Least Common Multiple of 36/801, 57/663, 950/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/801, 57/663, 950/162 quickly i.e. 5700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/801, 57/663, 950/162 is 5700.

LCM(36/801, 57/663, 950/162) = 5700

LCM of 36/801, 57/663, 950/162

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 36/801,57/663,950/162

Given numbers are 36/801,57/663,950/162

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 36,57,950

Least Common Multiple of Numerators i.e. LCM of 36,57,950 is 17100.

GCF of Denominators means GCF of 801,663,162 as per the given fractions.

GCF of 801,663,162 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,57,950

LCM of Fractions 36/801,57/663,950/162 is 5700

2 36, 57, 950
3 18, 57, 475
19 6, 19, 475
6, 1, 25

∴ So the LCM of the given numbers is 2 x 3 x 19 x 6 x 1 x 25 = 17100

Least Common Multiple of 36,57,950 with GCF Formula

Least Common Multiple of 36,57,950 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 36,57,950 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,57,950) = 1

common factors(in case of two or more numbers have common factors) = 114

GCF(36,57,950) x common factors =1 x 114 = 114

LCM(36,57,950) = ( 36 × 57 × 950 ) / 114

LCM(36,57,950) = 1949400 / 114

LCM(36,57,950) = 17100


Lets's calculate GCF of 801,663,162

3 801, 663, 162
267, 221, 54

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17100/3

Therefore the LCM of Fractions 36/801,57/663,950/162 is 5700

Greatest Common Factor of 801,663,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 801,663,162 By Matching Biggest Common Factor Method

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1,3,9,89,267,801

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Greatest Common Factor

We found the factors 801,663,162 . The biggest common factor number is the GCF number.
So the greatest common factor 801,663,162 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 36/801, 57/663, 950/162

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 36/801, 57/663, 950/162?

Answer: LCM of Numerators as per given numbers 36/801, 57/663, 950/162 is

LCM of Numerators i.e. for 36,57,950 is 17100

GCF of denominators i.e. for 801,663,162 is 3.

Thus, LCM of Fractions is 5700.Finally, LCM of Fractions for 36/801, 57/663, 950/162 is 5700.