Least Common Multiple of 7065/240, 1623/913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7065/240, 1623/913 quickly i.e. 3822165 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7065/240, 1623/913 is 3822165.

LCM(7065/240, 1623/913) = 3822165

LCM of 7065/240, 1623/913

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 7065/240,1623/913

Given numbers are 7065/240,1623/913

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 7065,1623

Least Common Multiple of Numerators i.e. LCM of 7065,1623 is 3822165.

GCF of Denominators means GCF of 240,913 as per the given fractions.

GCF of 240,913 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7065,1623

LCM of Fractions 7065/240,1623/913 is 3822165

3 7065, 1623
2355, 541

∴ So the LCM of the given numbers is 3 x 2355 x 541 = 3822165

Least Common Multiple of 7065,1623 with GCF Formula

Least Common Multiple of 7065,1623 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 7065,1623 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7065,1623) = 3

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

GCF(7065,1623) x common factors =3 x 1 = 3

LCM(7065,1623) = ( 7065 × 1623 ) / 3

LCM(7065,1623) = 11466495 / 3

LCM(7065,1623) = 3822165


Lets's calculate GCF of 240,913

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3822165/1

Therefore the LCM of Fractions 7065/240,1623/913 is 3822165

Greatest Common Factor of 240,913 By Matching Biggest Common Factor Method

Greatest Common Factor of 240,913 By Matching Biggest Common Factor Method

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1,11,83,913

Greatest Common Factor

We found the factors 240,913 . The biggest common factor number is the GCF number.
So the greatest common factor 240,913 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7065/240, 1623/913

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 7065/240, 1623/913?

Answer: LCM of Numerators as per given numbers 7065/240, 1623/913 is

LCM of Numerators i.e. for 7065,1623 is 3822165

GCF of denominators i.e. for 240,913 is 1.

Thus, LCM of Fractions is 3822165.Finally, LCM of Fractions for 7065/240, 1623/913 is 3822165.