Least Common Multiple of 825/812, 165/274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 825/812, 165/274 quickly i.e. 825/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 825/812, 165/274 is 825/2.

LCM(825/812, 165/274) = 825/2

LCM of 825/812, 165/274

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 825/812,165/274

Given numbers are 825/812,165/274

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 825,165

Least Common Multiple of Numerators i.e. LCM of 825,165 is 825.

GCF of Denominators means GCF of 812,274 as per the given fractions.

GCF of 812,274 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 825,165

LCM of Fractions 825/812,165/274 is 825/2

3 825, 165
5 275, 55
11 11, 55
1, 5

∴ So the LCM of the given numbers is 3 x 5 x 11 x 1 x 5 = 825

Least Common Multiple of 825,165 with GCF Formula

Least Common Multiple of 825,165 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 825,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(825,165) = 165

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

GCF(825,165) x common factors =165 x 1 = 165

LCM(825,165) = ( 825 × 165 ) / 165

LCM(825,165) = 136125 / 165

LCM(825,165) = 825


Lets's calculate GCF of 812,274

2 812, 274
406, 137

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 825/2

Therefore the LCM of Fractions 825/812,165/274 is 825/2

Greatest Common Factor of 812,274 By Matching Biggest Common Factor Method

Greatest Common Factor of 812,274 By Matching Biggest Common Factor Method

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Greatest Common Factor

We found the factors 812,274 . The biggest common factor number is the GCF number.
So the greatest common factor 812,274 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 825/812, 165/274

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 825/812, 165/274?

Answer: LCM of Numerators as per given numbers 825/812, 165/274 is

LCM of Numerators i.e. for 825,165 is 825

GCF of denominators i.e. for 812,274 is 2.

Thus, LCM of Fractions is 825/2.Finally, LCM of Fractions for 825/812, 165/274 is 825/2.