Least Common Multiple of 73/416, 824/969, 812/933

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/416, 824/969, 812/933 quickly i.e. 12210856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/416, 824/969, 812/933 is 12210856.

LCM(73/416, 824/969, 812/933) = 12210856

LCM of 73/416, 824/969, 812/933

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 73/416,824/969,812/933

Given numbers are 73/416,824/969,812/933

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 73,824,812

Least Common Multiple of Numerators i.e. LCM of 73,824,812 is 12210856.

GCF of Denominators means GCF of 416,969,933 as per the given fractions.

GCF of 416,969,933 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,824,812

LCM of Fractions 73/416,824/969,812/933 is 12210856

2 73, 824, 812
2 73, 412, 406
73, 206, 203

∴ So the LCM of the given numbers is 2 x 2 x 73 x 206 x 203 = 12210856

Least Common Multiple of 73,824,812 with GCF Formula

Least Common Multiple of 73,824,812 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 73,824,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,824,812) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(73,824,812) x common factors =1 x 4 = 4

LCM(73,824,812) = ( 73 × 824 × 812 ) / 4

LCM(73,824,812) = 48843424 / 4

LCM(73,824,812) = 12210856


Lets's calculate GCF of 416,969,933

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12210856/1

Therefore the LCM of Fractions 73/416,824/969,812/933 is 12210856

Greatest Common Factor of 416,969,933 By Matching Biggest Common Factor Method

Greatest Common Factor of 416,969,933 By Matching Biggest Common Factor Method

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Factors of 933

List of positive integer factors of 933 that divides 933 without a remainder.

1,3,311,933

Greatest Common Factor

We found the factors 416,969,933 . The biggest common factor number is the GCF number.
So the greatest common factor 416,969,933 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 73/416, 824/969, 812/933

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 73/416, 824/969, 812/933?

Answer: LCM of Numerators as per given numbers 73/416, 824/969, 812/933 is

LCM of Numerators i.e. for 73,824,812 is 12210856

GCF of denominators i.e. for 416,969,933 is 1.

Thus, LCM of Fractions is 12210856.Finally, LCM of Fractions for 73/416, 824/969, 812/933 is 12210856.