Least Common Multiple of 450/30, 655/34, 312/365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 450/30, 655/34, 312/365 quickly i.e. 3065400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 450/30, 655/34, 312/365 is 3065400.

LCM(450/30, 655/34, 312/365) = 3065400

LCM of 450/30, 655/34, 312/365

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 450/30,655/34,312/365

Given numbers are 450/30,655/34,312/365

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 450,655,312

Least Common Multiple of Numerators i.e. LCM of 450,655,312 is 3065400.

GCF of Denominators means GCF of 30,34,365 as per the given fractions.

GCF of 30,34,365 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 450,655,312

LCM of Fractions 450/30,655/34,312/365 is 3065400

2 450, 655, 312
3 225, 655, 156
5 75, 655, 52
15, 131, 52

∴ So the LCM of the given numbers is 2 x 3 x 5 x 15 x 131 x 52 = 3065400

Least Common Multiple of 450,655,312 with GCF Formula

Least Common Multiple of 450,655,312 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 450,655,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(450,655,312) = 1

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

GCF(450,655,312) x common factors =1 x 30 = 30

LCM(450,655,312) = ( 450 × 655 × 312 ) / 30

LCM(450,655,312) = 91962000 / 30

LCM(450,655,312) = 3065400


Lets's calculate GCF of 30,34,365

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3065400/1

Therefore the LCM of Fractions 450/30,655/34,312/365 is 3065400

Greatest Common Factor of 30,34,365 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,34,365 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Greatest Common Factor

We found the factors 30,34,365 . The biggest common factor number is the GCF number.
So the greatest common factor 30,34,365 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 450/30, 655/34, 312/365

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 450/30, 655/34, 312/365?

Answer: LCM of Numerators as per given numbers 450/30, 655/34, 312/365 is

LCM of Numerators i.e. for 450,655,312 is 3065400

GCF of denominators i.e. for 30,34,365 is 1.

Thus, LCM of Fractions is 3065400.Finally, LCM of Fractions for 450/30, 655/34, 312/365 is 3065400.