Least Common Multiple of 1189/76, 5995/228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1189/76, 5995/228 quickly i.e. 7128055/76 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1189/76, 5995/228 is 7128055/76.

LCM(1189/76, 5995/228) = 7128055/76

LCM of 1189/76, 5995/228

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 1189/76,5995/228

Given numbers are 1189/76,5995/228

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 1189,5995

Least Common Multiple of Numerators i.e. LCM of 1189,5995 is 7128055.

GCF of Denominators means GCF of 76,228 as per the given fractions.

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

Lets's calculate LCM of 1189,5995

LCM of Fractions 1189/76,5995/228 is 7128055/76

Given numbers has no common factors except 1. So, there LCM is their product i.e 7128055

Least Common Multiple of 1189,5995 with GCF Formula

Least Common Multiple of 1189,5995 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 1189,5995 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1189,5995) = 1

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

GCF(1189,5995) x common factors =1 x 1 = 1

LCM(1189,5995) = ( 1189 × 5995 ) / 1

LCM(1189,5995) = 7128055 / 1

LCM(1189,5995) = 7128055


Lets's calculate GCF of 76,228

2 76, 228
2 38, 114
19 19, 57
1, 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 = 7128055/76

Therefore the LCM of Fractions 1189/76,5995/228 is 7128055/76

Greatest Common Factor of 76,228 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,228 By Matching Biggest Common Factor Method

Factors of 76

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

1,2,4,19,38,76

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 76,228 . The biggest common factor number is the GCF number.
So the greatest common factor 76,228 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 1189/76, 5995/228

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 1189/76, 5995/228?

Answer: LCM of Numerators as per given numbers 1189/76, 5995/228 is

LCM of Numerators i.e. for 1189,5995 is 7128055

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

Thus, LCM of Fractions is 7128055/76.Finally, LCM of Fractions for 1189/76, 5995/228 is 7128055/76.