Least Common Multiple of 46/838, 614/975, 209/821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/838, 614/975, 209/821 quickly i.e. 2951498 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/838, 614/975, 209/821 is 2951498.

LCM(46/838, 614/975, 209/821) = 2951498

LCM of 46/838, 614/975, 209/821

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 46/838,614/975,209/821

Given numbers are 46/838,614/975,209/821

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 46,614,209

Least Common Multiple of Numerators i.e. LCM of 46,614,209 is 2951498.

GCF of Denominators means GCF of 838,975,821 as per the given fractions.

GCF of 838,975,821 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,614,209

LCM of Fractions 46/838,614/975,209/821 is 2951498

2 46, 614, 209
23, 307, 209

∴ So the LCM of the given numbers is 2 x 23 x 307 x 209 = 2951498

Least Common Multiple of 46,614,209 with GCF Formula

Least Common Multiple of 46,614,209 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 46,614,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,614,209) = 1

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

GCF(46,614,209) x common factors =1 x 2 = 2

LCM(46,614,209) = ( 46 × 614 × 209 ) / 2

LCM(46,614,209) = 5902996 / 2

LCM(46,614,209) = 2951498


Lets's calculate GCF of 838,975,821

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2951498/1

Therefore the LCM of Fractions 46/838,614/975,209/821 is 2951498

Greatest Common Factor of 838,975,821 By Matching Biggest Common Factor Method

Greatest Common Factor of 838,975,821 By Matching Biggest Common Factor Method

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Greatest Common Factor

We found the factors 838,975,821 . The biggest common factor number is the GCF number.
So the greatest common factor 838,975,821 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 46/838, 614/975, 209/821

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 46/838, 614/975, 209/821?

Answer: LCM of Numerators as per given numbers 46/838, 614/975, 209/821 is

LCM of Numerators i.e. for 46,614,209 is 2951498

GCF of denominators i.e. for 838,975,821 is 1.

Thus, LCM of Fractions is 2951498.Finally, LCM of Fractions for 46/838, 614/975, 209/821 is 2951498.