Least Common Multiple of 80/54, 28/76, 291/603

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 80/54, 28/76, 291/603 quickly i.e. 162960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/54, 28/76, 291/603 is 162960.

LCM(80/54, 28/76, 291/603) = 162960

LCM of 80/54, 28/76, 291/603

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 80/54,28/76,291/603

Given numbers are 80/54,28/76,291/603

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 80,28,291

Least Common Multiple of Numerators i.e. LCM of 80,28,291 is 162960.

GCF of Denominators means GCF of 54,76,603 as per the given fractions.

GCF of 54,76,603 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,28,291

LCM of Fractions 80/54,28/76,291/603 is 162960

2 80, 28, 291
2 40, 14, 291
20, 7, 291

∴ So the LCM of the given numbers is 2 x 2 x 20 x 7 x 291 = 162960

Least Common Multiple of 80,28,291 with GCF Formula

Least Common Multiple of 80,28,291 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 80,28,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,28,291) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(80,28,291) x common factors =1 x 4 = 4

LCM(80,28,291) = ( 80 × 28 × 291 ) / 4

LCM(80,28,291) = 651840 / 4

LCM(80,28,291) = 162960


Lets's calculate GCF of 54,76,603

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 162960/1

Therefore the LCM of Fractions 80/54,28/76,291/603 is 162960

Greatest Common Factor of 54,76,603 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,76,603 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 603

List of positive integer factors of 603 that divides 603 without a remainder.

1,3,9,67,201,603

Greatest Common Factor

We found the factors 54,76,603 . The biggest common factor number is the GCF number.
So the greatest common factor 54,76,603 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 80/54, 28/76, 291/603

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 80/54, 28/76, 291/603?

Answer: LCM of Numerators as per given numbers 80/54, 28/76, 291/603 is

LCM of Numerators i.e. for 80,28,291 is 162960

GCF of denominators i.e. for 54,76,603 is 1.

Thus, LCM of Fractions is 162960.Finally, LCM of Fractions for 80/54, 28/76, 291/603 is 162960.