Least Common Multiple of 40/794, 98/284, 264/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/794, 98/284, 264/198 quickly i.e. 32340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/794, 98/284, 264/198 is 32340.

LCM(40/794, 98/284, 264/198) = 32340

LCM of 40/794, 98/284, 264/198

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 40/794,98/284,264/198

Given numbers are 40/794,98/284,264/198

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 40,98,264

Least Common Multiple of Numerators i.e. LCM of 40,98,264 is 64680.

GCF of Denominators means GCF of 794,284,198 as per the given fractions.

GCF of 794,284,198 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,98,264

LCM of Fractions 40/794,98/284,264/198 is 32340

2 40, 98, 264
2 20, 49, 132
2 10, 49, 66
5, 49, 33

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 49 x 33 = 64680

Least Common Multiple of 40,98,264 with GCF Formula

Least Common Multiple of 40,98,264 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 40,98,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,98,264) = 2

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

GCF(40,98,264) x common factors =2 x 8 = 16

LCM(40,98,264) = ( 40 × 98 × 264 ) / 16

LCM(40,98,264) = 1034880 / 16

LCM(40,98,264) = 64680


Lets's calculate GCF of 794,284,198

2 794, 284, 198
397, 142, 99

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64680/2

Therefore the LCM of Fractions 40/794,98/284,264/198 is 32340

Greatest Common Factor of 794,284,198 By Matching Biggest Common Factor Method

Greatest Common Factor of 794,284,198 By Matching Biggest Common Factor Method

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

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

Greatest Common Factor

We found the factors 794,284,198 . The biggest common factor number is the GCF number.
So the greatest common factor 794,284,198 is 2.


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 40/794, 98/284, 264/198

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 40/794, 98/284, 264/198?

Answer: LCM of Numerators as per given numbers 40/794, 98/284, 264/198 is

LCM of Numerators i.e. for 40,98,264 is 64680

GCF of denominators i.e. for 794,284,198 is 2.

Thus, LCM of Fractions is 32340.Finally, LCM of Fractions for 40/794, 98/284, 264/198 is 32340.