Least Common Multiple of 150/52, 162/5786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 150/52, 162/5786 quickly i.e. 2025 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 150/52, 162/5786 is 2025.

LCM(150/52, 162/5786) = 2025

LCM of 150/52, 162/5786

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 150/52,162/5786

Given numbers are 150/52,162/5786

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 150,162

Least Common Multiple of Numerators i.e. LCM of 150,162 is 4050.

GCF of Denominators means GCF of 52,5786 as per the given fractions.

GCF of 52,5786 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 150,162

LCM of Fractions 150/52,162/5786 is 2025

2 150, 162
3 75, 81
25, 27

∴ So the LCM of the given numbers is 2 x 3 x 25 x 27 = 4050

Least Common Multiple of 150,162 with GCF Formula

Least Common Multiple of 150,162 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 150,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(150,162) = 6

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

GCF(150,162) x common factors =6 x 1 = 6

LCM(150,162) = ( 150 × 162 ) / 6

LCM(150,162) = 24300 / 6

LCM(150,162) = 4050


Lets's calculate GCF of 52,5786

2 52, 5786
26, 2893

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4050/2

Therefore the LCM of Fractions 150/52,162/5786 is 2025

Greatest Common Factor of 52,5786 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,5786 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 5786

List of positive integer factors of 5786 that divides 5786 without a remainder.

1,2,11,22,263,526,2893,5786

Greatest Common Factor

We found the factors 52,5786 . The biggest common factor number is the GCF number.
So the greatest common factor 52,5786 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 150/52, 162/5786

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 150/52, 162/5786?

Answer: LCM of Numerators as per given numbers 150/52, 162/5786 is

LCM of Numerators i.e. for 150,162 is 4050

GCF of denominators i.e. for 52,5786 is 2.

Thus, LCM of Fractions is 2025.Finally, LCM of Fractions for 150/52, 162/5786 is 2025.