Least Common Multiple of 414/25, 405/70, 666/507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 414/25, 405/70, 666/507 quickly i.e. 689310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 414/25, 405/70, 666/507 is 689310.

LCM(414/25, 405/70, 666/507) = 689310

LCM of 414/25, 405/70, 666/507

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 414/25,405/70,666/507

Given numbers are 414/25,405/70,666/507

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 414,405,666

Least Common Multiple of Numerators i.e. LCM of 414,405,666 is 689310.

GCF of Denominators means GCF of 25,70,507 as per the given fractions.

GCF of 25,70,507 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 414,405,666

LCM of Fractions 414/25,405/70,666/507 is 689310

2 414, 405, 666
3 207, 405, 333
3 69, 135, 111
23, 45, 37

∴ So the LCM of the given numbers is 2 x 3 x 3 x 23 x 45 x 37 = 689310

Least Common Multiple of 414,405,666 with GCF Formula

Least Common Multiple of 414,405,666 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 414,405,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,405,666) = 9

common factors(in case of two or more numbers have common factors) = 18

GCF(414,405,666) x common factors =9 x 18 = 162

LCM(414,405,666) = ( 414 × 405 × 666 ) / 162

LCM(414,405,666) = 111668220 / 162

LCM(414,405,666) = 689310


Lets's calculate GCF of 25,70,507

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 689310/1

Therefore the LCM of Fractions 414/25,405/70,666/507 is 689310

Greatest Common Factor of 25,70,507 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,70,507 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Greatest Common Factor

We found the factors 25,70,507 . The biggest common factor number is the GCF number.
So the greatest common factor 25,70,507 is 1.


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 414/25, 405/70, 666/507

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 414/25, 405/70, 666/507?

Answer: LCM of Numerators as per given numbers 414/25, 405/70, 666/507 is

LCM of Numerators i.e. for 414,405,666 is 689310

GCF of denominators i.e. for 25,70,507 is 1.

Thus, LCM of Fractions is 689310.Finally, LCM of Fractions for 414/25, 405/70, 666/507 is 689310.