Least Common Multiple of 44/598, 741/331, 884/315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/598, 741/331, 884/315 quickly i.e. 554268 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/598, 741/331, 884/315 is 554268.

LCM(44/598, 741/331, 884/315) = 554268

LCM of 44/598, 741/331, 884/315

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 44/598,741/331,884/315

Given numbers are 44/598,741/331,884/315

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 44,741,884

Least Common Multiple of Numerators i.e. LCM of 44,741,884 is 554268.

GCF of Denominators means GCF of 598,331,315 as per the given fractions.

GCF of 598,331,315 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,741,884

LCM of Fractions 44/598,741/331,884/315 is 554268

2 44, 741, 884
2 22, 741, 442
13 11, 741, 221
11, 57, 17

∴ So the LCM of the given numbers is 2 x 2 x 13 x 11 x 57 x 17 = 554268

Least Common Multiple of 44,741,884 with GCF Formula

Least Common Multiple of 44,741,884 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 44,741,884 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,741,884) = 1

common factors(in case of two or more numbers have common factors) = 52

GCF(44,741,884) x common factors =1 x 52 = 52

LCM(44,741,884) = ( 44 × 741 × 884 ) / 52

LCM(44,741,884) = 28821936 / 52

LCM(44,741,884) = 554268


Lets's calculate GCF of 598,331,315

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 554268/1

Therefore the LCM of Fractions 44/598,741/331,884/315 is 554268

Greatest Common Factor of 598,331,315 By Matching Biggest Common Factor Method

Greatest Common Factor of 598,331,315 By Matching Biggest Common Factor Method

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1,331

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Greatest Common Factor

We found the factors 598,331,315 . The biggest common factor number is the GCF number.
So the greatest common factor 598,331,315 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 44/598, 741/331, 884/315

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 44/598, 741/331, 884/315?

Answer: LCM of Numerators as per given numbers 44/598, 741/331, 884/315 is

LCM of Numerators i.e. for 44,741,884 is 554268

GCF of denominators i.e. for 598,331,315 is 1.

Thus, LCM of Fractions is 554268.Finally, LCM of Fractions for 44/598, 741/331, 884/315 is 554268.