Least Common Multiple of 422/45, 119/48, 817/232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 422/45, 119/48, 817/232 quickly i.e. 41028106 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 422/45, 119/48, 817/232 is 41028106.

LCM(422/45, 119/48, 817/232) = 41028106

LCM of 422/45, 119/48, 817/232

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 422/45,119/48,817/232

Given numbers are 422/45,119/48,817/232

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 422,119,817

Least Common Multiple of Numerators i.e. LCM of 422,119,817 is 41028106.

GCF of Denominators means GCF of 45,48,232 as per the given fractions.

GCF of 45,48,232 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 422,119,817

LCM of Fractions 422/45,119/48,817/232 is 41028106

Given numbers has no common factors except 1. So, there LCM is their product i.e 41028106

Least Common Multiple of 422,119,817 with GCF Formula

Least Common Multiple of 422,119,817 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 422,119,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(422,119,817) = 1

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

GCF(422,119,817) x common factors =1 x 1 = 1

LCM(422,119,817) = ( 422 × 119 × 817 ) / 1

LCM(422,119,817) = 41028106 / 1

LCM(422,119,817) = 41028106


Lets's calculate GCF of 45,48,232

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41028106/1

Therefore the LCM of Fractions 422/45,119/48,817/232 is 41028106

Greatest Common Factor of 45,48,232 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,48,232 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Greatest Common Factor

We found the factors 45,48,232 . The biggest common factor number is the GCF number.
So the greatest common factor 45,48,232 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 422/45, 119/48, 817/232

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 422/45, 119/48, 817/232?

Answer: LCM of Numerators as per given numbers 422/45, 119/48, 817/232 is

LCM of Numerators i.e. for 422,119,817 is 41028106

GCF of denominators i.e. for 45,48,232 is 1.

Thus, LCM of Fractions is 41028106.Finally, LCM of Fractions for 422/45, 119/48, 817/232 is 41028106.