Least Common Multiple of 7/66, 13/76, 114/34

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7/66, 13/76, 114/34 quickly i.e. 5187 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7/66, 13/76, 114/34 is 5187.

LCM(7/66, 13/76, 114/34) = 5187

LCM of 7/66, 13/76, 114/34

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 7/66,13/76,114/34

Given numbers are 7/66,13/76,114/34

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 7,13,114

Least Common Multiple of Numerators i.e. LCM of 7,13,114 is 10374.

GCF of Denominators means GCF of 66,76,34 as per the given fractions.

GCF of 66,76,34 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7,13,114

LCM of Fractions 7/66,13/76,114/34 is 5187

Given numbers has no common factors except 1. So, there LCM is their product i.e 10374

Least Common Multiple of 7,13,114 with GCF Formula

Least Common Multiple of 7,13,114 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 7,13,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7,13,114) = 1

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

GCF(7,13,114) x common factors =1 x 1 = 1

LCM(7,13,114) = ( 7 × 13 × 114 ) / 1

LCM(7,13,114) = 10374 / 1

LCM(7,13,114) = 10374


Lets's calculate GCF of 66,76,34

2 66, 76, 34
33, 38, 17

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10374/2

Therefore the LCM of Fractions 7/66,13/76,114/34 is 5187

Greatest Common Factor of 66,76,34 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,76,34 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Greatest Common Factor

We found the factors 66,76,34 . The biggest common factor number is the GCF number.
So the greatest common factor 66,76,34 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 7/66, 13/76, 114/34

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 7/66, 13/76, 114/34?

Answer: LCM of Numerators as per given numbers 7/66, 13/76, 114/34 is

LCM of Numerators i.e. for 7,13,114 is 10374

GCF of denominators i.e. for 66,76,34 is 2.

Thus, LCM of Fractions is 5187.Finally, LCM of Fractions for 7/66, 13/76, 114/34 is 5187.