Least Common Multiple of 78/31, 655/68, 838/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/31, 655/68, 838/390 quickly i.e. 21406710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/31, 655/68, 838/390 is 21406710.

LCM(78/31, 655/68, 838/390) = 21406710

LCM of 78/31, 655/68, 838/390

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 78/31,655/68,838/390

Given numbers are 78/31,655/68,838/390

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 78,655,838

Least Common Multiple of Numerators i.e. LCM of 78,655,838 is 21406710.

GCF of Denominators means GCF of 31,68,390 as per the given fractions.

GCF of 31,68,390 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,655,838

LCM of Fractions 78/31,655/68,838/390 is 21406710

2 78, 655, 838
39, 655, 419

∴ So the LCM of the given numbers is 2 x 39 x 655 x 419 = 21406710

Least Common Multiple of 78,655,838 with GCF Formula

Least Common Multiple of 78,655,838 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 78,655,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,655,838) = 1

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

GCF(78,655,838) x common factors =1 x 2 = 2

LCM(78,655,838) = ( 78 × 655 × 838 ) / 2

LCM(78,655,838) = 42813420 / 2

LCM(78,655,838) = 21406710


Lets's calculate GCF of 31,68,390

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21406710/1

Therefore the LCM of Fractions 78/31,655/68,838/390 is 21406710

Greatest Common Factor of 31,68,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,68,390 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 68

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

1,2,4,17,34,68

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 31,68,390 . The biggest common factor number is the GCF number.
So the greatest common factor 31,68,390 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 78/31, 655/68, 838/390

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 78/31, 655/68, 838/390?

Answer: LCM of Numerators as per given numbers 78/31, 655/68, 838/390 is

LCM of Numerators i.e. for 78,655,838 is 21406710

GCF of denominators i.e. for 31,68,390 is 1.

Thus, LCM of Fractions is 21406710.Finally, LCM of Fractions for 78/31, 655/68, 838/390 is 21406710.