Least Common Multiple of 9/78, 58/764, 60/112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9/78, 58/764, 60/112 quickly i.e. 2610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9/78, 58/764, 60/112 is 2610.

LCM(9/78, 58/764, 60/112) = 2610

LCM of 9/78, 58/764, 60/112

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 9/78,58/764,60/112

Given numbers are 9/78,58/764,60/112

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 9,58,60

Least Common Multiple of Numerators i.e. LCM of 9,58,60 is 5220.

GCF of Denominators means GCF of 78,764,112 as per the given fractions.

GCF of 78,764,112 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9,58,60

LCM of Fractions 9/78,58/764,60/112 is 2610

2 9, 58, 60
3 9, 29, 30
3, 29, 10

∴ So the LCM of the given numbers is 2 x 3 x 3 x 29 x 10 = 5220

Least Common Multiple of 9,58,60 with GCF Formula

Least Common Multiple of 9,58,60 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 9,58,60 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9,58,60) = 1

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

GCF(9,58,60) x common factors =1 x 6 = 6

LCM(9,58,60) = ( 9 × 58 × 60 ) / 6

LCM(9,58,60) = 31320 / 6

LCM(9,58,60) = 5220


Lets's calculate GCF of 78,764,112

2 78, 764, 112
39, 382, 56

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5220/2

Therefore the LCM of Fractions 9/78,58/764,60/112 is 2610

Greatest Common Factor of 78,764,112 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,764,112 By Matching Biggest Common Factor Method

Factors of 78

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

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

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Greatest Common Factor

We found the factors 78,764,112 . The biggest common factor number is the GCF number.
So the greatest common factor 78,764,112 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 9/78, 58/764, 60/112

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 9/78, 58/764, 60/112?

Answer: LCM of Numerators as per given numbers 9/78, 58/764, 60/112 is

LCM of Numerators i.e. for 9,58,60 is 5220

GCF of denominators i.e. for 78,764,112 is 2.

Thus, LCM of Fractions is 2610.Finally, LCM of Fractions for 9/78, 58/764, 60/112 is 2610.