Least Common Multiple of 93/392, 3109/6304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 93/392, 3109/6304 quickly i.e. 289137/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/392, 3109/6304 is 289137/8.

LCM(93/392, 3109/6304) = 289137/8

LCM of 93/392, 3109/6304

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 93/392,3109/6304

Given numbers are 93/392,3109/6304

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 93,3109

Least Common Multiple of Numerators i.e. LCM of 93,3109 is 289137.

GCF of Denominators means GCF of 392,6304 as per the given fractions.

GCF of 392,6304 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,3109

LCM of Fractions 93/392,3109/6304 is 289137/8

Given numbers has no common factors except 1. So, there LCM is their product i.e 289137

Least Common Multiple of 93,3109 with GCF Formula

Least Common Multiple of 93,3109 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 93,3109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,3109) = 1

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

GCF(93,3109) x common factors =1 x 1 = 1

LCM(93,3109) = ( 93 × 3109 ) / 1

LCM(93,3109) = 289137 / 1

LCM(93,3109) = 289137


Lets's calculate GCF of 392,6304

2 392, 6304
2 196, 3152
2 98, 1576
49, 788

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 289137/8

Therefore the LCM of Fractions 93/392,3109/6304 is 289137/8

Greatest Common Factor of 392,6304 By Matching Biggest Common Factor Method

Greatest Common Factor of 392,6304 By Matching Biggest Common Factor Method

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Factors of 6304

List of positive integer factors of 6304 that divides 6304 without a remainder.

1,2,4,8,16,32,197,394,788,1576,3152,6304

Greatest Common Factor

We found the factors 392,6304 . The biggest common factor number is the GCF number.
So the greatest common factor 392,6304 is 8.


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 93/392, 3109/6304

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 93/392, 3109/6304?

Answer: LCM of Numerators as per given numbers 93/392, 3109/6304 is

LCM of Numerators i.e. for 93,3109 is 289137

GCF of denominators i.e. for 392,6304 is 8.

Thus, LCM of Fractions is 289137/8.Finally, LCM of Fractions for 93/392, 3109/6304 is 289137/8.