Least Common Multiple of 18/846, 95/324, 915/430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/846, 95/324, 915/430 quickly i.e. 52155 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/846, 95/324, 915/430 is 52155.

LCM(18/846, 95/324, 915/430) = 52155

LCM of 18/846, 95/324, 915/430

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 18/846,95/324,915/430

Given numbers are 18/846,95/324,915/430

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 18,95,915

Least Common Multiple of Numerators i.e. LCM of 18,95,915 is 104310.

GCF of Denominators means GCF of 846,324,430 as per the given fractions.

GCF of 846,324,430 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,95,915

LCM of Fractions 18/846,95/324,915/430 is 52155

3 18, 95, 915
5 6, 95, 305
6, 19, 61

∴ So the LCM of the given numbers is 3 x 5 x 6 x 19 x 61 = 104310

Least Common Multiple of 18,95,915 with GCF Formula

Least Common Multiple of 18,95,915 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 18,95,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,95,915) = 1

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

GCF(18,95,915) x common factors =1 x 15 = 15

LCM(18,95,915) = ( 18 × 95 × 915 ) / 15

LCM(18,95,915) = 1564650 / 15

LCM(18,95,915) = 104310


Lets's calculate GCF of 846,324,430

2 846, 324, 430
423, 162, 215

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104310/2

Therefore the LCM of Fractions 18/846,95/324,915/430 is 52155

Greatest Common Factor of 846,324,430 By Matching Biggest Common Factor Method

Greatest Common Factor of 846,324,430 By Matching Biggest Common Factor Method

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Greatest Common Factor

We found the factors 846,324,430 . The biggest common factor number is the GCF number.
So the greatest common factor 846,324,430 is 2.


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 18/846, 95/324, 915/430

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 18/846, 95/324, 915/430?

Answer: LCM of Numerators as per given numbers 18/846, 95/324, 915/430 is

LCM of Numerators i.e. for 18,95,915 is 104310

GCF of denominators i.e. for 846,324,430 is 2.

Thus, LCM of Fractions is 52155.Finally, LCM of Fractions for 18/846, 95/324, 915/430 is 52155.