Least Common Multiple of 5773/306, 9360/450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5773/306, 9360/450 quickly i.e. 3001960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5773/306, 9360/450 is 3001960.

LCM(5773/306, 9360/450) = 3001960

LCM of 5773/306, 9360/450

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 5773/306,9360/450

Given numbers are 5773/306,9360/450

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 5773,9360

Least Common Multiple of Numerators i.e. LCM of 5773,9360 is 54035280.

GCF of Denominators means GCF of 306,450 as per the given fractions.

GCF of 306,450 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5773,9360

LCM of Fractions 5773/306,9360/450 is 3001960

Given numbers has no common factors except 1. So, there LCM is their product i.e 54035280

Least Common Multiple of 5773,9360 with GCF Formula

Least Common Multiple of 5773,9360 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 5773,9360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5773,9360) = 1

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

GCF(5773,9360) x common factors =1 x 1 = 1

LCM(5773,9360) = ( 5773 × 9360 ) / 1

LCM(5773,9360) = 54035280 / 1

LCM(5773,9360) = 54035280


Lets's calculate GCF of 306,450

2 306, 450
3 153, 225
3 51, 75
17, 25

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54035280/18

Therefore the LCM of Fractions 5773/306,9360/450 is 3001960

Greatest Common Factor of 306,450 By Matching Biggest Common Factor Method

Greatest Common Factor of 306,450 By Matching Biggest Common Factor Method

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Greatest Common Factor

We found the factors 306,450 . The biggest common factor number is the GCF number.
So the greatest common factor 306,450 is 18.


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 5773/306, 9360/450

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 5773/306, 9360/450?

Answer: LCM of Numerators as per given numbers 5773/306, 9360/450 is

LCM of Numerators i.e. for 5773,9360 is 54035280

GCF of denominators i.e. for 306,450 is 18.

Thus, LCM of Fractions is 3001960.Finally, LCM of Fractions for 5773/306, 9360/450 is 3001960.