Least Common Multiple of 84/894, 75/866, 363/158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/894, 75/866, 363/158 quickly i.e. 127050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/894, 75/866, 363/158 is 127050.

LCM(84/894, 75/866, 363/158) = 127050

LCM of 84/894, 75/866, 363/158

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 84/894,75/866,363/158

Given numbers are 84/894,75/866,363/158

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 84,75,363

Least Common Multiple of Numerators i.e. LCM of 84,75,363 is 254100.

GCF of Denominators means GCF of 894,866,158 as per the given fractions.

GCF of 894,866,158 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,75,363

LCM of Fractions 84/894,75/866,363/158 is 127050

3 84, 75, 363
28, 25, 121

∴ So the LCM of the given numbers is 3 x 28 x 25 x 121 = 254100

Least Common Multiple of 84,75,363 with GCF Formula

Least Common Multiple of 84,75,363 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 84,75,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,75,363) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(84,75,363) x common factors =3 x 3 = 9

LCM(84,75,363) = ( 84 × 75 × 363 ) / 9

LCM(84,75,363) = 2286900 / 9

LCM(84,75,363) = 254100


Lets's calculate GCF of 894,866,158

2 894, 866, 158
447, 433, 79

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 254100/2

Therefore the LCM of Fractions 84/894,75/866,363/158 is 127050

Greatest Common Factor of 894,866,158 By Matching Biggest Common Factor Method

Greatest Common Factor of 894,866,158 By Matching Biggest Common Factor Method

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Greatest Common Factor

We found the factors 894,866,158 . The biggest common factor number is the GCF number.
So the greatest common factor 894,866,158 is 2.


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 84/894, 75/866, 363/158

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 84/894, 75/866, 363/158?

Answer: LCM of Numerators as per given numbers 84/894, 75/866, 363/158 is

LCM of Numerators i.e. for 84,75,363 is 254100

GCF of denominators i.e. for 894,866,158 is 2.

Thus, LCM of Fractions is 127050.Finally, LCM of Fractions for 84/894, 75/866, 363/158 is 127050.