Least Common Multiple of 798/196, 685/177, 665/938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 798/196, 685/177, 665/938 quickly i.e. 546630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 798/196, 685/177, 665/938 is 546630.

LCM(798/196, 685/177, 665/938) = 546630

LCM of 798/196, 685/177, 665/938

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 798/196,685/177,665/938

Given numbers are 798/196,685/177,665/938

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 798,685,665

Least Common Multiple of Numerators i.e. LCM of 798,685,665 is 546630.

GCF of Denominators means GCF of 196,177,938 as per the given fractions.

GCF of 196,177,938 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 798,685,665

LCM of Fractions 798/196,685/177,665/938 is 546630

5 798, 685, 665
7 798, 137, 133
19 114, 137, 19
6, 137, 1

∴ So the LCM of the given numbers is 5 x 7 x 19 x 6 x 137 x 1 = 546630

Least Common Multiple of 798,685,665 with GCF Formula

Least Common Multiple of 798,685,665 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 798,685,665 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(798,685,665) = 1

common factors(in case of two or more numbers have common factors) = 665

GCF(798,685,665) x common factors =1 x 665 = 665

LCM(798,685,665) = ( 798 × 685 × 665 ) / 665

LCM(798,685,665) = 363508950 / 665

LCM(798,685,665) = 546630


Lets's calculate GCF of 196,177,938

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 546630/1

Therefore the LCM of Fractions 798/196,685/177,665/938 is 546630

Greatest Common Factor of 196,177,938 By Matching Biggest Common Factor Method

Greatest Common Factor of 196,177,938 By Matching Biggest Common Factor Method

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Factors of 177

List of positive integer factors of 177 that divides 177 without a remainder.

1,3,59,177

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Greatest Common Factor

We found the factors 196,177,938 . The biggest common factor number is the GCF number.
So the greatest common factor 196,177,938 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 798/196, 685/177, 665/938

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 798/196, 685/177, 665/938?

Answer: LCM of Numerators as per given numbers 798/196, 685/177, 665/938 is

LCM of Numerators i.e. for 798,685,665 is 546630

GCF of denominators i.e. for 196,177,938 is 1.

Thus, LCM of Fractions is 546630.Finally, LCM of Fractions for 798/196, 685/177, 665/938 is 546630.