Least Common Multiple of 307/326, 543/930, 431/336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 307/326, 543/930, 431/336 quickly i.e. 71848131/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 307/326, 543/930, 431/336 is 71848131/2.

LCM(307/326, 543/930, 431/336) = 71848131/2

LCM of 307/326, 543/930, 431/336

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 307/326,543/930,431/336

Given numbers are 307/326,543/930,431/336

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 307,543,431

Least Common Multiple of Numerators i.e. LCM of 307,543,431 is 71848131.

GCF of Denominators means GCF of 326,930,336 as per the given fractions.

GCF of 326,930,336 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 307,543,431

LCM of Fractions 307/326,543/930,431/336 is 71848131/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 71848131

Least Common Multiple of 307,543,431 with GCF Formula

Least Common Multiple of 307,543,431 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 307,543,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(307,543,431) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(307,543,431) x common factors =1 x 1 = 1

LCM(307,543,431) = ( 307 × 543 × 431 ) / 1

LCM(307,543,431) = 71848131 / 1

LCM(307,543,431) = 71848131


Lets's calculate GCF of 326,930,336

2 326, 930, 336
163, 465, 168

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71848131/2

Therefore the LCM of Fractions 307/326,543/930,431/336 is 71848131/2

Greatest Common Factor of 326,930,336 By Matching Biggest Common Factor Method

Greatest Common Factor of 326,930,336 By Matching Biggest Common Factor Method

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Greatest Common Factor

We found the factors 326,930,336 . The biggest common factor number is the GCF number.
So the greatest common factor 326,930,336 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 307/326, 543/930, 431/336

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 307/326, 543/930, 431/336?

Answer: LCM of Numerators as per given numbers 307/326, 543/930, 431/336 is

LCM of Numerators i.e. for 307,543,431 is 71848131

GCF of denominators i.e. for 326,930,336 is 2.

Thus, LCM of Fractions is 71848131/2.Finally, LCM of Fractions for 307/326, 543/930, 431/336 is 71848131/2.