Least Common Multiple of 77/153, 82/663, 385/903

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 77/153, 82/663, 385/903 quickly i.e. 31570/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/153, 82/663, 385/903 is 31570/3.

LCM(77/153, 82/663, 385/903) = 31570/3

LCM of 77/153, 82/663, 385/903

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 77/153,82/663,385/903

Given numbers are 77/153,82/663,385/903

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 77,82,385

Least Common Multiple of Numerators i.e. LCM of 77,82,385 is 31570.

GCF of Denominators means GCF of 153,663,903 as per the given fractions.

GCF of 153,663,903 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,82,385

LCM of Fractions 77/153,82/663,385/903 is 31570/3

7 77, 82, 385
11 11, 82, 55
1, 82, 5

∴ So the LCM of the given numbers is 7 x 11 x 1 x 82 x 5 = 31570

Least Common Multiple of 77,82,385 with GCF Formula

Least Common Multiple of 77,82,385 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 77,82,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,82,385) = 1

common factors(in case of two or more numbers have common factors) = 77

GCF(77,82,385) x common factors =1 x 77 = 77

LCM(77,82,385) = ( 77 × 82 × 385 ) / 77

LCM(77,82,385) = 2430890 / 77

LCM(77,82,385) = 31570


Lets's calculate GCF of 153,663,903

3 153, 663, 903
51, 221, 301

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31570/3

Therefore the LCM of Fractions 77/153,82/663,385/903 is 31570/3

Greatest Common Factor of 153,663,903 By Matching Biggest Common Factor Method

Greatest Common Factor of 153,663,903 By Matching Biggest Common Factor Method

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Factors of 903

List of positive integer factors of 903 that divides 903 without a remainder.

1,3,7,21,43,129,301,903

Greatest Common Factor

We found the factors 153,663,903 . The biggest common factor number is the GCF number.
So the greatest common factor 153,663,903 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 77/153, 82/663, 385/903

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 77/153, 82/663, 385/903?

Answer: LCM of Numerators as per given numbers 77/153, 82/663, 385/903 is

LCM of Numerators i.e. for 77,82,385 is 31570

GCF of denominators i.e. for 153,663,903 is 3.

Thus, LCM of Fractions is 31570/3.Finally, LCM of Fractions for 77/153, 82/663, 385/903 is 31570/3.