Least Common Multiple of 837/814, 338/473, 720/821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 837/814, 338/473, 720/821 quickly i.e. 11316240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 837/814, 338/473, 720/821 is 11316240.

LCM(837/814, 338/473, 720/821) = 11316240

LCM of 837/814, 338/473, 720/821

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 837/814,338/473,720/821

Given numbers are 837/814,338/473,720/821

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 837,338,720

Least Common Multiple of Numerators i.e. LCM of 837,338,720 is 11316240.

GCF of Denominators means GCF of 814,473,821 as per the given fractions.

GCF of 814,473,821 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 837,338,720

LCM of Fractions 837/814,338/473,720/821 is 11316240

2 837, 338, 720
3 837, 169, 360
3 279, 169, 120
93, 169, 40

∴ So the LCM of the given numbers is 2 x 3 x 3 x 93 x 169 x 40 = 11316240

Least Common Multiple of 837,338,720 with GCF Formula

Least Common Multiple of 837,338,720 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 837,338,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(837,338,720) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(837,338,720) x common factors =1 x 18 = 18

LCM(837,338,720) = ( 837 × 338 × 720 ) / 18

LCM(837,338,720) = 203692320 / 18

LCM(837,338,720) = 11316240


Lets's calculate GCF of 814,473,821

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11316240/1

Therefore the LCM of Fractions 837/814,338/473,720/821 is 11316240

Greatest Common Factor of 814,473,821 By Matching Biggest Common Factor Method

Greatest Common Factor of 814,473,821 By Matching Biggest Common Factor Method

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 473

List of positive integer factors of 473 that divides 473 without a remainder.

1,11,43,473

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 814,473,821 . The biggest common factor number is the GCF number.
So the greatest common factor 814,473,821 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 837/814, 338/473, 720/821

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 837/814, 338/473, 720/821?

Answer: LCM of Numerators as per given numbers 837/814, 338/473, 720/821 is

LCM of Numerators i.e. for 837,338,720 is 11316240

GCF of denominators i.e. for 814,473,821 is 1.

Thus, LCM of Fractions is 11316240.Finally, LCM of Fractions for 837/814, 338/473, 720/821 is 11316240.