Least Common Multiple of 19/422, 31/110, 174/871

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/422, 31/110, 174/871 quickly i.e. 102486 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/422, 31/110, 174/871 is 102486.

LCM(19/422, 31/110, 174/871) = 102486

LCM of 19/422, 31/110, 174/871

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 19/422,31/110,174/871

Given numbers are 19/422,31/110,174/871

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 19,31,174

Least Common Multiple of Numerators i.e. LCM of 19,31,174 is 102486.

GCF of Denominators means GCF of 422,110,871 as per the given fractions.

GCF of 422,110,871 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,31,174

LCM of Fractions 19/422,31/110,174/871 is 102486

Given numbers has no common factors except 1. So, there LCM is their product i.e 102486

Least Common Multiple of 19,31,174 with GCF Formula

Least Common Multiple of 19,31,174 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 19,31,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,31,174) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(19,31,174) x common factors =1 x 1 = 1

LCM(19,31,174) = ( 19 × 31 × 174 ) / 1

LCM(19,31,174) = 102486 / 1

LCM(19,31,174) = 102486


Lets's calculate GCF of 422,110,871

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 102486/1

Therefore the LCM of Fractions 19/422,31/110,174/871 is 102486

Greatest Common Factor of 422,110,871 By Matching Biggest Common Factor Method

Greatest Common Factor of 422,110,871 By Matching Biggest Common Factor Method

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Greatest Common Factor

We found the factors 422,110,871 . The biggest common factor number is the GCF number.
So the greatest common factor 422,110,871 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 19/422, 31/110, 174/871

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 19/422, 31/110, 174/871?

Answer: LCM of Numerators as per given numbers 19/422, 31/110, 174/871 is

LCM of Numerators i.e. for 19,31,174 is 102486

GCF of denominators i.e. for 422,110,871 is 1.

Thus, LCM of Fractions is 102486.Finally, LCM of Fractions for 19/422, 31/110, 174/871 is 102486.