Least Common Multiple of 17/486, 37/891, 450/238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/486, 37/891, 450/238 quickly i.e. 283050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/486, 37/891, 450/238 is 283050.

LCM(17/486, 37/891, 450/238) = 283050

LCM of 17/486, 37/891, 450/238

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 17/486,37/891,450/238

Given numbers are 17/486,37/891,450/238

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 17,37,450

Least Common Multiple of Numerators i.e. LCM of 17,37,450 is 283050.

GCF of Denominators means GCF of 486,891,238 as per the given fractions.

GCF of 486,891,238 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,37,450

LCM of Fractions 17/486,37/891,450/238 is 283050

Given numbers has no common factors except 1. So, there LCM is their product i.e 283050

Least Common Multiple of 17,37,450 with GCF Formula

Least Common Multiple of 17,37,450 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 17,37,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,37,450) = 1

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

GCF(17,37,450) x common factors =1 x 1 = 1

LCM(17,37,450) = ( 17 × 37 × 450 ) / 1

LCM(17,37,450) = 283050 / 1

LCM(17,37,450) = 283050


Lets's calculate GCF of 486,891,238

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 283050/1

Therefore the LCM of Fractions 17/486,37/891,450/238 is 283050

Greatest Common Factor of 486,891,238 By Matching Biggest Common Factor Method

Greatest Common Factor of 486,891,238 By Matching Biggest Common Factor Method

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Greatest Common Factor

We found the factors 486,891,238 . The biggest common factor number is the GCF number.
So the greatest common factor 486,891,238 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 17/486, 37/891, 450/238

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 17/486, 37/891, 450/238?

Answer: LCM of Numerators as per given numbers 17/486, 37/891, 450/238 is

LCM of Numerators i.e. for 17,37,450 is 283050

GCF of denominators i.e. for 486,891,238 is 1.

Thus, LCM of Fractions is 283050.Finally, LCM of Fractions for 17/486, 37/891, 450/238 is 283050.