# Least Common Multiple of 8/60, 415/42, 118/78

Know Least Common Multiple of fractions 8/60, 415/42, 118/78 quickly i.e. 195880/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/60, 415/42, 118/78 is 195880/6.

LCM(8/60, 415/42, 118/78) = 195880/6

## LCM of 8/60, 415/42, 118/78

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Given numbers are 8/60,415/42,118/78

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 8,415,118

Least Common Multiple of Numerators i.e. LCM of 8,415,118 is 195880.

GCF of Denominators means GCF of 60,42,78 as per the given fractions.

GCF of 60,42,78 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,415,118

### Least Common Multiple (LCM) of 8,415,118 By Common Division

 2 8, 415, 118 4, 415, 59

∴ So the LCM of the given numbers is 2 x 4 x 415 x 59 = 195880

Least Common Multiple of 8,415,118 with GCF Formula

### Least Common Multiple of 8,415,118 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 8,415,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,415,118) = 1

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

GCF(8,415,118) x common factors =1 x 2 = 2

LCM(8,415,118) = ( 8 × 415 × 118 ) / 2

LCM(8,415,118) = 391760 / 2

LCM(8,415,118) = 195880

Lets's calculate GCF of 60,42,78

### Greatest Common Factor (GCF) of 60,42,78 By Common Division

 2 60, 42, 78 3 30, 21, 39 10, 7, 13

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 195880/6

Therefore the LCM of Fractions 8/60,415/42,118/78 is 195880/6

Greatest Common Factor of 60,42,78 By Matching Biggest Common Factor Method

### Greatest Common Factor of 60,42,78 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 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 60,42,78 . The biggest common factor number is the GCF number.
So the greatest common factor 60,42,78 is 6.

### LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

### Frequently Asked Questions on Fractional LCM of 8/60, 415/42, 118/78

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 8/60, 415/42, 118/78?

Answer: LCM of Numerators as per given numbers 8/60, 415/42, 118/78 is

LCM of Numerators i.e. for 8,415,118 is 195880

GCF of denominators i.e. for 60,42,78 is 6.

Thus, LCM of Fractions is 195880/6.Finally, LCM of Fractions for 8/60, 415/42, 118/78 is 195880/6.