Least Common Multiple of 963/194, 687/736, 120/729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 963/194, 687/736, 120/729 quickly i.e. 8821080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 963/194, 687/736, 120/729 is 8821080.

LCM(963/194, 687/736, 120/729) = 8821080

LCM of 963/194, 687/736, 120/729

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 963/194,687/736,120/729

Given numbers are 963/194,687/736,120/729

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 963,687,120

Least Common Multiple of Numerators i.e. LCM of 963,687,120 is 8821080.

GCF of Denominators means GCF of 194,736,729 as per the given fractions.

GCF of 194,736,729 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 963,687,120

LCM of Fractions 963/194,687/736,120/729 is 8821080

3 963, 687, 120
321, 229, 40

∴ So the LCM of the given numbers is 3 x 321 x 229 x 40 = 8821080

Least Common Multiple of 963,687,120 with GCF Formula

Least Common Multiple of 963,687,120 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 963,687,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(963,687,120) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(963,687,120) x common factors =3 x 3 = 9

LCM(963,687,120) = ( 963 × 687 × 120 ) / 9

LCM(963,687,120) = 79389720 / 9

LCM(963,687,120) = 8821080


Lets's calculate GCF of 194,736,729

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8821080/1

Therefore the LCM of Fractions 963/194,687/736,120/729 is 8821080

Greatest Common Factor of 194,736,729 By Matching Biggest Common Factor Method

Greatest Common Factor of 194,736,729 By Matching Biggest Common Factor Method

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Greatest Common Factor

We found the factors 194,736,729 . The biggest common factor number is the GCF number.
So the greatest common factor 194,736,729 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 963/194, 687/736, 120/729

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 963/194, 687/736, 120/729?

Answer: LCM of Numerators as per given numbers 963/194, 687/736, 120/729 is

LCM of Numerators i.e. for 963,687,120 is 8821080

GCF of denominators i.e. for 194,736,729 is 1.

Thus, LCM of Fractions is 8821080.Finally, LCM of Fractions for 963/194, 687/736, 120/729 is 8821080.