Least Common Multiple of 285/77, 6744/547

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 285/77, 6744/547 quickly i.e. 640680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 285/77, 6744/547 is 640680.

LCM(285/77, 6744/547) = 640680

LCM of 285/77, 6744/547

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 285/77,6744/547

Given numbers are 285/77,6744/547

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 285,6744

Least Common Multiple of Numerators i.e. LCM of 285,6744 is 640680.

GCF of Denominators means GCF of 77,547 as per the given fractions.

GCF of 77,547 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 285,6744

LCM of Fractions 285/77,6744/547 is 640680

3 285, 6744
95, 2248

∴ So the LCM of the given numbers is 3 x 95 x 2248 = 640680

Least Common Multiple of 285,6744 with GCF Formula

Least Common Multiple of 285,6744 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 285,6744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(285,6744) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(285,6744) x common factors =3 x 1 = 3

LCM(285,6744) = ( 285 × 6744 ) / 3

LCM(285,6744) = 1922040 / 3

LCM(285,6744) = 640680


Lets's calculate GCF of 77,547

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 640680/1

Therefore the LCM of Fractions 285/77,6744/547 is 640680

Greatest Common Factor of 77,547 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,547 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 547

List of positive integer factors of 547 that divides 547 without a remainder.

1,547

Greatest Common Factor

We found the factors 77,547 . The biggest common factor number is the GCF number.
So the greatest common factor 77,547 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 285/77, 6744/547

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 285/77, 6744/547?

Answer: LCM of Numerators as per given numbers 285/77, 6744/547 is

LCM of Numerators i.e. for 285,6744 is 640680

GCF of denominators i.e. for 77,547 is 1.

Thus, LCM of Fractions is 640680.Finally, LCM of Fractions for 285/77, 6744/547 is 640680.