Least Common Multiple of 18/48, 975/41, 595/340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/48, 975/41, 595/340 quickly i.e. 696150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/48, 975/41, 595/340 is 696150.

LCM(18/48, 975/41, 595/340) = 696150

LCM of 18/48, 975/41, 595/340

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 18/48,975/41,595/340

Given numbers are 18/48,975/41,595/340

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 18,975,595

Least Common Multiple of Numerators i.e. LCM of 18,975,595 is 696150.

GCF of Denominators means GCF of 48,41,340 as per the given fractions.

GCF of 48,41,340 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,975,595

LCM of Fractions 18/48,975/41,595/340 is 696150

3 18, 975, 595
5 6, 325, 595
6, 65, 119

∴ So the LCM of the given numbers is 3 x 5 x 6 x 65 x 119 = 696150

Least Common Multiple of 18,975,595 with GCF Formula

Least Common Multiple of 18,975,595 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 18,975,595 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,975,595) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(18,975,595) x common factors =1 x 15 = 15

LCM(18,975,595) = ( 18 × 975 × 595 ) / 15

LCM(18,975,595) = 10442250 / 15

LCM(18,975,595) = 696150


Lets's calculate GCF of 48,41,340

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 696150/1

Therefore the LCM of Fractions 18/48,975/41,595/340 is 696150

Greatest Common Factor of 48,41,340 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,41,340 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Greatest Common Factor

We found the factors 48,41,340 . The biggest common factor number is the GCF number.
So the greatest common factor 48,41,340 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 18/48, 975/41, 595/340

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 18/48, 975/41, 595/340?

Answer: LCM of Numerators as per given numbers 18/48, 975/41, 595/340 is

LCM of Numerators i.e. for 18,975,595 is 696150

GCF of denominators i.e. for 48,41,340 is 1.

Thus, LCM of Fractions is 696150.Finally, LCM of Fractions for 18/48, 975/41, 595/340 is 696150.