Least Common Multiple of 144/32, 668/79, 779/963

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 144/32, 668/79, 779/963 quickly i.e. 18733392 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 144/32, 668/79, 779/963 is 18733392.

LCM(144/32, 668/79, 779/963) = 18733392

LCM of 144/32, 668/79, 779/963

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 144/32,668/79,779/963

Given numbers are 144/32,668/79,779/963

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 144,668,779

Least Common Multiple of Numerators i.e. LCM of 144,668,779 is 18733392.

GCF of Denominators means GCF of 32,79,963 as per the given fractions.

GCF of 32,79,963 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 144,668,779

LCM of Fractions 144/32,668/79,779/963 is 18733392

2 144, 668, 779
2 72, 334, 779
36, 167, 779

∴ So the LCM of the given numbers is 2 x 2 x 36 x 167 x 779 = 18733392

Least Common Multiple of 144,668,779 with GCF Formula

Least Common Multiple of 144,668,779 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 144,668,779 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,668,779) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(144,668,779) x common factors =1 x 4 = 4

LCM(144,668,779) = ( 144 × 668 × 779 ) / 4

LCM(144,668,779) = 74933568 / 4

LCM(144,668,779) = 18733392


Lets's calculate GCF of 32,79,963

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18733392/1

Therefore the LCM of Fractions 144/32,668/79,779/963 is 18733392

Greatest Common Factor of 32,79,963 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,79,963 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 963

List of positive integer factors of 963 that divides 963 without a remainder.

1,3,9,107,321,963

Greatest Common Factor

We found the factors 32,79,963 . The biggest common factor number is the GCF number.
So the greatest common factor 32,79,963 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 144/32, 668/79, 779/963

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 144/32, 668/79, 779/963?

Answer: LCM of Numerators as per given numbers 144/32, 668/79, 779/963 is

LCM of Numerators i.e. for 144,668,779 is 18733392

GCF of denominators i.e. for 32,79,963 is 1.

Thus, LCM of Fractions is 18733392.Finally, LCM of Fractions for 144/32, 668/79, 779/963 is 18733392.