Least Common Multiple of 54/63, 71/84, 11/24, 97/504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/63, 71/84, 11/24, 97/504 quickly i.e. 1363626 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/63, 71/84, 11/24, 97/504 is 1363626.

LCM(54/63, 71/84, 11/24, 97/504) = 1363626

LCM of 54/63, 71/84, 11/24, 97/504

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 54/63,71/84,11/24,97/504

Given numbers are 54/63,71/84,11/24,97/504

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 54,71,11,97

Least Common Multiple of Numerators i.e. LCM of 54,71,11,97 is 4090878.

GCF of Denominators means GCF of 63,84,24,504 as per the given fractions.

GCF of 63,84,24,504 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,71,11,97

LCM of Fractions 54/63,71/84,11/24,97/504 is 1363626

Given numbers has no common factors except 1. So, there LCM is their product i.e 4090878

Least Common Multiple of 54,71,11,97 with GCF Formula

Least Common Multiple of 54,71,11,97 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 54,71,11,97 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,71,11,97) = 1

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

GCF(54,71,11,97) x common factors =1 x 1 = 1

LCM(54,71,11,97) = ( 54 × 71 × 11 × 97 ) / 1

LCM(54,71,11,97) = 4090878 / 1

LCM(54,71,11,97) = 4090878


Lets's calculate GCF of 63,84,24,504

3 63, 84, 24, 504
21, 28, 8, 168

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4090878/3

Therefore the LCM of Fractions 54/63,71/84,11/24,97/504 is 1363626

Greatest Common Factor of 63,84,24,504 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,84,24,504 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Greatest Common Factor

We found the factors 63,84,24,504 . The biggest common factor number is the GCF number.
So the greatest common factor 63,84,24,504 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 54/63, 71/84, 11/24, 97/504

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 54/63, 71/84, 11/24, 97/504?

Answer: LCM of Numerators as per given numbers 54/63, 71/84, 11/24, 97/504 is

LCM of Numerators i.e. for 54,71,11,97 is 4090878

GCF of denominators i.e. for 63,84,24,504 is 3.

Thus, LCM of Fractions is 1363626.Finally, LCM of Fractions for 54/63, 71/84, 11/24, 97/504 is 1363626.