Least Common Multiple of 74/663, 4132/2312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/663, 4132/2312 quickly i.e. 152884/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/663, 4132/2312 is 152884/17.

LCM(74/663, 4132/2312) = 152884/17

LCM of 74/663, 4132/2312

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 74/663,4132/2312

Given numbers are 74/663,4132/2312

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 74,4132

Least Common Multiple of Numerators i.e. LCM of 74,4132 is 152884.

GCF of Denominators means GCF of 663,2312 as per the given fractions.

GCF of 663,2312 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,4132

LCM of Fractions 74/663,4132/2312 is 152884/17

2 74, 4132
37, 2066

∴ So the LCM of the given numbers is 2 x 37 x 2066 = 152884

Least Common Multiple of 74,4132 with GCF Formula

Least Common Multiple of 74,4132 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 74,4132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,4132) = 2

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

GCF(74,4132) x common factors =2 x 1 = 2

LCM(74,4132) = ( 74 × 4132 ) / 2

LCM(74,4132) = 305768 / 2

LCM(74,4132) = 152884


Lets's calculate GCF of 663,2312

17 663, 2312
39, 136

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 152884/17

Therefore the LCM of Fractions 74/663,4132/2312 is 152884/17

Greatest Common Factor of 663,2312 By Matching Biggest Common Factor Method

Greatest Common Factor of 663,2312 By Matching Biggest Common Factor Method

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Factors of 2312

List of positive integer factors of 2312 that divides 2312 without a remainder.

1,2,4,8,17,34,68,136,289,578,1156,2312

Greatest Common Factor

We found the factors 663,2312 . The biggest common factor number is the GCF number.
So the greatest common factor 663,2312 is 17.


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 74/663, 4132/2312

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 74/663, 4132/2312?

Answer: LCM of Numerators as per given numbers 74/663, 4132/2312 is

LCM of Numerators i.e. for 74,4132 is 152884

GCF of denominators i.e. for 663,2312 is 17.

Thus, LCM of Fractions is 152884/17.Finally, LCM of Fractions for 74/663, 4132/2312 is 152884/17.