Least Common Multiple of 825/630, 639/405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 825/630, 639/405 quickly i.e. 3905 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 825/630, 639/405 is 3905.

LCM(825/630, 639/405) = 3905

LCM of 825/630, 639/405

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 825/630,639/405

Given numbers are 825/630,639/405

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 825,639

Least Common Multiple of Numerators i.e. LCM of 825,639 is 175725.

GCF of Denominators means GCF of 630,405 as per the given fractions.

GCF of 630,405 is 45 as it is the largest common factor for these numbers.

Lets's calculate LCM of 825,639

LCM of Fractions 825/630,639/405 is 3905

3 825, 639
275, 213

∴ So the LCM of the given numbers is 3 x 275 x 213 = 175725

Least Common Multiple of 825,639 with GCF Formula

Least Common Multiple of 825,639 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 825,639 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(825,639) = 3

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

GCF(825,639) x common factors =3 x 1 = 3

LCM(825,639) = ( 825 × 639 ) / 3

LCM(825,639) = 527175 / 3

LCM(825,639) = 175725


Lets's calculate GCF of 630,405

3 630, 405
3 210, 135
5 70, 45
14, 9

∴ So the GCF of the given numbers is 3 x 3 x 5 = 45

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 175725/45

Therefore the LCM of Fractions 825/630,639/405 is 3905

Greatest Common Factor of 630,405 By Matching Biggest Common Factor Method

Greatest Common Factor of 630,405 By Matching Biggest Common Factor Method

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Greatest Common Factor

We found the factors 630,405 . The biggest common factor number is the GCF number.
So the greatest common factor 630,405 is 45.


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 825/630, 639/405

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 825/630, 639/405?

Answer: LCM of Numerators as per given numbers 825/630, 639/405 is

LCM of Numerators i.e. for 825,639 is 175725

GCF of denominators i.e. for 630,405 is 45.

Thus, LCM of Fractions is 3905.Finally, LCM of Fractions for 825/630, 639/405 is 3905.