Least Common Multiple of 933/317, 198/796, 649/752

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 933/317, 198/796, 649/752 quickly i.e. 3633102 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 933/317, 198/796, 649/752 is 3633102.

LCM(933/317, 198/796, 649/752) = 3633102

LCM of 933/317, 198/796, 649/752

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 933/317,198/796,649/752

Given numbers are 933/317,198/796,649/752

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 933,198,649

Least Common Multiple of Numerators i.e. LCM of 933,198,649 is 3633102.

GCF of Denominators means GCF of 317,796,752 as per the given fractions.

GCF of 317,796,752 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 933,198,649

LCM of Fractions 933/317,198/796,649/752 is 3633102

3 933, 198, 649
11 311, 66, 649
311, 6, 59

∴ So the LCM of the given numbers is 3 x 11 x 311 x 6 x 59 = 3633102

Least Common Multiple of 933,198,649 with GCF Formula

Least Common Multiple of 933,198,649 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 933,198,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(933,198,649) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(933,198,649) x common factors =1 x 33 = 33

LCM(933,198,649) = ( 933 × 198 × 649 ) / 33

LCM(933,198,649) = 119892366 / 33

LCM(933,198,649) = 3633102


Lets's calculate GCF of 317,796,752

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3633102/1

Therefore the LCM of Fractions 933/317,198/796,649/752 is 3633102

Greatest Common Factor of 317,796,752 By Matching Biggest Common Factor Method

Greatest Common Factor of 317,796,752 By Matching Biggest Common Factor Method

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Greatest Common Factor

We found the factors 317,796,752 . The biggest common factor number is the GCF number.
So the greatest common factor 317,796,752 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 933/317, 198/796, 649/752

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 933/317, 198/796, 649/752?

Answer: LCM of Numerators as per given numbers 933/317, 198/796, 649/752 is

LCM of Numerators i.e. for 933,198,649 is 3633102

GCF of denominators i.e. for 317,796,752 is 1.

Thus, LCM of Fractions is 3633102.Finally, LCM of Fractions for 933/317, 198/796, 649/752 is 3633102.