Least Common Multiple of 63/54, 42/42, 71/35, 84/959

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 63/54, 42/42, 71/35, 84/959 quickly i.e. 17892 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 63/54, 42/42, 71/35, 84/959 is 17892.

LCM(63/54, 42/42, 71/35, 84/959) = 17892

LCM of 63/54, 42/42, 71/35, 84/959

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 63/54,42/42,71/35,84/959

Given numbers are 63/54,42/42,71/35,84/959

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 63,42,71,84

Least Common Multiple of Numerators i.e. LCM of 63,42,71,84 is 17892.

GCF of Denominators means GCF of 54,42,35,959 as per the given fractions.

GCF of 54,42,35,959 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 63,42,71,84

LCM of Fractions 63/54,42/42,71/35,84/959 is 17892

2 63, 42, 71, 84
3 63, 21, 71, 42
7 7, 21, 71, 14
1, 3, 71, 2

∴ So the LCM of the given numbers is 2 x 3 x 7 x 1 x 3 x 71 x 2 = 17892

Least Common Multiple of 63,42,71,84 with GCF Formula

Least Common Multiple of 63,42,71,84 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 63,42,71,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,42,71,84) = 1

common factors(in case of two or more numbers have common factors) = 882

GCF(63,42,71,84) x common factors =1 x 882 = 882

LCM(63,42,71,84) = ( 63 × 42 × 71 × 84 ) / 882

LCM(63,42,71,84) = 15780744 / 882

LCM(63,42,71,84) = 17892


Lets's calculate GCF of 54,42,35,959

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17892/1

Therefore the LCM of Fractions 63/54,42/42,71/35,84/959 is 17892

Greatest Common Factor of 54,42,35,959 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,42,35,959 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 959

List of positive integer factors of 959 that divides 959 without a remainder.

1,7,137,959

Greatest Common Factor

We found the factors 54,42,35,959 . The biggest common factor number is the GCF number.
So the greatest common factor 54,42,35,959 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 63/54, 42/42, 71/35, 84/959

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 63/54, 42/42, 71/35, 84/959?

Answer: LCM of Numerators as per given numbers 63/54, 42/42, 71/35, 84/959 is

LCM of Numerators i.e. for 63,42,71,84 is 17892

GCF of denominators i.e. for 54,42,35,959 is 1.

Thus, LCM of Fractions is 17892.Finally, LCM of Fractions for 63/54, 42/42, 71/35, 84/959 is 17892.