Least Common Multiple of 961/605, 549/543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 961/605, 549/543 quickly i.e. 527589 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 961/605, 549/543 is 527589.

LCM(961/605, 549/543) = 527589

LCM of 961/605, 549/543

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 961/605,549/543

Given numbers are 961/605,549/543

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 961,549

Least Common Multiple of Numerators i.e. LCM of 961,549 is 527589.

GCF of Denominators means GCF of 605,543 as per the given fractions.

GCF of 605,543 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 961,549

LCM of Fractions 961/605,549/543 is 527589

Given numbers has no common factors except 1. So, there LCM is their product i.e 527589

Least Common Multiple of 961,549 with GCF Formula

Least Common Multiple of 961,549 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 961,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(961,549) = 1

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

GCF(961,549) x common factors =1 x 1 = 1

LCM(961,549) = ( 961 × 549 ) / 1

LCM(961,549) = 527589 / 1

LCM(961,549) = 527589


Lets's calculate GCF of 605,543

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 527589/1

Therefore the LCM of Fractions 961/605,549/543 is 527589

Greatest Common Factor of 605,543 By Matching Biggest Common Factor Method

Greatest Common Factor of 605,543 By Matching Biggest Common Factor Method

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Factors of 543

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

1,3,181,543

Greatest Common Factor

We found the factors 605,543 . The biggest common factor number is the GCF number.
So the greatest common factor 605,543 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 961/605, 549/543

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 961/605, 549/543?

Answer: LCM of Numerators as per given numbers 961/605, 549/543 is

LCM of Numerators i.e. for 961,549 is 527589

GCF of denominators i.e. for 605,543 is 1.

Thus, LCM of Fractions is 527589.Finally, LCM of Fractions for 961/605, 549/543 is 527589.