Least Common Multiple of 980/170, 377/171, 381/294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 980/170, 377/171, 381/294 quickly i.e. 140764260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 980/170, 377/171, 381/294 is 140764260.

LCM(980/170, 377/171, 381/294) = 140764260

LCM of 980/170, 377/171, 381/294

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 980/170,377/171,381/294

Given numbers are 980/170,377/171,381/294

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 980,377,381

Least Common Multiple of Numerators i.e. LCM of 980,377,381 is 140764260.

GCF of Denominators means GCF of 170,171,294 as per the given fractions.

GCF of 170,171,294 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 980,377,381

LCM of Fractions 980/170,377/171,381/294 is 140764260

Given numbers has no common factors except 1. So, there LCM is their product i.e 140764260

Least Common Multiple of 980,377,381 with GCF Formula

Least Common Multiple of 980,377,381 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 980,377,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,377,381) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(980,377,381) x common factors =1 x 1 = 1

LCM(980,377,381) = ( 980 × 377 × 381 ) / 1

LCM(980,377,381) = 140764260 / 1

LCM(980,377,381) = 140764260


Lets's calculate GCF of 170,171,294

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 140764260/1

Therefore the LCM of Fractions 980/170,377/171,381/294 is 140764260

Greatest Common Factor of 170,171,294 By Matching Biggest Common Factor Method

Greatest Common Factor of 170,171,294 By Matching Biggest Common Factor Method

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Greatest Common Factor

We found the factors 170,171,294 . The biggest common factor number is the GCF number.
So the greatest common factor 170,171,294 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 980/170, 377/171, 381/294

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 980/170, 377/171, 381/294?

Answer: LCM of Numerators as per given numbers 980/170, 377/171, 381/294 is

LCM of Numerators i.e. for 980,377,381 is 140764260

GCF of denominators i.e. for 170,171,294 is 1.

Thus, LCM of Fractions is 140764260.Finally, LCM of Fractions for 980/170, 377/171, 381/294 is 140764260.