Least Common Multiple of 690/440, 4215/1725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 690/440, 4215/1725 quickly i.e. 38778 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 690/440, 4215/1725 is 38778.

LCM(690/440, 4215/1725) = 38778

LCM of 690/440, 4215/1725

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 690/440,4215/1725

Given numbers are 690/440,4215/1725

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 690,4215

Least Common Multiple of Numerators i.e. LCM of 690,4215 is 193890.

GCF of Denominators means GCF of 440,1725 as per the given fractions.

GCF of 440,1725 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 690,4215

LCM of Fractions 690/440,4215/1725 is 38778

3 690, 4215
5 230, 1405
46, 281

∴ So the LCM of the given numbers is 3 x 5 x 46 x 281 = 193890

Least Common Multiple of 690,4215 with GCF Formula

Least Common Multiple of 690,4215 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 690,4215 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(690,4215) = 15

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

GCF(690,4215) x common factors =15 x 1 = 15

LCM(690,4215) = ( 690 × 4215 ) / 15

LCM(690,4215) = 2908350 / 15

LCM(690,4215) = 193890


Lets's calculate GCF of 440,1725

5 440, 1725
88, 345

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 193890/5

Therefore the LCM of Fractions 690/440,4215/1725 is 38778

Greatest Common Factor of 440,1725 By Matching Biggest Common Factor Method

Greatest Common Factor of 440,1725 By Matching Biggest Common Factor Method

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 1725

List of positive integer factors of 1725 that divides 1725 without a remainder.

1,3,5,15,23,25,69,75,115,345,575,1725

Greatest Common Factor

We found the factors 440,1725 . The biggest common factor number is the GCF number.
So the greatest common factor 440,1725 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 690/440, 4215/1725

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 690/440, 4215/1725?

Answer: LCM of Numerators as per given numbers 690/440, 4215/1725 is

LCM of Numerators i.e. for 690,4215 is 193890

GCF of denominators i.e. for 440,1725 is 5.

Thus, LCM of Fractions is 38778.Finally, LCM of Fractions for 690/440, 4215/1725 is 38778.