Least Common Multiple of 18/49, 15/255, 361/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/49, 15/255, 361/715 quickly i.e. 32490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/49, 15/255, 361/715 is 32490.

LCM(18/49, 15/255, 361/715) = 32490

LCM of 18/49, 15/255, 361/715

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 18/49,15/255,361/715

Given numbers are 18/49,15/255,361/715

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 18,15,361

Least Common Multiple of Numerators i.e. LCM of 18,15,361 is 32490.

GCF of Denominators means GCF of 49,255,715 as per the given fractions.

GCF of 49,255,715 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,15,361

LCM of Fractions 18/49,15/255,361/715 is 32490

3 18, 15, 361
6, 5, 361

∴ So the LCM of the given numbers is 3 x 6 x 5 x 361 = 32490

Least Common Multiple of 18,15,361 with GCF Formula

Least Common Multiple of 18,15,361 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 18,15,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,15,361) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(18,15,361) x common factors =1 x 3 = 3

LCM(18,15,361) = ( 18 × 15 × 361 ) / 3

LCM(18,15,361) = 97470 / 3

LCM(18,15,361) = 32490


Lets's calculate GCF of 49,255,715

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32490/1

Therefore the LCM of Fractions 18/49,15/255,361/715 is 32490

Greatest Common Factor of 49,255,715 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,255,715 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Greatest Common Factor

We found the factors 49,255,715 . The biggest common factor number is the GCF number.
So the greatest common factor 49,255,715 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 18/49, 15/255, 361/715

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 18/49, 15/255, 361/715?

Answer: LCM of Numerators as per given numbers 18/49, 15/255, 361/715 is

LCM of Numerators i.e. for 18,15,361 is 32490

GCF of denominators i.e. for 49,255,715 is 1.

Thus, LCM of Fractions is 32490.Finally, LCM of Fractions for 18/49, 15/255, 361/715 is 32490.