Least Common Multiple of 7/78, 67/225, 48/766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7/78, 67/225, 48/766 quickly i.e. 22512 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7/78, 67/225, 48/766 is 22512.

LCM(7/78, 67/225, 48/766) = 22512

LCM of 7/78, 67/225, 48/766

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 7/78,67/225,48/766

Given numbers are 7/78,67/225,48/766

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 7,67,48

Least Common Multiple of Numerators i.e. LCM of 7,67,48 is 22512.

GCF of Denominators means GCF of 78,225,766 as per the given fractions.

GCF of 78,225,766 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7,67,48

LCM of Fractions 7/78,67/225,48/766 is 22512

Given numbers has no common factors except 1. So, there LCM is their product i.e 22512

Least Common Multiple of 7,67,48 with GCF Formula

Least Common Multiple of 7,67,48 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 7,67,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7,67,48) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(7,67,48) x common factors =1 x 1 = 1

LCM(7,67,48) = ( 7 × 67 × 48 ) / 1

LCM(7,67,48) = 22512 / 1

LCM(7,67,48) = 22512


Lets's calculate GCF of 78,225,766

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22512/1

Therefore the LCM of Fractions 7/78,67/225,48/766 is 22512

Greatest Common Factor of 78,225,766 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,225,766 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 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Greatest Common Factor

We found the factors 78,225,766 . The biggest common factor number is the GCF number.
So the greatest common factor 78,225,766 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 7/78, 67/225, 48/766

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 7/78, 67/225, 48/766?

Answer: LCM of Numerators as per given numbers 7/78, 67/225, 48/766 is

LCM of Numerators i.e. for 7,67,48 is 22512

GCF of denominators i.e. for 78,225,766 is 1.

Thus, LCM of Fractions is 22512.Finally, LCM of Fractions for 7/78, 67/225, 48/766 is 22512.