Least Common Multiple of 593/100, 804/168, 972/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 593/100, 804/168, 972/306 quickly i.e. 19309266 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 593/100, 804/168, 972/306 is 19309266.

LCM(593/100, 804/168, 972/306) = 19309266

LCM of 593/100, 804/168, 972/306

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 593/100,804/168,972/306

Given numbers are 593/100,804/168,972/306

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 593,804,972

Least Common Multiple of Numerators i.e. LCM of 593,804,972 is 38618532.

GCF of Denominators means GCF of 100,168,306 as per the given fractions.

GCF of 100,168,306 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 593,804,972

LCM of Fractions 593/100,804/168,972/306 is 19309266

2 593, 804, 972
2 593, 402, 486
3 593, 201, 243
593, 67, 81

∴ So the LCM of the given numbers is 2 x 2 x 3 x 593 x 67 x 81 = 38618532

Least Common Multiple of 593,804,972 with GCF Formula

Least Common Multiple of 593,804,972 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 593,804,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(593,804,972) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(593,804,972) x common factors =1 x 12 = 12

LCM(593,804,972) = ( 593 × 804 × 972 ) / 12

LCM(593,804,972) = 463422384 / 12

LCM(593,804,972) = 38618532


Lets's calculate GCF of 100,168,306

2 100, 168, 306
50, 84, 153

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38618532/2

Therefore the LCM of Fractions 593/100,804/168,972/306 is 19309266

Greatest Common Factor of 100,168,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 100,168,306 By Matching Biggest Common Factor Method

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

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

Greatest Common Factor

We found the factors 100,168,306 . The biggest common factor number is the GCF number.
So the greatest common factor 100,168,306 is 2.


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 593/100, 804/168, 972/306

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 593/100, 804/168, 972/306?

Answer: LCM of Numerators as per given numbers 593/100, 804/168, 972/306 is

LCM of Numerators i.e. for 593,804,972 is 38618532

GCF of denominators i.e. for 100,168,306 is 2.

Thus, LCM of Fractions is 19309266.Finally, LCM of Fractions for 593/100, 804/168, 972/306 is 19309266.