Least Common Multiple of 1987/460, 1516/794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1987/460, 1516/794 quickly i.e. 1506146 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1987/460, 1516/794 is 1506146.

LCM(1987/460, 1516/794) = 1506146

LCM of 1987/460, 1516/794

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 1987/460,1516/794

Given numbers are 1987/460,1516/794

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 1987,1516

Least Common Multiple of Numerators i.e. LCM of 1987,1516 is 3012292.

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

GCF of 460,794 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1987,1516

LCM of Fractions 1987/460,1516/794 is 1506146

Given numbers has no common factors except 1. So, there LCM is their product i.e 3012292

Least Common Multiple of 1987,1516 with GCF Formula

Least Common Multiple of 1987,1516 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 1987,1516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1987,1516) = 1

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

GCF(1987,1516) x common factors =1 x 1 = 1

LCM(1987,1516) = ( 1987 × 1516 ) / 1

LCM(1987,1516) = 3012292 / 1

LCM(1987,1516) = 3012292


Lets's calculate GCF of 460,794

2 460, 794
230, 397

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3012292/2

Therefore the LCM of Fractions 1987/460,1516/794 is 1506146

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

Greatest Common Factor of 460,794 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 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 460,794 . The biggest common factor number is the GCF number.
So the greatest common factor 460,794 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 1987/460, 1516/794

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 1987/460, 1516/794?

Answer: LCM of Numerators as per given numbers 1987/460, 1516/794 is

LCM of Numerators i.e. for 1987,1516 is 3012292

GCF of denominators i.e. for 460,794 is 2.

Thus, LCM of Fractions is 1506146.Finally, LCM of Fractions for 1987/460, 1516/794 is 1506146.