Least Common Multiple of 96/629, 36/731, 365/716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/629, 36/731, 365/716 quickly i.e. 105120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/629, 36/731, 365/716 is 105120.

LCM(96/629, 36/731, 365/716) = 105120

LCM of 96/629, 36/731, 365/716

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 96/629,36/731,365/716

Given numbers are 96/629,36/731,365/716

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 96,36,365

Least Common Multiple of Numerators i.e. LCM of 96,36,365 is 105120.

GCF of Denominators means GCF of 629,731,716 as per the given fractions.

GCF of 629,731,716 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,36,365

LCM of Fractions 96/629,36/731,365/716 is 105120

2 96, 36, 365
2 48, 18, 365
3 24, 9, 365
8, 3, 365

∴ So the LCM of the given numbers is 2 x 2 x 3 x 8 x 3 x 365 = 105120

Least Common Multiple of 96,36,365 with GCF Formula

Least Common Multiple of 96,36,365 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 96,36,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,36,365) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(96,36,365) x common factors =1 x 12 = 12

LCM(96,36,365) = ( 96 × 36 × 365 ) / 12

LCM(96,36,365) = 1261440 / 12

LCM(96,36,365) = 105120


Lets's calculate GCF of 629,731,716

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 105120/1

Therefore the LCM of Fractions 96/629,36/731,365/716 is 105120

Greatest Common Factor of 629,731,716 By Matching Biggest Common Factor Method

Greatest Common Factor of 629,731,716 By Matching Biggest Common Factor Method

Factors of 629

List of positive integer factors of 629 that divides 629 without a remainder.

1,17,37,629

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Greatest Common Factor

We found the factors 629,731,716 . The biggest common factor number is the GCF number.
So the greatest common factor 629,731,716 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 96/629, 36/731, 365/716

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 96/629, 36/731, 365/716?

Answer: LCM of Numerators as per given numbers 96/629, 36/731, 365/716 is

LCM of Numerators i.e. for 96,36,365 is 105120

GCF of denominators i.e. for 629,731,716 is 1.

Thus, LCM of Fractions is 105120.Finally, LCM of Fractions for 96/629, 36/731, 365/716 is 105120.