Least Common Multiple of 18/300, 81/257, 990/970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/300, 81/257, 990/970 quickly i.e. 8910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/300, 81/257, 990/970 is 8910.

LCM(18/300, 81/257, 990/970) = 8910

LCM of 18/300, 81/257, 990/970

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 18/300,81/257,990/970

Given numbers are 18/300,81/257,990/970

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 18,81,990

Least Common Multiple of Numerators i.e. LCM of 18,81,990 is 8910.

GCF of Denominators means GCF of 300,257,970 as per the given fractions.

GCF of 300,257,970 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,81,990

LCM of Fractions 18/300,81/257,990/970 is 8910

2 18, 81, 990
3 9, 81, 495
3 3, 27, 165
1, 9, 55

∴ So the LCM of the given numbers is 2 x 3 x 3 x 1 x 9 x 55 = 8910

Least Common Multiple of 18,81,990 with GCF Formula

Least Common Multiple of 18,81,990 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 18,81,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,81,990) = 9

common factors(in case of two or more numbers have common factors) = 18

GCF(18,81,990) x common factors =9 x 18 = 162

LCM(18,81,990) = ( 18 × 81 × 990 ) / 162

LCM(18,81,990) = 1443420 / 162

LCM(18,81,990) = 8910


Lets's calculate GCF of 300,257,970

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8910/1

Therefore the LCM of Fractions 18/300,81/257,990/970 is 8910

Greatest Common Factor of 300,257,970 By Matching Biggest Common Factor Method

Greatest Common Factor of 300,257,970 By Matching Biggest Common Factor Method

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 257

List of positive integer factors of 257 that divides 257 without a remainder.

1,257

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Greatest Common Factor

We found the factors 300,257,970 . The biggest common factor number is the GCF number.
So the greatest common factor 300,257,970 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 18/300, 81/257, 990/970

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 18/300, 81/257, 990/970?

Answer: LCM of Numerators as per given numbers 18/300, 81/257, 990/970 is

LCM of Numerators i.e. for 18,81,990 is 8910

GCF of denominators i.e. for 300,257,970 is 1.

Thus, LCM of Fractions is 8910.Finally, LCM of Fractions for 18/300, 81/257, 990/970 is 8910.