Least Common Multiple of 561/849, 472/435

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 561/849, 472/435 quickly i.e. 88264 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 561/849, 472/435 is 88264.

LCM(561/849, 472/435) = 88264

LCM of 561/849, 472/435

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 561/849,472/435

Given numbers are 561/849,472/435

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 561,472

Least Common Multiple of Numerators i.e. LCM of 561,472 is 264792.

GCF of Denominators means GCF of 849,435 as per the given fractions.

GCF of 849,435 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 561,472

LCM of Fractions 561/849,472/435 is 88264

Given numbers has no common factors except 1. So, there LCM is their product i.e 264792

Least Common Multiple of 561,472 with GCF Formula

Least Common Multiple of 561,472 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 561,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(561,472) = 1

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

GCF(561,472) x common factors =1 x 1 = 1

LCM(561,472) = ( 561 × 472 ) / 1

LCM(561,472) = 264792 / 1

LCM(561,472) = 264792


Lets's calculate GCF of 849,435

3 849, 435
283, 145

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 264792/3

Therefore the LCM of Fractions 561/849,472/435 is 88264

Greatest Common Factor of 849,435 By Matching Biggest Common Factor Method

Greatest Common Factor of 849,435 By Matching Biggest Common Factor Method

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Greatest Common Factor

We found the factors 849,435 . The biggest common factor number is the GCF number.
So the greatest common factor 849,435 is 3.


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 561/849, 472/435

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 561/849, 472/435?

Answer: LCM of Numerators as per given numbers 561/849, 472/435 is

LCM of Numerators i.e. for 561,472 is 264792

GCF of denominators i.e. for 849,435 is 3.

Thus, LCM of Fractions is 88264.Finally, LCM of Fractions for 561/849, 472/435 is 88264.