Least Common Multiple of 60/30, 69/19, 106/78

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/30, 69/19, 106/78 quickly i.e. 73140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/30, 69/19, 106/78 is 73140.

LCM(60/30, 69/19, 106/78) = 73140

LCM of 60/30, 69/19, 106/78

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 60/30,69/19,106/78

Given numbers are 60/30,69/19,106/78

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 60,69,106

Least Common Multiple of Numerators i.e. LCM of 60,69,106 is 73140.

GCF of Denominators means GCF of 30,19,78 as per the given fractions.

GCF of 30,19,78 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,69,106

LCM of Fractions 60/30,69/19,106/78 is 73140

2 60, 69, 106
3 30, 69, 53
10, 23, 53

∴ So the LCM of the given numbers is 2 x 3 x 10 x 23 x 53 = 73140

Least Common Multiple of 60,69,106 with GCF Formula

Least Common Multiple of 60,69,106 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 60,69,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,69,106) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(60,69,106) x common factors =1 x 6 = 6

LCM(60,69,106) = ( 60 × 69 × 106 ) / 6

LCM(60,69,106) = 438840 / 6

LCM(60,69,106) = 73140


Lets's calculate GCF of 30,19,78

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73140/1

Therefore the LCM of Fractions 60/30,69/19,106/78 is 73140

Greatest Common Factor of 30,19,78 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,19,78 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Greatest Common Factor

We found the factors 30,19,78 . The biggest common factor number is the GCF number.
So the greatest common factor 30,19,78 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 60/30, 69/19, 106/78

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 60/30, 69/19, 106/78?

Answer: LCM of Numerators as per given numbers 60/30, 69/19, 106/78 is

LCM of Numerators i.e. for 60,69,106 is 73140

GCF of denominators i.e. for 30,19,78 is 1.

Thus, LCM of Fractions is 73140.Finally, LCM of Fractions for 60/30, 69/19, 106/78 is 73140.