Least Common Multiple of 71/89, 999/62, 642/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/89, 999/62, 642/342 quickly i.e. 15178806 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/89, 999/62, 642/342 is 15178806.

LCM(71/89, 999/62, 642/342) = 15178806

LCM of 71/89, 999/62, 642/342

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 71/89,999/62,642/342

Given numbers are 71/89,999/62,642/342

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 71,999,642

Least Common Multiple of Numerators i.e. LCM of 71,999,642 is 15178806.

GCF of Denominators means GCF of 89,62,342 as per the given fractions.

GCF of 89,62,342 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,999,642

LCM of Fractions 71/89,999/62,642/342 is 15178806

3 71, 999, 642
71, 333, 214

∴ So the LCM of the given numbers is 3 x 71 x 333 x 214 = 15178806

Least Common Multiple of 71,999,642 with GCF Formula

Least Common Multiple of 71,999,642 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 71,999,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,999,642) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(71,999,642) x common factors =1 x 3 = 3

LCM(71,999,642) = ( 71 × 999 × 642 ) / 3

LCM(71,999,642) = 45536418 / 3

LCM(71,999,642) = 15178806


Lets's calculate GCF of 89,62,342

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15178806/1

Therefore the LCM of Fractions 71/89,999/62,642/342 is 15178806

Greatest Common Factor of 89,62,342 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,62,342 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Greatest Common Factor

We found the factors 89,62,342 . The biggest common factor number is the GCF number.
So the greatest common factor 89,62,342 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 71/89, 999/62, 642/342

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 71/89, 999/62, 642/342?

Answer: LCM of Numerators as per given numbers 71/89, 999/62, 642/342 is

LCM of Numerators i.e. for 71,999,642 is 15178806

GCF of denominators i.e. for 89,62,342 is 1.

Thus, LCM of Fractions is 15178806.Finally, LCM of Fractions for 71/89, 999/62, 642/342 is 15178806.