Least Common Multiple of 75/979, 252/155, 993/683

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/979, 252/155, 993/683 quickly i.e. 2085300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/979, 252/155, 993/683 is 2085300.

LCM(75/979, 252/155, 993/683) = 2085300

LCM of 75/979, 252/155, 993/683

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 75/979,252/155,993/683

Given numbers are 75/979,252/155,993/683

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 75,252,993

Least Common Multiple of Numerators i.e. LCM of 75,252,993 is 2085300.

GCF of Denominators means GCF of 979,155,683 as per the given fractions.

GCF of 979,155,683 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,252,993

LCM of Fractions 75/979,252/155,993/683 is 2085300

3 75, 252, 993
25, 84, 331

∴ So the LCM of the given numbers is 3 x 25 x 84 x 331 = 2085300

Least Common Multiple of 75,252,993 with GCF Formula

Least Common Multiple of 75,252,993 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 75,252,993 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,252,993) = 3

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

GCF(75,252,993) x common factors =3 x 3 = 9

LCM(75,252,993) = ( 75 × 252 × 993 ) / 9

LCM(75,252,993) = 18767700 / 9

LCM(75,252,993) = 2085300


Lets's calculate GCF of 979,155,683

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2085300/1

Therefore the LCM of Fractions 75/979,252/155,993/683 is 2085300

Greatest Common Factor of 979,155,683 By Matching Biggest Common Factor Method

Greatest Common Factor of 979,155,683 By Matching Biggest Common Factor Method

Factors of 979

List of positive integer factors of 979 that divides 979 without a remainder.

1,11,89,979

Factors of 155

List of positive integer factors of 155 that divides 155 without a remainder.

1,5,31,155

Factors of 683

List of positive integer factors of 683 that divides 683 without a remainder.

1,683

Greatest Common Factor

We found the factors 979,155,683 . The biggest common factor number is the GCF number.
So the greatest common factor 979,155,683 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 75/979, 252/155, 993/683

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 75/979, 252/155, 993/683?

Answer: LCM of Numerators as per given numbers 75/979, 252/155, 993/683 is

LCM of Numerators i.e. for 75,252,993 is 2085300

GCF of denominators i.e. for 979,155,683 is 1.

Thus, LCM of Fractions is 2085300.Finally, LCM of Fractions for 75/979, 252/155, 993/683 is 2085300.