Least Common Multiple of 228/19, 795/36, 778/139

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 228/19, 795/36, 778/139 quickly i.e. 23503380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 228/19, 795/36, 778/139 is 23503380.

LCM(228/19, 795/36, 778/139) = 23503380

LCM of 228/19, 795/36, 778/139

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 228/19,795/36,778/139

Given numbers are 228/19,795/36,778/139

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 228,795,778

Least Common Multiple of Numerators i.e. LCM of 228,795,778 is 23503380.

GCF of Denominators means GCF of 19,36,139 as per the given fractions.

GCF of 19,36,139 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 228,795,778

LCM of Fractions 228/19,795/36,778/139 is 23503380

2 228, 795, 778
3 114, 795, 389
38, 265, 389

∴ So the LCM of the given numbers is 2 x 3 x 38 x 265 x 389 = 23503380

Least Common Multiple of 228,795,778 with GCF Formula

Least Common Multiple of 228,795,778 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 228,795,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,795,778) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(228,795,778) x common factors =1 x 6 = 6

LCM(228,795,778) = ( 228 × 795 × 778 ) / 6

LCM(228,795,778) = 141020280 / 6

LCM(228,795,778) = 23503380


Lets's calculate GCF of 19,36,139

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23503380/1

Therefore the LCM of Fractions 228/19,795/36,778/139 is 23503380

Greatest Common Factor of 19,36,139 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,36,139 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 139

List of positive integer factors of 139 that divides 139 without a remainder.

1,139

Greatest Common Factor

We found the factors 19,36,139 . The biggest common factor number is the GCF number.
So the greatest common factor 19,36,139 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 228/19, 795/36, 778/139

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 228/19, 795/36, 778/139?

Answer: LCM of Numerators as per given numbers 228/19, 795/36, 778/139 is

LCM of Numerators i.e. for 228,795,778 is 23503380

GCF of denominators i.e. for 19,36,139 is 1.

Thus, LCM of Fractions is 23503380.Finally, LCM of Fractions for 228/19, 795/36, 778/139 is 23503380.