Least Common Multiple of 228/99, 843/17, 869/755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 228/99, 843/17, 869/755 quickly i.e. 55675092 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 228/99, 843/17, 869/755 is 55675092.

LCM(228/99, 843/17, 869/755) = 55675092

LCM of 228/99, 843/17, 869/755

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 228/99,843/17,869/755

Given numbers are 228/99,843/17,869/755

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 228,843,869

Least Common Multiple of Numerators i.e. LCM of 228,843,869 is 55675092.

GCF of Denominators means GCF of 99,17,755 as per the given fractions.

GCF of 99,17,755 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 228,843,869

LCM of Fractions 228/99,843/17,869/755 is 55675092

3 228, 843, 869
76, 281, 869

∴ So the LCM of the given numbers is 3 x 76 x 281 x 869 = 55675092

Least Common Multiple of 228,843,869 with GCF Formula

Least Common Multiple of 228,843,869 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 228,843,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,843,869) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(228,843,869) x common factors =1 x 3 = 3

LCM(228,843,869) = ( 228 × 843 × 869 ) / 3

LCM(228,843,869) = 167025276 / 3

LCM(228,843,869) = 55675092


Lets's calculate GCF of 99,17,755

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55675092/1

Therefore the LCM of Fractions 228/99,843/17,869/755 is 55675092

Greatest Common Factor of 99,17,755 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,17,755 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Greatest Common Factor

We found the factors 99,17,755 . The biggest common factor number is the GCF number.
So the greatest common factor 99,17,755 is 1.


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 228/99, 843/17, 869/755

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 228/99, 843/17, 869/755?

Answer: LCM of Numerators as per given numbers 228/99, 843/17, 869/755 is

LCM of Numerators i.e. for 228,843,869 is 55675092

GCF of denominators i.e. for 99,17,755 is 1.

Thus, LCM of Fractions is 55675092.Finally, LCM of Fractions for 228/99, 843/17, 869/755 is 55675092.