Least Common Multiple of 67/88, 52/51, 78/891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/88, 52/51, 78/891 quickly i.e. 10452 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/88, 52/51, 78/891 is 10452.

LCM(67/88, 52/51, 78/891) = 10452

LCM of 67/88, 52/51, 78/891

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 67/88,52/51,78/891

Given numbers are 67/88,52/51,78/891

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 67,52,78

Least Common Multiple of Numerators i.e. LCM of 67,52,78 is 10452.

GCF of Denominators means GCF of 88,51,891 as per the given fractions.

GCF of 88,51,891 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,52,78

LCM of Fractions 67/88,52/51,78/891 is 10452

2 67, 52, 78
13 67, 26, 39
67, 2, 3

∴ So the LCM of the given numbers is 2 x 13 x 67 x 2 x 3 = 10452

Least Common Multiple of 67,52,78 with GCF Formula

Least Common Multiple of 67,52,78 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 67,52,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,52,78) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(67,52,78) x common factors =1 x 26 = 26

LCM(67,52,78) = ( 67 × 52 × 78 ) / 26

LCM(67,52,78) = 271752 / 26

LCM(67,52,78) = 10452


Lets's calculate GCF of 88,51,891

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10452/1

Therefore the LCM of Fractions 67/88,52/51,78/891 is 10452

Greatest Common Factor of 88,51,891 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,51,891 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Greatest Common Factor

We found the factors 88,51,891 . The biggest common factor number is the GCF number.
So the greatest common factor 88,51,891 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 67/88, 52/51, 78/891

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 67/88, 52/51, 78/891?

Answer: LCM of Numerators as per given numbers 67/88, 52/51, 78/891 is

LCM of Numerators i.e. for 67,52,78 is 10452

GCF of denominators i.e. for 88,51,891 is 1.

Thus, LCM of Fractions is 10452.Finally, LCM of Fractions for 67/88, 52/51, 78/891 is 10452.