Least Common Multiple of 19/438, 38/865, 635/186

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 19/438, 38/865, 635/186 quickly i.e. 24130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/438, 38/865, 635/186 is 24130.

LCM(19/438, 38/865, 635/186) = 24130

LCM of 19/438, 38/865, 635/186

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 19/438,38/865,635/186

Given numbers are 19/438,38/865,635/186

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 19,38,635

Least Common Multiple of Numerators i.e. LCM of 19,38,635 is 24130.

GCF of Denominators means GCF of 438,865,186 as per the given fractions.

GCF of 438,865,186 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,38,635

LCM of Fractions 19/438,38/865,635/186 is 24130

19 19, 38, 635
1, 2, 635

∴ So the LCM of the given numbers is 19 x 1 x 2 x 635 = 24130

Least Common Multiple of 19,38,635 with GCF Formula

Least Common Multiple of 19,38,635 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 19,38,635 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,38,635) = 1

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

GCF(19,38,635) x common factors =1 x 19 = 19

LCM(19,38,635) = ( 19 × 38 × 635 ) / 19

LCM(19,38,635) = 458470 / 19

LCM(19,38,635) = 24130


Lets's calculate GCF of 438,865,186

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24130/1

Therefore the LCM of Fractions 19/438,38/865,635/186 is 24130

Greatest Common Factor of 438,865,186 By Matching Biggest Common Factor Method

Greatest Common Factor of 438,865,186 By Matching Biggest Common Factor Method

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Factors of 865

List of positive integer factors of 865 that divides 865 without a remainder.

1,5,173,865

Factors of 186

List of positive integer factors of 186 that divides 186 without a remainder.

1,2,3,6,31,62,93,186

Greatest Common Factor

We found the factors 438,865,186 . The biggest common factor number is the GCF number.
So the greatest common factor 438,865,186 is 1.


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Frequently Asked Questions on Fractional LCM of 19/438, 38/865, 635/186

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 19/438, 38/865, 635/186?

Answer: LCM of Numerators as per given numbers 19/438, 38/865, 635/186 is

LCM of Numerators i.e. for 19,38,635 is 24130

GCF of denominators i.e. for 438,865,186 is 1.

Thus, LCM of Fractions is 24130.Finally, LCM of Fractions for 19/438, 38/865, 635/186 is 24130.