Least Common Multiple of 360/690, 415/453

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 360/690, 415/453 quickly i.e. 9960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 360/690, 415/453 is 9960.

LCM(360/690, 415/453) = 9960

LCM of 360/690, 415/453

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 360/690,415/453

Given numbers are 360/690,415/453

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 360,415

Least Common Multiple of Numerators i.e. LCM of 360,415 is 29880.

GCF of Denominators means GCF of 690,453 as per the given fractions.

GCF of 690,453 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 360,415

LCM of Fractions 360/690,415/453 is 9960

5 360, 415
72, 83

∴ So the LCM of the given numbers is 5 x 72 x 83 = 29880

Least Common Multiple of 360,415 with GCF Formula

Least Common Multiple of 360,415 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 360,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,415) = 5

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

GCF(360,415) x common factors =5 x 1 = 5

LCM(360,415) = ( 360 × 415 ) / 5

LCM(360,415) = 149400 / 5

LCM(360,415) = 29880


Lets's calculate GCF of 690,453

3 690, 453
230, 151

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29880/3

Therefore the LCM of Fractions 360/690,415/453 is 9960

Greatest Common Factor of 690,453 By Matching Biggest Common Factor Method

Greatest Common Factor of 690,453 By Matching Biggest Common Factor Method

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 453

List of positive integer factors of 453 that divides 453 without a remainder.

1,3,151,453

Greatest Common Factor

We found the factors 690,453 . The biggest common factor number is the GCF number.
So the greatest common factor 690,453 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 360/690, 415/453

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 360/690, 415/453?

Answer: LCM of Numerators as per given numbers 360/690, 415/453 is

LCM of Numerators i.e. for 360,415 is 29880

GCF of denominators i.e. for 690,453 is 3.

Thus, LCM of Fractions is 9960.Finally, LCM of Fractions for 360/690, 415/453 is 9960.