Least Common Multiple of 861/89, 958/24, 966/190

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 861/89, 958/24, 966/190 quickly i.e. 18971274 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 861/89, 958/24, 966/190 is 18971274.

LCM(861/89, 958/24, 966/190) = 18971274

LCM of 861/89, 958/24, 966/190

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 861/89,958/24,966/190

Given numbers are 861/89,958/24,966/190

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 861,958,966

Least Common Multiple of Numerators i.e. LCM of 861,958,966 is 18971274.

GCF of Denominators means GCF of 89,24,190 as per the given fractions.

GCF of 89,24,190 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 861,958,966

LCM of Fractions 861/89,958/24,966/190 is 18971274

2 861, 958, 966
3 861, 479, 483
7 287, 479, 161
41, 479, 23

∴ So the LCM of the given numbers is 2 x 3 x 7 x 41 x 479 x 23 = 18971274

Least Common Multiple of 861,958,966 with GCF Formula

Least Common Multiple of 861,958,966 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 861,958,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(861,958,966) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(861,958,966) x common factors =1 x 42 = 42

LCM(861,958,966) = ( 861 × 958 × 966 ) / 42

LCM(861,958,966) = 796793508 / 42

LCM(861,958,966) = 18971274


Lets's calculate GCF of 89,24,190

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18971274/1

Therefore the LCM of Fractions 861/89,958/24,966/190 is 18971274

Greatest Common Factor of 89,24,190 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,24,190 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

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

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 89,24,190 . The biggest common factor number is the GCF number.
So the greatest common factor 89,24,190 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 861/89, 958/24, 966/190

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 861/89, 958/24, 966/190?

Answer: LCM of Numerators as per given numbers 861/89, 958/24, 966/190 is

LCM of Numerators i.e. for 861,958,966 is 18971274

GCF of denominators i.e. for 89,24,190 is 1.

Thus, LCM of Fractions is 18971274.Finally, LCM of Fractions for 861/89, 958/24, 966/190 is 18971274.