Least Common Multiple of 450/17, 135/10, 510/68

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 450/17, 135/10, 510/68 quickly i.e. 22950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 450/17, 135/10, 510/68 is 22950.

LCM(450/17, 135/10, 510/68) = 22950

LCM of 450/17, 135/10, 510/68

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 450/17,135/10,510/68

Given numbers are 450/17,135/10,510/68

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 450,135,510

Least Common Multiple of Numerators i.e. LCM of 450,135,510 is 22950.

GCF of Denominators means GCF of 17,10,68 as per the given fractions.

GCF of 17,10,68 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 450,135,510

LCM of Fractions 450/17,135/10,510/68 is 22950

2 450, 135, 510
3 225, 135, 255
3 75, 45, 85
5 25, 15, 85
5, 3, 17

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 5 x 3 x 17 = 22950

Least Common Multiple of 450,135,510 with GCF Formula

Least Common Multiple of 450,135,510 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 450,135,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(450,135,510) = 15

common factors(in case of two or more numbers have common factors) = 90

GCF(450,135,510) x common factors =15 x 90 = 1350

LCM(450,135,510) = ( 450 × 135 × 510 ) / 1350

LCM(450,135,510) = 30982500 / 1350

LCM(450,135,510) = 22950


Lets's calculate GCF of 17,10,68

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22950/1

Therefore the LCM of Fractions 450/17,135/10,510/68 is 22950

Greatest Common Factor of 17,10,68 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,10,68 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Greatest Common Factor

We found the factors 17,10,68 . The biggest common factor number is the GCF number.
So the greatest common factor 17,10,68 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 450/17, 135/10, 510/68

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 450/17, 135/10, 510/68?

Answer: LCM of Numerators as per given numbers 450/17, 135/10, 510/68 is

LCM of Numerators i.e. for 450,135,510 is 22950

GCF of denominators i.e. for 17,10,68 is 1.

Thus, LCM of Fractions is 22950.Finally, LCM of Fractions for 450/17, 135/10, 510/68 is 22950.