers is 3 x 3 x 7 x 8 x 323 = 162792

Least Common Multiple of 63,72,969 with GCF Formula

Least Common Multiple of 63,72,969 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 63,72,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,72,969) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(63,72,969) x common factors =3 x 9 = 27

LCM(63,72,969) = ( 63 × 72 × 969 ) / 27

LCM(63,72,969) = 4395384 / 27

LCM(63,72,969) = 162792


Lets's calculate GCF of 15,696,501

3 15, 696, 501
5, 232, 167

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 162792/3

Therefore the LCM of Fractions 63/15,72/696,969/501 is 54264

Greatest Common Factor of 15,696,501 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,696,501 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Greatest Common Factor

We found the factors 15,696,501 . The biggest common factor number is the GCF number.
So the greatest common factor 15,696,501 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 63/15, 72/696, 969/501

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 63/15, 72/696, 969/501?

Answer: LCM of Numerators as per given numbers 63/15, 72/696, 969/501 is

LCM of Numerators i.e. for 63,72,969 is 162792

GCF of denominators i.e. for 15,696,501 is 3.

Thus, LCM of Fractions is 54264.Finally, LCM of Fractions for 63/15, 72/696, 969/501 is 54264.