Least Common Multiple of 18/300, 45/698, 422/757

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/300, 45/698, 422/757 quickly i.e. 18990 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, 45/698, 422/757 is 18990.

LCM(18/300, 45/698, 422/757) = 18990

LCM of 18/300, 45/698, 422/757

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 18/300,45/698,422/757

Given numbers are 18/300,45/698,422/757

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 18,45,422

Least Common Multiple of Numerators i.e. LCM of 18,45,422 is 18990.

GCF of Denominators means GCF of 300,698,757 as per the given fractions.

GCF of 300,698,757 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,45,422

LCM of Fractions 18/300,45/698,422/757 is 18990

2 18, 45, 422
3 9, 45, 211
3 3, 15, 211
1, 5, 211

∴ So the LCM of the given numbers is 2 x 3 x 3 x 1 x 5 x 211 = 18990

Least Common Multiple of 18,45,422 with GCF Formula

Least Common Multiple of 18,45,422 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 18,45,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,45,422) = 1

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

GCF(18,45,422) x common factors =1 x 18 = 18

LCM(18,45,422) = ( 18 × 45 × 422 ) / 18

LCM(18,45,422) = 341820 / 18

LCM(18,45,422) = 18990


Lets's calculate GCF of 300,698,757

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18990/1

Therefore the LCM of Fractions 18/300,45/698,422/757 is 18990

Greatest Common Factor of 300,698,757 By Matching Biggest Common Factor Method

Greatest Common Factor of 300,698,757 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 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Greatest Common Factor

We found the factors 300,698,757 . The biggest common factor number is the GCF number.
So the greatest common factor 300,698,757 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, 45/698, 422/757

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, 45/698, 422/757?

Answer: LCM of Numerators as per given numbers 18/300, 45/698, 422/757 is

LCM of Numerators i.e. for 18,45,422 is 18990

GCF of denominators i.e. for 300,698,757 is 1.

Thus, LCM of Fractions is 18990.Finally, LCM of Fractions for 18/300, 45/698, 422/757 is 18990.