Least Common Multiple of 71/170, 858/114, 398/541

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/170, 858/114, 398/541 quickly i.e. 12122682 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/170, 858/114, 398/541 is 12122682.

LCM(71/170, 858/114, 398/541) = 12122682

LCM of 71/170, 858/114, 398/541

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 71/170,858/114,398/541

Given numbers are 71/170,858/114,398/541

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 71,858,398

Least Common Multiple of Numerators i.e. LCM of 71,858,398 is 12122682.

GCF of Denominators means GCF of 170,114,541 as per the given fractions.

GCF of 170,114,541 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,858,398

LCM of Fractions 71/170,858/114,398/541 is 12122682

2 71, 858, 398
71, 429, 199

∴ So the LCM of the given numbers is 2 x 71 x 429 x 199 = 12122682

Least Common Multiple of 71,858,398 with GCF Formula

Least Common Multiple of 71,858,398 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 71,858,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,858,398) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(71,858,398) x common factors =1 x 2 = 2

LCM(71,858,398) = ( 71 × 858 × 398 ) / 2

LCM(71,858,398) = 24245364 / 2

LCM(71,858,398) = 12122682


Lets's calculate GCF of 170,114,541

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12122682/1

Therefore the LCM of Fractions 71/170,858/114,398/541 is 12122682

Greatest Common Factor of 170,114,541 By Matching Biggest Common Factor Method

Greatest Common Factor of 170,114,541 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 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Factors of 541

List of positive integer factors of 541 that divides 541 without a remainder.

1,541

Greatest Common Factor

We found the factors 170,114,541 . The biggest common factor number is the GCF number.
So the greatest common factor 170,114,541 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 71/170, 858/114, 398/541

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 71/170, 858/114, 398/541?

Answer: LCM of Numerators as per given numbers 71/170, 858/114, 398/541 is

LCM of Numerators i.e. for 71,858,398 is 12122682

GCF of denominators i.e. for 170,114,541 is 1.

Thus, LCM of Fractions is 12122682.Finally, LCM of Fractions for 71/170, 858/114, 398/541 is 12122682.