Least Common Multiple of 669/40, 810/3525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 669/40, 810/3525 quickly i.e. 36126 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 669/40, 810/3525 is 36126.

LCM(669/40, 810/3525) = 36126

LCM of 669/40, 810/3525

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 669/40,810/3525

Given numbers are 669/40,810/3525

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 669,810

Least Common Multiple of Numerators i.e. LCM of 669,810 is 180630.

GCF of Denominators means GCF of 40,3525 as per the given fractions.

GCF of 40,3525 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 669,810

LCM of Fractions 669/40,810/3525 is 36126

3 669, 810
223, 270

∴ So the LCM of the given numbers is 3 x 223 x 270 = 180630

Least Common Multiple of 669,810 with GCF Formula

Least Common Multiple of 669,810 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 669,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(669,810) = 3

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

GCF(669,810) x common factors =3 x 1 = 3

LCM(669,810) = ( 669 × 810 ) / 3

LCM(669,810) = 541890 / 3

LCM(669,810) = 180630


Lets's calculate GCF of 40,3525

5 40, 3525
8, 705

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 180630/5

Therefore the LCM of Fractions 669/40,810/3525 is 36126

Greatest Common Factor of 40,3525 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,3525 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 3525

List of positive integer factors of 3525 that divides 3525 without a remainder.

1,3,5,15,25,47,75,141,235,705,1175,3525

Greatest Common Factor

We found the factors 40,3525 . The biggest common factor number is the GCF number.
So the greatest common factor 40,3525 is 5.


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 669/40, 810/3525

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 669/40, 810/3525?

Answer: LCM of Numerators as per given numbers 669/40, 810/3525 is

LCM of Numerators i.e. for 669,810 is 180630

GCF of denominators i.e. for 40,3525 is 5.

Thus, LCM of Fractions is 36126.Finally, LCM of Fractions for 669/40, 810/3525 is 36126.