Least Common Multiple of 71/40, 40/73, 562/348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/40, 40/73, 562/348 quickly i.e. 798040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/40, 40/73, 562/348 is 798040.

LCM(71/40, 40/73, 562/348) = 798040

LCM of 71/40, 40/73, 562/348

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 71/40,40/73,562/348

Given numbers are 71/40,40/73,562/348

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 71,40,562

Least Common Multiple of Numerators i.e. LCM of 71,40,562 is 798040.

GCF of Denominators means GCF of 40,73,348 as per the given fractions.

GCF of 40,73,348 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,40,562

LCM of Fractions 71/40,40/73,562/348 is 798040

2 71, 40, 562
71, 20, 281

∴ So the LCM of the given numbers is 2 x 71 x 20 x 281 = 798040

Least Common Multiple of 71,40,562 with GCF Formula

Least Common Multiple of 71,40,562 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 71,40,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,40,562) = 1

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

GCF(71,40,562) x common factors =1 x 2 = 2

LCM(71,40,562) = ( 71 × 40 × 562 ) / 2

LCM(71,40,562) = 1596080 / 2

LCM(71,40,562) = 798040


Lets's calculate GCF of 40,73,348

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 798040/1

Therefore the LCM of Fractions 71/40,40/73,562/348 is 798040

Greatest Common Factor of 40,73,348 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,73,348 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Greatest Common Factor

We found the factors 40,73,348 . The biggest common factor number is the GCF number.
So the greatest common factor 40,73,348 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 71/40, 40/73, 562/348

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 71/40, 40/73, 562/348?

Answer: LCM of Numerators as per given numbers 71/40, 40/73, 562/348 is

LCM of Numerators i.e. for 71,40,562 is 798040

GCF of denominators i.e. for 40,73,348 is 1.

Thus, LCM of Fractions is 798040.Finally, LCM of Fractions for 71/40, 40/73, 562/348 is 798040.