Least Common Multiple of 34/23, 51/78, 42/91, 76/45

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/23, 51/78, 42/91, 76/45 quickly i.e. 27132 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/23, 51/78, 42/91, 76/45 is 27132.

LCM(34/23, 51/78, 42/91, 76/45) = 27132

LCM of 34/23, 51/78, 42/91, 76/45

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 34/23,51/78,42/91,76/45

Given numbers are 34/23,51/78,42/91,76/45

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 34,51,42,76

Least Common Multiple of Numerators i.e. LCM of 34,51,42,76 is 27132.

GCF of Denominators means GCF of 23,78,91,45 as per the given fractions.

GCF of 23,78,91,45 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,51,42,76

LCM of Fractions 34/23,51/78,42/91,76/45 is 27132

2 34, 51, 42, 76
3 17, 51, 21, 38
17 17, 17, 7, 38
1, 1, 7, 38

∴ So the LCM of the given numbers is 2 x 3 x 17 x 1 x 1 x 7 x 38 = 27132

Least Common Multiple of 34,51,42,76 with GCF Formula

Least Common Multiple of 34,51,42,76 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 34,51,42,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,51,42,76) = 1

common factors(in case of two or more numbers have common factors) = 204

GCF(34,51,42,76) x common factors =1 x 204 = 204

LCM(34,51,42,76) = ( 34 × 51 × 42 × 76 ) / 204

LCM(34,51,42,76) = 5534928 / 204

LCM(34,51,42,76) = 27132


Lets's calculate GCF of 23,78,91,45

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27132/1

Therefore the LCM of Fractions 34/23,51/78,42/91,76/45 is 27132

Greatest Common Factor of 23,78,91,45 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,78,91,45 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

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 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Greatest Common Factor

We found the factors 23,78,91,45 . The biggest common factor number is the GCF number.
So the greatest common factor 23,78,91,45 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 34/23, 51/78, 42/91, 76/45

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 34/23, 51/78, 42/91, 76/45?

Answer: LCM of Numerators as per given numbers 34/23, 51/78, 42/91, 76/45 is

LCM of Numerators i.e. for 34,51,42,76 is 27132

GCF of denominators i.e. for 23,78,91,45 is 1.

Thus, LCM of Fractions is 27132.Finally, LCM of Fractions for 34/23, 51/78, 42/91, 76/45 is 27132.