Least Common Multiple of 105/174, 7666/7944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 105/174, 7666/7944 quickly i.e. 134155 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 105/174, 7666/7944 is 134155.

LCM(105/174, 7666/7944) = 134155

LCM of 105/174, 7666/7944

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 105/174,7666/7944

Given numbers are 105/174,7666/7944

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 105,7666

Least Common Multiple of Numerators i.e. LCM of 105,7666 is 804930.

GCF of Denominators means GCF of 174,7944 as per the given fractions.

GCF of 174,7944 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 105,7666

LCM of Fractions 105/174,7666/7944 is 134155

Given numbers has no common factors except 1. So, there LCM is their product i.e 804930

Least Common Multiple of 105,7666 with GCF Formula

Least Common Multiple of 105,7666 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 105,7666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(105,7666) = 1

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

GCF(105,7666) x common factors =1 x 1 = 1

LCM(105,7666) = ( 105 × 7666 ) / 1

LCM(105,7666) = 804930 / 1

LCM(105,7666) = 804930


Lets's calculate GCF of 174,7944

2 174, 7944
3 87, 3972
29, 1324

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 804930/6

Therefore the LCM of Fractions 105/174,7666/7944 is 134155

Greatest Common Factor of 174,7944 By Matching Biggest Common Factor Method

Greatest Common Factor of 174,7944 By Matching Biggest Common Factor Method

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Factors of 7944

List of positive integer factors of 7944 that divides 7944 without a remainder.

1,2,3,4,6,8,12,24,331,662,993,1324,1986,2648,3972,7944

Greatest Common Factor

We found the factors 174,7944 . The biggest common factor number is the GCF number.
So the greatest common factor 174,7944 is 6.


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 105/174, 7666/7944

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 105/174, 7666/7944?

Answer: LCM of Numerators as per given numbers 105/174, 7666/7944 is

LCM of Numerators i.e. for 105,7666 is 804930

GCF of denominators i.e. for 174,7944 is 6.

Thus, LCM of Fractions is 134155.Finally, LCM of Fractions for 105/174, 7666/7944 is 134155.