Least Common Multiple of 744/78, 148/1166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 744/78, 148/1166 quickly i.e. 13764 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 744/78, 148/1166 is 13764.

LCM(744/78, 148/1166) = 13764

LCM of 744/78, 148/1166

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 744/78,148/1166

Given numbers are 744/78,148/1166

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 744,148

Least Common Multiple of Numerators i.e. LCM of 744,148 is 27528.

GCF of Denominators means GCF of 78,1166 as per the given fractions.

GCF of 78,1166 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 744,148

LCM of Fractions 744/78,148/1166 is 13764

2 744, 148
2 372, 74
186, 37

∴ So the LCM of the given numbers is 2 x 2 x 186 x 37 = 27528

Least Common Multiple of 744,148 with GCF Formula

Least Common Multiple of 744,148 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 744,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,148) = 4

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

GCF(744,148) x common factors =4 x 1 = 4

LCM(744,148) = ( 744 × 148 ) / 4

LCM(744,148) = 110112 / 4

LCM(744,148) = 27528


Lets's calculate GCF of 78,1166

2 78, 1166
39, 583

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27528/2

Therefore the LCM of Fractions 744/78,148/1166 is 13764

Greatest Common Factor of 78,1166 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,1166 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 1166

List of positive integer factors of 1166 that divides 1166 without a remainder.

1,2,11,22,53,106,583,1166

Greatest Common Factor

We found the factors 78,1166 . The biggest common factor number is the GCF number.
So the greatest common factor 78,1166 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 744/78, 148/1166

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 744/78, 148/1166?

Answer: LCM of Numerators as per given numbers 744/78, 148/1166 is

LCM of Numerators i.e. for 744,148 is 27528

GCF of denominators i.e. for 78,1166 is 2.

Thus, LCM of Fractions is 13764.Finally, LCM of Fractions for 744/78, 148/1166 is 13764.