Least Common Multiple of 460/638, 299/399, 211/603

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 460/638, 299/399, 211/603 quickly i.e. 1261780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 460/638, 299/399, 211/603 is 1261780.

LCM(460/638, 299/399, 211/603) = 1261780

LCM of 460/638, 299/399, 211/603

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 460/638,299/399,211/603

Given numbers are 460/638,299/399,211/603

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 460,299,211

Least Common Multiple of Numerators i.e. LCM of 460,299,211 is 1261780.

GCF of Denominators means GCF of 638,399,603 as per the given fractions.

GCF of 638,399,603 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 460,299,211

LCM of Fractions 460/638,299/399,211/603 is 1261780

23 460, 299, 211
20, 13, 211

∴ So the LCM of the given numbers is 23 x 20 x 13 x 211 = 1261780

Least Common Multiple of 460,299,211 with GCF Formula

Least Common Multiple of 460,299,211 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 460,299,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,299,211) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(460,299,211) x common factors =1 x 23 = 23

LCM(460,299,211) = ( 460 × 299 × 211 ) / 23

LCM(460,299,211) = 29020940 / 23

LCM(460,299,211) = 1261780


Lets's calculate GCF of 638,399,603

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1261780/1

Therefore the LCM of Fractions 460/638,299/399,211/603 is 1261780

Greatest Common Factor of 638,399,603 By Matching Biggest Common Factor Method

Greatest Common Factor of 638,399,603 By Matching Biggest Common Factor Method

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Factors of 603

List of positive integer factors of 603 that divides 603 without a remainder.

1,3,9,67,201,603

Greatest Common Factor

We found the factors 638,399,603 . The biggest common factor number is the GCF number.
So the greatest common factor 638,399,603 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 460/638, 299/399, 211/603

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 460/638, 299/399, 211/603?

Answer: LCM of Numerators as per given numbers 460/638, 299/399, 211/603 is

LCM of Numerators i.e. for 460,299,211 is 1261780

GCF of denominators i.e. for 638,399,603 is 1.

Thus, LCM of Fractions is 1261780.Finally, LCM of Fractions for 460/638, 299/399, 211/603 is 1261780.