Least Common Multiple of 72/324, 683/306, 111/837

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/324, 683/306, 111/837 quickly i.e. 202168 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/324, 683/306, 111/837 is 202168.

LCM(72/324, 683/306, 111/837) = 202168

LCM of 72/324, 683/306, 111/837

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 72/324,683/306,111/837

Given numbers are 72/324,683/306,111/837

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 72,683,111

Least Common Multiple of Numerators i.e. LCM of 72,683,111 is 1819512.

GCF of Denominators means GCF of 324,306,837 as per the given fractions.

GCF of 324,306,837 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,683,111

LCM of Fractions 72/324,683/306,111/837 is 202168

3 72, 683, 111
24, 683, 37

∴ So the LCM of the given numbers is 3 x 24 x 683 x 37 = 1819512

Least Common Multiple of 72,683,111 with GCF Formula

Least Common Multiple of 72,683,111 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 72,683,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,683,111) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(72,683,111) x common factors =1 x 3 = 3

LCM(72,683,111) = ( 72 × 683 × 111 ) / 3

LCM(72,683,111) = 5458536 / 3

LCM(72,683,111) = 1819512


Lets's calculate GCF of 324,306,837

3 324, 306, 837
3 108, 102, 279
36, 34, 93

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1819512/9

Therefore the LCM of Fractions 72/324,683/306,111/837 is 202168

Greatest Common Factor of 324,306,837 By Matching Biggest Common Factor Method

Greatest Common Factor of 324,306,837 By Matching Biggest Common Factor Method

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 837

List of positive integer factors of 837 that divides 837 without a remainder.

1,3,9,27,31,93,279,837

Greatest Common Factor

We found the factors 324,306,837 . The biggest common factor number is the GCF number.
So the greatest common factor 324,306,837 is 9.


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 72/324, 683/306, 111/837

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 72/324, 683/306, 111/837?

Answer: LCM of Numerators as per given numbers 72/324, 683/306, 111/837 is

LCM of Numerators i.e. for 72,683,111 is 1819512

GCF of denominators i.e. for 324,306,837 is 9.

Thus, LCM of Fractions is 202168.Finally, LCM of Fractions for 72/324, 683/306, 111/837 is 202168.