Least Common Multiple of 71/894, 5920/7594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/894, 5920/7594 quickly i.e. 210160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/894, 5920/7594 is 210160.

LCM(71/894, 5920/7594) = 210160

LCM of 71/894, 5920/7594

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 71/894,5920/7594

Given numbers are 71/894,5920/7594

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 71,5920

Least Common Multiple of Numerators i.e. LCM of 71,5920 is 420320.

GCF of Denominators means GCF of 894,7594 as per the given fractions.

GCF of 894,7594 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,5920

LCM of Fractions 71/894,5920/7594 is 210160

Given numbers has no common factors except 1. So, there LCM is their product i.e 420320

Least Common Multiple of 71,5920 with GCF Formula

Least Common Multiple of 71,5920 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 71,5920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,5920) = 1

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

GCF(71,5920) x common factors =1 x 1 = 1

LCM(71,5920) = ( 71 × 5920 ) / 1

LCM(71,5920) = 420320 / 1

LCM(71,5920) = 420320


Lets's calculate GCF of 894,7594

2 894, 7594
447, 3797

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 420320/2

Therefore the LCM of Fractions 71/894,5920/7594 is 210160

Greatest Common Factor of 894,7594 By Matching Biggest Common Factor Method

Greatest Common Factor of 894,7594 By Matching Biggest Common Factor Method

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Factors of 7594

List of positive integer factors of 7594 that divides 7594 without a remainder.

1,2,3797,7594

Greatest Common Factor

We found the factors 894,7594 . The biggest common factor number is the GCF number.
So the greatest common factor 894,7594 is 2.


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 71/894, 5920/7594

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 71/894, 5920/7594?

Answer: LCM of Numerators as per given numbers 71/894, 5920/7594 is

LCM of Numerators i.e. for 71,5920 is 420320

GCF of denominators i.e. for 894,7594 is 2.

Thus, LCM of Fractions is 210160.Finally, LCM of Fractions for 71/894, 5920/7594 is 210160.