Least Common Multiple of 71/919, 292/39, 297/423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/919, 292/39, 297/423 quickly i.e. 6157404 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/919, 292/39, 297/423 is 6157404.

LCM(71/919, 292/39, 297/423) = 6157404

LCM of 71/919, 292/39, 297/423

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 71/919,292/39,297/423

Given numbers are 71/919,292/39,297/423

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 71,292,297

Least Common Multiple of Numerators i.e. LCM of 71,292,297 is 6157404.

GCF of Denominators means GCF of 919,39,423 as per the given fractions.

GCF of 919,39,423 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,292,297

LCM of Fractions 71/919,292/39,297/423 is 6157404

Given numbers has no common factors except 1. So, there LCM is their product i.e 6157404

Least Common Multiple of 71,292,297 with GCF Formula

Least Common Multiple of 71,292,297 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 71,292,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,292,297) = 1

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

GCF(71,292,297) x common factors =1 x 1 = 1

LCM(71,292,297) = ( 71 × 292 × 297 ) / 1

LCM(71,292,297) = 6157404 / 1

LCM(71,292,297) = 6157404


Lets's calculate GCF of 919,39,423

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6157404/1

Therefore the LCM of Fractions 71/919,292/39,297/423 is 6157404

Greatest Common Factor of 919,39,423 By Matching Biggest Common Factor Method

Greatest Common Factor of 919,39,423 By Matching Biggest Common Factor Method

Factors of 919

List of positive integer factors of 919 that divides 919 without a remainder.

1,919

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Greatest Common Factor

We found the factors 919,39,423 . The biggest common factor number is the GCF number.
So the greatest common factor 919,39,423 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 71/919, 292/39, 297/423

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 71/919, 292/39, 297/423?

Answer: LCM of Numerators as per given numbers 71/919, 292/39, 297/423 is

LCM of Numerators i.e. for 71,292,297 is 6157404

GCF of denominators i.e. for 919,39,423 is 1.

Thus, LCM of Fractions is 6157404.Finally, LCM of Fractions for 71/919, 292/39, 297/423 is 6157404.