Least Common Multiple of 961/73, 329/68, 409/190

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 961/73, 329/68, 409/190 quickly i.e. 129313121 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 961/73, 329/68, 409/190 is 129313121.

LCM(961/73, 329/68, 409/190) = 129313121

LCM of 961/73, 329/68, 409/190

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 961/73,329/68,409/190

Given numbers are 961/73,329/68,409/190

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 961,329,409

Least Common Multiple of Numerators i.e. LCM of 961,329,409 is 129313121.

GCF of Denominators means GCF of 73,68,190 as per the given fractions.

GCF of 73,68,190 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 961,329,409

LCM of Fractions 961/73,329/68,409/190 is 129313121

Given numbers has no common factors except 1. So, there LCM is their product i.e 129313121

Least Common Multiple of 961,329,409 with GCF Formula

Least Common Multiple of 961,329,409 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 961,329,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(961,329,409) = 1

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

GCF(961,329,409) x common factors =1 x 1 = 1

LCM(961,329,409) = ( 961 × 329 × 409 ) / 1

LCM(961,329,409) = 129313121 / 1

LCM(961,329,409) = 129313121


Lets's calculate GCF of 73,68,190

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 129313121/1

Therefore the LCM of Fractions 961/73,329/68,409/190 is 129313121

Greatest Common Factor of 73,68,190 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,68,190 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Greatest Common Factor

We found the factors 73,68,190 . The biggest common factor number is the GCF number.
So the greatest common factor 73,68,190 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 961/73, 329/68, 409/190

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 961/73, 329/68, 409/190?

Answer: LCM of Numerators as per given numbers 961/73, 329/68, 409/190 is

LCM of Numerators i.e. for 961,329,409 is 129313121

GCF of denominators i.e. for 73,68,190 is 1.

Thus, LCM of Fractions is 129313121.Finally, LCM of Fractions for 961/73, 329/68, 409/190 is 129313121.