Least Common Multiple of 996/760, 4566/228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 996/760, 4566/228 quickly i.e. 757956/76 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 996/760, 4566/228 is 757956/76.

LCM(996/760, 4566/228) = 757956/76

LCM of 996/760, 4566/228

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 996/760,4566/228

Given numbers are 996/760,4566/228

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 996,4566

Least Common Multiple of Numerators i.e. LCM of 996,4566 is 757956.

GCF of Denominators means GCF of 760,228 as per the given fractions.

GCF of 760,228 is 76 as it is the largest common factor for these numbers.

Lets's calculate LCM of 996,4566

LCM of Fractions 996/760,4566/228 is 757956/76

2 996, 4566
3 498, 2283
166, 761

∴ So the LCM of the given numbers is 2 x 3 x 166 x 761 = 757956

Least Common Multiple of 996,4566 with GCF Formula

Least Common Multiple of 996,4566 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 996,4566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(996,4566) = 6

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

GCF(996,4566) x common factors =6 x 1 = 6

LCM(996,4566) = ( 996 × 4566 ) / 6

LCM(996,4566) = 4547736 / 6

LCM(996,4566) = 757956


Lets's calculate GCF of 760,228

2 760, 228
2 380, 114
19 190, 57
10, 3

∴ So the GCF of the given numbers is 2 x 2 x 19 = 76

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 757956/76

Therefore the LCM of Fractions 996/760,4566/228 is 757956/76

Greatest Common Factor of 760,228 By Matching Biggest Common Factor Method

Greatest Common Factor of 760,228 By Matching Biggest Common Factor Method

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Greatest Common Factor

We found the factors 760,228 . The biggest common factor number is the GCF number.
So the greatest common factor 760,228 is 76.


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 996/760, 4566/228

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 996/760, 4566/228?

Answer: LCM of Numerators as per given numbers 996/760, 4566/228 is

LCM of Numerators i.e. for 996,4566 is 757956

GCF of denominators i.e. for 760,228 is 76.

Thus, LCM of Fractions is 757956/76.Finally, LCM of Fractions for 996/760, 4566/228 is 757956/76.