Least Common Multiple of 963/40, 729/99, 782/668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 963/40, 729/99, 782/668 quickly i.e. 60998346 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 963/40, 729/99, 782/668 is 60998346.

LCM(963/40, 729/99, 782/668) = 60998346

LCM of 963/40, 729/99, 782/668

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 963/40,729/99,782/668

Given numbers are 963/40,729/99,782/668

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 963,729,782

Least Common Multiple of Numerators i.e. LCM of 963,729,782 is 60998346.

GCF of Denominators means GCF of 40,99,668 as per the given fractions.

GCF of 40,99,668 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 963,729,782

LCM of Fractions 963/40,729/99,782/668 is 60998346

3 963, 729, 782
3 321, 243, 782
107, 81, 782

∴ So the LCM of the given numbers is 3 x 3 x 107 x 81 x 782 = 60998346

Least Common Multiple of 963,729,782 with GCF Formula

Least Common Multiple of 963,729,782 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 963,729,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(963,729,782) = 1

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

GCF(963,729,782) x common factors =1 x 9 = 9

LCM(963,729,782) = ( 963 × 729 × 782 ) / 9

LCM(963,729,782) = 548985114 / 9

LCM(963,729,782) = 60998346


Lets's calculate GCF of 40,99,668

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60998346/1

Therefore the LCM of Fractions 963/40,729/99,782/668 is 60998346

Greatest Common Factor of 40,99,668 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,99,668 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 668

List of positive integer factors of 668 that divides 668 without a remainder.

1,2,4,167,334,668

Greatest Common Factor

We found the factors 40,99,668 . The biggest common factor number is the GCF number.
So the greatest common factor 40,99,668 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 963/40, 729/99, 782/668

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 963/40, 729/99, 782/668?

Answer: LCM of Numerators as per given numbers 963/40, 729/99, 782/668 is

LCM of Numerators i.e. for 963,729,782 is 60998346

GCF of denominators i.e. for 40,99,668 is 1.

Thus, LCM of Fractions is 60998346.Finally, LCM of Fractions for 963/40, 729/99, 782/668 is 60998346.