Least Common Multiple of 405/51, 420/1734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 405/51, 420/1734 quickly i.e. 11340/51 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 405/51, 420/1734 is 11340/51.

LCM(405/51, 420/1734) = 11340/51

LCM of 405/51, 420/1734

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 405/51,420/1734

Given numbers are 405/51,420/1734

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 405,420

Least Common Multiple of Numerators i.e. LCM of 405,420 is 11340.

GCF of Denominators means GCF of 51,1734 as per the given fractions.

GCF of 51,1734 is 51 as it is the largest common factor for these numbers.

Lets's calculate LCM of 405,420

LCM of Fractions 405/51,420/1734 is 11340/51

3 405, 420
5 135, 140
27, 28

∴ So the LCM of the given numbers is 3 x 5 x 27 x 28 = 11340

Least Common Multiple of 405,420 with GCF Formula

Least Common Multiple of 405,420 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 405,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(405,420) = 15

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

GCF(405,420) x common factors =15 x 1 = 15

LCM(405,420) = ( 405 × 420 ) / 15

LCM(405,420) = 170100 / 15

LCM(405,420) = 11340


Lets's calculate GCF of 51,1734

3 51, 1734
17 17, 578
1, 34

∴ So the GCF of the given numbers is 3 x 17 = 51

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11340/51

Therefore the LCM of Fractions 405/51,420/1734 is 11340/51

Greatest Common Factor of 51,1734 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,1734 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 1734

List of positive integer factors of 1734 that divides 1734 without a remainder.

1,2,3,6,17,34,51,102,289,578,867,1734

Greatest Common Factor

We found the factors 51,1734 . The biggest common factor number is the GCF number.
So the greatest common factor 51,1734 is 51.


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 405/51, 420/1734

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 405/51, 420/1734?

Answer: LCM of Numerators as per given numbers 405/51, 420/1734 is

LCM of Numerators i.e. for 405,420 is 11340

GCF of denominators i.e. for 51,1734 is 51.

Thus, LCM of Fractions is 11340/51.Finally, LCM of Fractions for 405/51, 420/1734 is 11340/51.