Least Common Multiple of 309/945, 450/450, 130/472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 309/945, 450/450, 130/472 quickly i.e. 602550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 309/945, 450/450, 130/472 is 602550.

LCM(309/945, 450/450, 130/472) = 602550

LCM of 309/945, 450/450, 130/472

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 309/945,450/450,130/472

Given numbers are 309/945,450/450,130/472

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 309,450,130

Least Common Multiple of Numerators i.e. LCM of 309,450,130 is 602550.

GCF of Denominators means GCF of 945,450,472 as per the given fractions.

GCF of 945,450,472 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 309,450,130

LCM of Fractions 309/945,450/450,130/472 is 602550

2 309, 450, 130
3 309, 225, 65
5 103, 75, 65
103, 15, 13

∴ So the LCM of the given numbers is 2 x 3 x 5 x 103 x 15 x 13 = 602550

Least Common Multiple of 309,450,130 with GCF Formula

Least Common Multiple of 309,450,130 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 309,450,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(309,450,130) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(309,450,130) x common factors =1 x 30 = 30

LCM(309,450,130) = ( 309 × 450 × 130 ) / 30

LCM(309,450,130) = 18076500 / 30

LCM(309,450,130) = 602550


Lets's calculate GCF of 945,450,472

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 602550/1

Therefore the LCM of Fractions 309/945,450/450,130/472 is 602550

Greatest Common Factor of 945,450,472 By Matching Biggest Common Factor Method

Greatest Common Factor of 945,450,472 By Matching Biggest Common Factor Method

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

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

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Greatest Common Factor

We found the factors 945,450,472 . The biggest common factor number is the GCF number.
So the greatest common factor 945,450,472 is 1.


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 309/945, 450/450, 130/472

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 309/945, 450/450, 130/472?

Answer: LCM of Numerators as per given numbers 309/945, 450/450, 130/472 is

LCM of Numerators i.e. for 309,450,130 is 602550

GCF of denominators i.e. for 945,450,472 is 1.

Thus, LCM of Fractions is 602550.Finally, LCM of Fractions for 309/945, 450/450, 130/472 is 602550.