Least Common Multiple of 80/897, 442/152, 543/267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/897, 442/152, 543/267 quickly i.e. 9600240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/897, 442/152, 543/267 is 9600240.

LCM(80/897, 442/152, 543/267) = 9600240

LCM of 80/897, 442/152, 543/267

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 80/897,442/152,543/267

Given numbers are 80/897,442/152,543/267

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 80,442,543

Least Common Multiple of Numerators i.e. LCM of 80,442,543 is 9600240.

GCF of Denominators means GCF of 897,152,267 as per the given fractions.

GCF of 897,152,267 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,442,543

LCM of Fractions 80/897,442/152,543/267 is 9600240

2 80, 442, 543
40, 221, 543

∴ So the LCM of the given numbers is 2 x 40 x 221 x 543 = 9600240

Least Common Multiple of 80,442,543 with GCF Formula

Least Common Multiple of 80,442,543 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 80,442,543 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,442,543) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(80,442,543) x common factors =1 x 2 = 2

LCM(80,442,543) = ( 80 × 442 × 543 ) / 2

LCM(80,442,543) = 19200480 / 2

LCM(80,442,543) = 9600240


Lets's calculate GCF of 897,152,267

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9600240/1

Therefore the LCM of Fractions 80/897,442/152,543/267 is 9600240

Greatest Common Factor of 897,152,267 By Matching Biggest Common Factor Method

Greatest Common Factor of 897,152,267 By Matching Biggest Common Factor Method

Factors of 897

List of positive integer factors of 897 that divides 897 without a remainder.

1,3,13,23,39,69,299,897

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Greatest Common Factor

We found the factors 897,152,267 . The biggest common factor number is the GCF number.
So the greatest common factor 897,152,267 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 80/897, 442/152, 543/267

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 80/897, 442/152, 543/267?

Answer: LCM of Numerators as per given numbers 80/897, 442/152, 543/267 is

LCM of Numerators i.e. for 80,442,543 is 9600240

GCF of denominators i.e. for 897,152,267 is 1.

Thus, LCM of Fractions is 9600240.Finally, LCM of Fractions for 80/897, 442/152, 543/267 is 9600240.