Least Common Multiple of 67/60, 31/42, 68/54, 10/38

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/60, 31/42, 68/54, 10/38 quickly i.e. 353090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/60, 31/42, 68/54, 10/38 is 353090.

LCM(67/60, 31/42, 68/54, 10/38) = 353090

LCM of 67/60, 31/42, 68/54, 10/38

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 67/60,31/42,68/54,10/38

Given numbers are 67/60,31/42,68/54,10/38

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 67,31,68,10

Least Common Multiple of Numerators i.e. LCM of 67,31,68,10 is 706180.

GCF of Denominators means GCF of 60,42,54,38 as per the given fractions.

GCF of 60,42,54,38 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,31,68,10

LCM of Fractions 67/60,31/42,68/54,10/38 is 353090

2 67, 31, 68, 10
67, 31, 34, 5

∴ So the LCM of the given numbers is 2 x 67 x 31 x 34 x 5 = 706180

Least Common Multiple of 67,31,68,10 with GCF Formula

Least Common Multiple of 67,31,68,10 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 67,31,68,10 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,31,68,10) = 1

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

GCF(67,31,68,10) x common factors =1 x 2 = 2

LCM(67,31,68,10) = ( 67 × 31 × 68 × 10 ) / 2

LCM(67,31,68,10) = 1412360 / 2

LCM(67,31,68,10) = 706180


Lets's calculate GCF of 60,42,54,38

2 60, 42, 54, 38
30, 21, 27, 19

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 706180/2

Therefore the LCM of Fractions 67/60,31/42,68/54,10/38 is 353090

Greatest Common Factor of 60,42,54,38 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,42,54,38 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Greatest Common Factor

We found the factors 60,42,54,38 . The biggest common factor number is the GCF number.
So the greatest common factor 60,42,54,38 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 67/60, 31/42, 68/54, 10/38

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 67/60, 31/42, 68/54, 10/38?

Answer: LCM of Numerators as per given numbers 67/60, 31/42, 68/54, 10/38 is

LCM of Numerators i.e. for 67,31,68,10 is 706180

GCF of denominators i.e. for 60,42,54,38 is 2.

Thus, LCM of Fractions is 353090.Finally, LCM of Fractions for 67/60, 31/42, 68/54, 10/38 is 353090.