Least Common Multiple of 18/460, 107/667, 851/794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/460, 107/667, 851/794 quickly i.e. 1639026 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/460, 107/667, 851/794 is 1639026.

LCM(18/460, 107/667, 851/794) = 1639026

LCM of 18/460, 107/667, 851/794

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 18/460,107/667,851/794

Given numbers are 18/460,107/667,851/794

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 18,107,851

Least Common Multiple of Numerators i.e. LCM of 18,107,851 is 1639026.

GCF of Denominators means GCF of 460,667,794 as per the given fractions.

GCF of 460,667,794 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,107,851

LCM of Fractions 18/460,107/667,851/794 is 1639026

Given numbers has no common factors except 1. So, there LCM is their product i.e 1639026

Least Common Multiple of 18,107,851 with GCF Formula

Least Common Multiple of 18,107,851 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 18,107,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,107,851) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(18,107,851) x common factors =1 x 1 = 1

LCM(18,107,851) = ( 18 × 107 × 851 ) / 1

LCM(18,107,851) = 1639026 / 1

LCM(18,107,851) = 1639026


Lets's calculate GCF of 460,667,794

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1639026/1

Therefore the LCM of Fractions 18/460,107/667,851/794 is 1639026

Greatest Common Factor of 460,667,794 By Matching Biggest Common Factor Method

Greatest Common Factor of 460,667,794 By Matching Biggest Common Factor Method

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Greatest Common Factor

We found the factors 460,667,794 . The biggest common factor number is the GCF number.
So the greatest common factor 460,667,794 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 18/460, 107/667, 851/794

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 18/460, 107/667, 851/794?

Answer: LCM of Numerators as per given numbers 18/460, 107/667, 851/794 is

LCM of Numerators i.e. for 18,107,851 is 1639026

GCF of denominators i.e. for 460,667,794 is 1.

Thus, LCM of Fractions is 1639026.Finally, LCM of Fractions for 18/460, 107/667, 851/794 is 1639026.