Least Common Multiple of 98/495, 66/680, 171/331

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/495, 66/680, 171/331 quickly i.e. 184338 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/495, 66/680, 171/331 is 184338.

LCM(98/495, 66/680, 171/331) = 184338

LCM of 98/495, 66/680, 171/331

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 98/495,66/680,171/331

Given numbers are 98/495,66/680,171/331

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 98,66,171

Least Common Multiple of Numerators i.e. LCM of 98,66,171 is 184338.

GCF of Denominators means GCF of 495,680,331 as per the given fractions.

GCF of 495,680,331 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,66,171

LCM of Fractions 98/495,66/680,171/331 is 184338

2 98, 66, 171
3 49, 33, 171
49, 11, 57

∴ So the LCM of the given numbers is 2 x 3 x 49 x 11 x 57 = 184338

Least Common Multiple of 98,66,171 with GCF Formula

Least Common Multiple of 98,66,171 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 98,66,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,66,171) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(98,66,171) x common factors =1 x 6 = 6

LCM(98,66,171) = ( 98 × 66 × 171 ) / 6

LCM(98,66,171) = 1106028 / 6

LCM(98,66,171) = 184338


Lets's calculate GCF of 495,680,331

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 184338/1

Therefore the LCM of Fractions 98/495,66/680,171/331 is 184338

Greatest Common Factor of 495,680,331 By Matching Biggest Common Factor Method

Greatest Common Factor of 495,680,331 By Matching Biggest Common Factor Method

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Factors of 331

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

1,331

Greatest Common Factor

We found the factors 495,680,331 . The biggest common factor number is the GCF number.
So the greatest common factor 495,680,331 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 98/495, 66/680, 171/331

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 98/495, 66/680, 171/331?

Answer: LCM of Numerators as per given numbers 98/495, 66/680, 171/331 is

LCM of Numerators i.e. for 98,66,171 is 184338

GCF of denominators i.e. for 495,680,331 is 1.

Thus, LCM of Fractions is 184338.Finally, LCM of Fractions for 98/495, 66/680, 171/331 is 184338.