Least Common Multiple of 61/544, 469/304, 844/239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/544, 469/304, 844/239 quickly i.e. 24145996 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/544, 469/304, 844/239 is 24145996.

LCM(61/544, 469/304, 844/239) = 24145996

LCM of 61/544, 469/304, 844/239

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 61/544,469/304,844/239

Given numbers are 61/544,469/304,844/239

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 61,469,844

Least Common Multiple of Numerators i.e. LCM of 61,469,844 is 24145996.

GCF of Denominators means GCF of 544,304,239 as per the given fractions.

GCF of 544,304,239 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,469,844

LCM of Fractions 61/544,469/304,844/239 is 24145996

Given numbers has no common factors except 1. So, there LCM is their product i.e 24145996

Least Common Multiple of 61,469,844 with GCF Formula

Least Common Multiple of 61,469,844 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 61,469,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,469,844) = 1

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

GCF(61,469,844) x common factors =1 x 1 = 1

LCM(61,469,844) = ( 61 × 469 × 844 ) / 1

LCM(61,469,844) = 24145996 / 1

LCM(61,469,844) = 24145996


Lets's calculate GCF of 544,304,239

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24145996/1

Therefore the LCM of Fractions 61/544,469/304,844/239 is 24145996

Greatest Common Factor of 544,304,239 By Matching Biggest Common Factor Method

Greatest Common Factor of 544,304,239 By Matching Biggest Common Factor Method

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 239

List of positive integer factors of 239 that divides 239 without a remainder.

1,239

Greatest Common Factor

We found the factors 544,304,239 . The biggest common factor number is the GCF number.
So the greatest common factor 544,304,239 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 61/544, 469/304, 844/239

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 61/544, 469/304, 844/239?

Answer: LCM of Numerators as per given numbers 61/544, 469/304, 844/239 is

LCM of Numerators i.e. for 61,469,844 is 24145996

GCF of denominators i.e. for 544,304,239 is 1.

Thus, LCM of Fractions is 24145996.Finally, LCM of Fractions for 61/544, 469/304, 844/239 is 24145996.