Least Common Multiple of 614/71, 311/40, 422/624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 614/71, 311/40, 422/624 quickly i.e. 40291294 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 614/71, 311/40, 422/624 is 40291294.

LCM(614/71, 311/40, 422/624) = 40291294

LCM of 614/71, 311/40, 422/624

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 614/71,311/40,422/624

Given numbers are 614/71,311/40,422/624

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 614,311,422

Least Common Multiple of Numerators i.e. LCM of 614,311,422 is 40291294.

GCF of Denominators means GCF of 71,40,624 as per the given fractions.

GCF of 71,40,624 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 614,311,422

LCM of Fractions 614/71,311/40,422/624 is 40291294

2 614, 311, 422
307, 311, 211

∴ So the LCM of the given numbers is 2 x 307 x 311 x 211 = 40291294

Least Common Multiple of 614,311,422 with GCF Formula

Least Common Multiple of 614,311,422 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 614,311,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(614,311,422) = 1

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

GCF(614,311,422) x common factors =1 x 2 = 2

LCM(614,311,422) = ( 614 × 311 × 422 ) / 2

LCM(614,311,422) = 80582588 / 2

LCM(614,311,422) = 40291294


Lets's calculate GCF of 71,40,624

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40291294/1

Therefore the LCM of Fractions 614/71,311/40,422/624 is 40291294

Greatest Common Factor of 71,40,624 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,40,624 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

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 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Greatest Common Factor

We found the factors 71,40,624 . The biggest common factor number is the GCF number.
So the greatest common factor 71,40,624 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 614/71, 311/40, 422/624

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 614/71, 311/40, 422/624?

Answer: LCM of Numerators as per given numbers 614/71, 311/40, 422/624 is

LCM of Numerators i.e. for 614,311,422 is 40291294

GCF of denominators i.e. for 71,40,624 is 1.

Thus, LCM of Fractions is 40291294.Finally, LCM of Fractions for 614/71, 311/40, 422/624 is 40291294.