Least Common Multiple of 19/67, 73/79, 228/945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/67, 73/79, 228/945 quickly i.e. 16644 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/67, 73/79, 228/945 is 16644.

LCM(19/67, 73/79, 228/945) = 16644

LCM of 19/67, 73/79, 228/945

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 19/67,73/79,228/945

Given numbers are 19/67,73/79,228/945

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 19,73,228

Least Common Multiple of Numerators i.e. LCM of 19,73,228 is 16644.

GCF of Denominators means GCF of 67,79,945 as per the given fractions.

GCF of 67,79,945 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,73,228

LCM of Fractions 19/67,73/79,228/945 is 16644

19 19, 73, 228
1, 73, 12

∴ So the LCM of the given numbers is 19 x 1 x 73 x 12 = 16644

Least Common Multiple of 19,73,228 with GCF Formula

Least Common Multiple of 19,73,228 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 19,73,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,73,228) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(19,73,228) x common factors =1 x 19 = 19

LCM(19,73,228) = ( 19 × 73 × 228 ) / 19

LCM(19,73,228) = 316236 / 19

LCM(19,73,228) = 16644


Lets's calculate GCF of 67,79,945

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16644/1

Therefore the LCM of Fractions 19/67,73/79,228/945 is 16644

Greatest Common Factor of 67,79,945 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,79,945 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Greatest Common Factor

We found the factors 67,79,945 . The biggest common factor number is the GCF number.
So the greatest common factor 67,79,945 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 19/67, 73/79, 228/945

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 19/67, 73/79, 228/945?

Answer: LCM of Numerators as per given numbers 19/67, 73/79, 228/945 is

LCM of Numerators i.e. for 19,73,228 is 16644

GCF of denominators i.e. for 67,79,945 is 1.

Thus, LCM of Fractions is 16644.Finally, LCM of Fractions for 19/67, 73/79, 228/945 is 16644.