Least Common Multiple of 153/334, 180/382, 277/903

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 153/334, 180/382, 277/903 quickly i.e. 847620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 153/334, 180/382, 277/903 is 847620.

LCM(153/334, 180/382, 277/903) = 847620

LCM of 153/334, 180/382, 277/903

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 153/334,180/382,277/903

Given numbers are 153/334,180/382,277/903

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 153,180,277

Least Common Multiple of Numerators i.e. LCM of 153,180,277 is 847620.

GCF of Denominators means GCF of 334,382,903 as per the given fractions.

GCF of 334,382,903 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 153,180,277

LCM of Fractions 153/334,180/382,277/903 is 847620

3 153, 180, 277
3 51, 60, 277
17, 20, 277

∴ So the LCM of the given numbers is 3 x 3 x 17 x 20 x 277 = 847620

Least Common Multiple of 153,180,277 with GCF Formula

Least Common Multiple of 153,180,277 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 153,180,277 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(153,180,277) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(153,180,277) x common factors =1 x 9 = 9

LCM(153,180,277) = ( 153 × 180 × 277 ) / 9

LCM(153,180,277) = 7628580 / 9

LCM(153,180,277) = 847620


Lets's calculate GCF of 334,382,903

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 847620/1

Therefore the LCM of Fractions 153/334,180/382,277/903 is 847620

Greatest Common Factor of 334,382,903 By Matching Biggest Common Factor Method

Greatest Common Factor of 334,382,903 By Matching Biggest Common Factor Method

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

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 334,382,903 . The biggest common factor number is the GCF number.
So the greatest common factor 334,382,903 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 153/334, 180/382, 277/903

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 153/334, 180/382, 277/903?

Answer: LCM of Numerators as per given numbers 153/334, 180/382, 277/903 is

LCM of Numerators i.e. for 153,180,277 is 847620

GCF of denominators i.e. for 334,382,903 is 1.

Thus, LCM of Fractions is 847620.Finally, LCM of Fractions for 153/334, 180/382, 277/903 is 847620.