Least Common Multiple of 435/48, 567/2007

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 435/48, 567/2007 quickly i.e. 27405 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 435/48, 567/2007 is 27405.

LCM(435/48, 567/2007) = 27405

LCM of 435/48, 567/2007

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 435/48,567/2007

Given numbers are 435/48,567/2007

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 435,567

Least Common Multiple of Numerators i.e. LCM of 435,567 is 82215.

GCF of Denominators means GCF of 48,2007 as per the given fractions.

GCF of 48,2007 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 435,567

LCM of Fractions 435/48,567/2007 is 27405

3 435, 567
145, 189

∴ So the LCM of the given numbers is 3 x 145 x 189 = 82215

Least Common Multiple of 435,567 with GCF Formula

Least Common Multiple of 435,567 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 435,567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(435,567) = 3

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

GCF(435,567) x common factors =3 x 1 = 3

LCM(435,567) = ( 435 × 567 ) / 3

LCM(435,567) = 246645 / 3

LCM(435,567) = 82215


Lets's calculate GCF of 48,2007

3 48, 2007
16, 669

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82215/3

Therefore the LCM of Fractions 435/48,567/2007 is 27405

Greatest Common Factor of 48,2007 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,2007 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 2007

List of positive integer factors of 2007 that divides 2007 without a remainder.

1,3,9,223,669,2007

Greatest Common Factor

We found the factors 48,2007 . The biggest common factor number is the GCF number.
So the greatest common factor 48,2007 is 3.


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 435/48, 567/2007

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 435/48, 567/2007?

Answer: LCM of Numerators as per given numbers 435/48, 567/2007 is

LCM of Numerators i.e. for 435,567 is 82215

GCF of denominators i.e. for 48,2007 is 3.

Thus, LCM of Fractions is 27405.Finally, LCM of Fractions for 435/48, 567/2007 is 27405.