Least Common Multiple of 84/543, 137/549, 675/772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/543, 137/549, 675/772 quickly i.e. 2589300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/543, 137/549, 675/772 is 2589300.

LCM(84/543, 137/549, 675/772) = 2589300

LCM of 84/543, 137/549, 675/772

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 84/543,137/549,675/772

Given numbers are 84/543,137/549,675/772

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 84,137,675

Least Common Multiple of Numerators i.e. LCM of 84,137,675 is 2589300.

GCF of Denominators means GCF of 543,549,772 as per the given fractions.

GCF of 543,549,772 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,137,675

LCM of Fractions 84/543,137/549,675/772 is 2589300

3 84, 137, 675
28, 137, 225

∴ So the LCM of the given numbers is 3 x 28 x 137 x 225 = 2589300

Least Common Multiple of 84,137,675 with GCF Formula

Least Common Multiple of 84,137,675 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 84,137,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,137,675) = 1

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

GCF(84,137,675) x common factors =1 x 3 = 3

LCM(84,137,675) = ( 84 × 137 × 675 ) / 3

LCM(84,137,675) = 7767900 / 3

LCM(84,137,675) = 2589300


Lets's calculate GCF of 543,549,772

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2589300/1

Therefore the LCM of Fractions 84/543,137/549,675/772 is 2589300

Greatest Common Factor of 543,549,772 By Matching Biggest Common Factor Method

Greatest Common Factor of 543,549,772 By Matching Biggest Common Factor Method

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Greatest Common Factor

We found the factors 543,549,772 . The biggest common factor number is the GCF number.
So the greatest common factor 543,549,772 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 84/543, 137/549, 675/772

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 84/543, 137/549, 675/772?

Answer: LCM of Numerators as per given numbers 84/543, 137/549, 675/772 is

LCM of Numerators i.e. for 84,137,675 is 2589300

GCF of denominators i.e. for 543,549,772 is 1.

Thus, LCM of Fractions is 2589300.Finally, LCM of Fractions for 84/543, 137/549, 675/772 is 2589300.