Least Common Multiple of 41/488, 920/198, 936/359

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/488, 920/198, 936/359 quickly i.e. 4413240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/488, 920/198, 936/359 is 4413240.

LCM(41/488, 920/198, 936/359) = 4413240

LCM of 41/488, 920/198, 936/359

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 41/488,920/198,936/359

Given numbers are 41/488,920/198,936/359

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 41,920,936

Least Common Multiple of Numerators i.e. LCM of 41,920,936 is 4413240.

GCF of Denominators means GCF of 488,198,359 as per the given fractions.

GCF of 488,198,359 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,920,936

LCM of Fractions 41/488,920/198,936/359 is 4413240

2 41, 920, 936
2 41, 460, 468
2 41, 230, 234
41, 115, 117

∴ So the LCM of the given numbers is 2 x 2 x 2 x 41 x 115 x 117 = 4413240

Least Common Multiple of 41,920,936 with GCF Formula

Least Common Multiple of 41,920,936 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 41,920,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,920,936) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(41,920,936) x common factors =1 x 8 = 8

LCM(41,920,936) = ( 41 × 920 × 936 ) / 8

LCM(41,920,936) = 35305920 / 8

LCM(41,920,936) = 4413240


Lets's calculate GCF of 488,198,359

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4413240/1

Therefore the LCM of Fractions 41/488,920/198,936/359 is 4413240

Greatest Common Factor of 488,198,359 By Matching Biggest Common Factor Method

Greatest Common Factor of 488,198,359 By Matching Biggest Common Factor Method

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Greatest Common Factor

We found the factors 488,198,359 . The biggest common factor number is the GCF number.
So the greatest common factor 488,198,359 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 41/488, 920/198, 936/359

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 41/488, 920/198, 936/359?

Answer: LCM of Numerators as per given numbers 41/488, 920/198, 936/359 is

LCM of Numerators i.e. for 41,920,936 is 4413240

GCF of denominators i.e. for 488,198,359 is 1.

Thus, LCM of Fractions is 4413240.Finally, LCM of Fractions for 41/488, 920/198, 936/359 is 4413240.