Least Common Multiple of 63/1, 4/5, 6/96

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 63/1, 4/5, 6/96 quickly i.e. 252 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 63/1, 4/5, 6/96 is 252.

LCM(63/1, 4/5, 6/96) = 252

LCM of 63/1, 4/5, 6/96

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 63/1,4/5,6/96

Given numbers are 63/1,4/5,6/96

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 63,4,6

Least Common Multiple of Numerators i.e. LCM of 63,4,6 is 252.

GCF of Denominators means GCF of 1,5,96 as per the given fractions.

GCF of 1,5,96 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 63,4,6

LCM of Fractions 63/1,4/5,6/96 is 252

2 63, 4, 6
3 63, 2, 3
21, 2, 1

∴ So the LCM of the given numbers is 2 x 3 x 21 x 2 x 1 = 252

Least Common Multiple of 63,4,6 with GCF Formula

Least Common Multiple of 63,4,6 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 63,4,6 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,4,6) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(63,4,6) x common factors =1 x 6 = 6

LCM(63,4,6) = ( 63 × 4 × 6 ) / 6

LCM(63,4,6) = 1512 / 6

LCM(63,4,6) = 252


Lets's calculate GCF of 1,5,96

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 252/1

Therefore the LCM of Fractions 63/1,4/5,6/96 is 252

Greatest Common Factor of 1,5,96 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,5,96 By Matching Biggest Common Factor Method

Factors of 1

List of positive integer factors of 1 that divides 1 without a remainder.

1

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1,5

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Greatest Common Factor

We found the factors 1,5,96 . The biggest common factor number is the GCF number.
So the greatest common factor 1,5,96 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 63/1, 4/5, 6/96

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 63/1, 4/5, 6/96?

Answer: LCM of Numerators as per given numbers 63/1, 4/5, 6/96 is

LCM of Numerators i.e. for 63,4,6 is 252

GCF of denominators i.e. for 1,5,96 is 1.

Thus, LCM of Fractions is 252.Finally, LCM of Fractions for 63/1, 4/5, 6/96 is 252.