Least Common Multiple of 19/15, 39/35, 414/228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/15, 39/35, 414/228 quickly i.e. 102258 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/15, 39/35, 414/228 is 102258.

LCM(19/15, 39/35, 414/228) = 102258

LCM of 19/15, 39/35, 414/228

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 19/15,39/35,414/228

Given numbers are 19/15,39/35,414/228

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 19,39,414

Least Common Multiple of Numerators i.e. LCM of 19,39,414 is 102258.

GCF of Denominators means GCF of 15,35,228 as per the given fractions.

GCF of 15,35,228 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,39,414

LCM of Fractions 19/15,39/35,414/228 is 102258

3 19, 39, 414
19, 13, 138

∴ So the LCM of the given numbers is 3 x 19 x 13 x 138 = 102258

Least Common Multiple of 19,39,414 with GCF Formula

Least Common Multiple of 19,39,414 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 19,39,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,39,414) = 1

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

GCF(19,39,414) x common factors =1 x 3 = 3

LCM(19,39,414) = ( 19 × 39 × 414 ) / 3

LCM(19,39,414) = 306774 / 3

LCM(19,39,414) = 102258


Lets's calculate GCF of 15,35,228

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 102258/1

Therefore the LCM of Fractions 19/15,39/35,414/228 is 102258

Greatest Common Factor of 15,35,228 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,35,228 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

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 15,35,228 . The biggest common factor number is the GCF number.
So the greatest common factor 15,35,228 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 19/15, 39/35, 414/228

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 19/15, 39/35, 414/228?

Answer: LCM of Numerators as per given numbers 19/15, 39/35, 414/228 is

LCM of Numerators i.e. for 19,39,414 is 102258

GCF of denominators i.e. for 15,35,228 is 1.

Thus, LCM of Fractions is 102258.Finally, LCM of Fractions for 19/15, 39/35, 414/228 is 102258.