Least Common Multiple of 119/402, 1794/195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 119/402, 1794/195 quickly i.e. 71162 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 119/402, 1794/195 is 71162.

LCM(119/402, 1794/195) = 71162

LCM of 119/402, 1794/195

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 119/402,1794/195

Given numbers are 119/402,1794/195

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 119,1794

Least Common Multiple of Numerators i.e. LCM of 119,1794 is 213486.

GCF of Denominators means GCF of 402,195 as per the given fractions.

GCF of 402,195 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 119,1794

LCM of Fractions 119/402,1794/195 is 71162

Given numbers has no common factors except 1. So, there LCM is their product i.e 213486

Least Common Multiple of 119,1794 with GCF Formula

Least Common Multiple of 119,1794 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 119,1794 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(119,1794) = 1

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

GCF(119,1794) x common factors =1 x 1 = 1

LCM(119,1794) = ( 119 × 1794 ) / 1

LCM(119,1794) = 213486 / 1

LCM(119,1794) = 213486


Lets's calculate GCF of 402,195

3 402, 195
134, 65

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 213486/3

Therefore the LCM of Fractions 119/402,1794/195 is 71162

Greatest Common Factor of 402,195 By Matching Biggest Common Factor Method

Greatest Common Factor of 402,195 By Matching Biggest Common Factor Method

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Greatest Common Factor

We found the factors 402,195 . The biggest common factor number is the GCF number.
So the greatest common factor 402,195 is 3.


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 119/402, 1794/195

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 119/402, 1794/195?

Answer: LCM of Numerators as per given numbers 119/402, 1794/195 is

LCM of Numerators i.e. for 119,1794 is 213486

GCF of denominators i.e. for 402,195 is 3.

Thus, LCM of Fractions is 71162.Finally, LCM of Fractions for 119/402, 1794/195 is 71162.