Least Common Multiple of 614/63, 370/68, 916/39

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 614/63, 370/68, 916/39 quickly i.e. 52024220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 614/63, 370/68, 916/39 is 52024220.

LCM(614/63, 370/68, 916/39) = 52024220

LCM of 614/63, 370/68, 916/39

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 614/63,370/68,916/39

Given numbers are 614/63,370/68,916/39

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 614,370,916

Least Common Multiple of Numerators i.e. LCM of 614,370,916 is 52024220.

GCF of Denominators means GCF of 63,68,39 as per the given fractions.

GCF of 63,68,39 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 614,370,916

LCM of Fractions 614/63,370/68,916/39 is 52024220

2 614, 370, 916
307, 185, 458

∴ So the LCM of the given numbers is 2 x 307 x 185 x 458 = 52024220

Least Common Multiple of 614,370,916 with GCF Formula

Least Common Multiple of 614,370,916 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 614,370,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(614,370,916) = 2

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

GCF(614,370,916) x common factors =2 x 2 = 4

LCM(614,370,916) = ( 614 × 370 × 916 ) / 4

LCM(614,370,916) = 208096880 / 4

LCM(614,370,916) = 52024220


Lets's calculate GCF of 63,68,39

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52024220/1

Therefore the LCM of Fractions 614/63,370/68,916/39 is 52024220

Greatest Common Factor of 63,68,39 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,68,39 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 39

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

1,3,13,39

Greatest Common Factor

We found the factors 63,68,39 . The biggest common factor number is the GCF number.
So the greatest common factor 63,68,39 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 614/63, 370/68, 916/39

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 614/63, 370/68, 916/39?

Answer: LCM of Numerators as per given numbers 614/63, 370/68, 916/39 is

LCM of Numerators i.e. for 614,370,916 is 52024220

GCF of denominators i.e. for 63,68,39 is 1.

Thus, LCM of Fractions is 52024220.Finally, LCM of Fractions for 614/63, 370/68, 916/39 is 52024220.