Least Common Multiple of 46/987, 513/361, 514/391

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/987, 513/361, 514/391 quickly i.e. 6064686 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/987, 513/361, 514/391 is 6064686.

LCM(46/987, 513/361, 514/391) = 6064686

LCM of 46/987, 513/361, 514/391

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 46/987,513/361,514/391

Given numbers are 46/987,513/361,514/391

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 46,513,514

Least Common Multiple of Numerators i.e. LCM of 46,513,514 is 6064686.

GCF of Denominators means GCF of 987,361,391 as per the given fractions.

GCF of 987,361,391 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,513,514

LCM of Fractions 46/987,513/361,514/391 is 6064686

2 46, 513, 514
23, 513, 257

∴ So the LCM of the given numbers is 2 x 23 x 513 x 257 = 6064686

Least Common Multiple of 46,513,514 with GCF Formula

Least Common Multiple of 46,513,514 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 46,513,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,513,514) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(46,513,514) x common factors =1 x 2 = 2

LCM(46,513,514) = ( 46 × 513 × 514 ) / 2

LCM(46,513,514) = 12129372 / 2

LCM(46,513,514) = 6064686


Lets's calculate GCF of 987,361,391

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6064686/1

Therefore the LCM of Fractions 46/987,513/361,514/391 is 6064686

Greatest Common Factor of 987,361,391 By Matching Biggest Common Factor Method

Greatest Common Factor of 987,361,391 By Matching Biggest Common Factor Method

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Factors of 391

List of positive integer factors of 391 that divides 391 without a remainder.

1,17,23,391

Greatest Common Factor

We found the factors 987,361,391 . The biggest common factor number is the GCF number.
So the greatest common factor 987,361,391 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 46/987, 513/361, 514/391

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 46/987, 513/361, 514/391?

Answer: LCM of Numerators as per given numbers 46/987, 513/361, 514/391 is

LCM of Numerators i.e. for 46,513,514 is 6064686

GCF of denominators i.e. for 987,361,391 is 1.

Thus, LCM of Fractions is 6064686.Finally, LCM of Fractions for 46/987, 513/361, 514/391 is 6064686.