Least Common Multiple of 3535/720, 4557/405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3535/720, 4557/405 quickly i.e. 2301285/45 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3535/720, 4557/405 is 2301285/45.

LCM(3535/720, 4557/405) = 2301285/45

LCM of 3535/720, 4557/405

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 3535/720,4557/405

Given numbers are 3535/720,4557/405

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 3535,4557

Least Common Multiple of Numerators i.e. LCM of 3535,4557 is 2301285.

GCF of Denominators means GCF of 720,405 as per the given fractions.

GCF of 720,405 is 45 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3535,4557

LCM of Fractions 3535/720,4557/405 is 2301285/45

7 3535, 4557
505, 651

∴ So the LCM of the given numbers is 7 x 505 x 651 = 2301285

Least Common Multiple of 3535,4557 with GCF Formula

Least Common Multiple of 3535,4557 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 3535,4557 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3535,4557) = 7

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

GCF(3535,4557) x common factors =7 x 1 = 7

LCM(3535,4557) = ( 3535 × 4557 ) / 7

LCM(3535,4557) = 16108995 / 7

LCM(3535,4557) = 2301285


Lets's calculate GCF of 720,405

3 720, 405
3 240, 135
5 80, 45
16, 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 = 2301285/45

Therefore the LCM of Fractions 3535/720,4557/405 is 2301285/45

Greatest Common Factor of 720,405 By Matching Biggest Common Factor Method

Greatest Common Factor of 720,405 By Matching Biggest Common Factor Method

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

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 720,405 . The biggest common factor number is the GCF number.
So the greatest common factor 720,405 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 3535/720, 4557/405

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 3535/720, 4557/405?

Answer: LCM of Numerators as per given numbers 3535/720, 4557/405 is

LCM of Numerators i.e. for 3535,4557 is 2301285

GCF of denominators i.e. for 720,405 is 45.

Thus, LCM of Fractions is 2301285/45.Finally, LCM of Fractions for 3535/720, 4557/405 is 2301285/45.