Least Common Multiple of 546/77, 969/3541

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 546/77, 969/3541 quickly i.e. 176358 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 546/77, 969/3541 is 176358.

LCM(546/77, 969/3541) = 176358

LCM of 546/77, 969/3541

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 546/77,969/3541

Given numbers are 546/77,969/3541

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 546,969

Least Common Multiple of Numerators i.e. LCM of 546,969 is 176358.

GCF of Denominators means GCF of 77,3541 as per the given fractions.

GCF of 77,3541 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 546,969

LCM of Fractions 546/77,969/3541 is 176358

3 546, 969
182, 323

∴ So the LCM of the given numbers is 3 x 182 x 323 = 176358

Least Common Multiple of 546,969 with GCF Formula

Least Common Multiple of 546,969 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 546,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(546,969) = 3

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

GCF(546,969) x common factors =3 x 1 = 3

LCM(546,969) = ( 546 × 969 ) / 3

LCM(546,969) = 529074 / 3

LCM(546,969) = 176358


Lets's calculate GCF of 77,3541

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 176358/1

Therefore the LCM of Fractions 546/77,969/3541 is 176358

Greatest Common Factor of 77,3541 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,3541 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 3541

List of positive integer factors of 3541 that divides 3541 without a remainder.

1,3541

Greatest Common Factor

We found the factors 77,3541 . The biggest common factor number is the GCF number.
So the greatest common factor 77,3541 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 546/77, 969/3541

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 546/77, 969/3541?

Answer: LCM of Numerators as per given numbers 546/77, 969/3541 is

LCM of Numerators i.e. for 546,969 is 176358

GCF of denominators i.e. for 77,3541 is 1.

Thus, LCM of Fractions is 176358.Finally, LCM of Fractions for 546/77, 969/3541 is 176358.