Least Common Multiple of 399/705, 8048/812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 399/705, 8048/812 quickly i.e. 3211152 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 399/705, 8048/812 is 3211152.

LCM(399/705, 8048/812) = 3211152

LCM of 399/705, 8048/812

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 399/705,8048/812

Given numbers are 399/705,8048/812

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 399,8048

Least Common Multiple of Numerators i.e. LCM of 399,8048 is 3211152.

GCF of Denominators means GCF of 705,812 as per the given fractions.

GCF of 705,812 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 399,8048

LCM of Fractions 399/705,8048/812 is 3211152

Given numbers has no common factors except 1. So, there LCM is their product i.e 3211152

Least Common Multiple of 399,8048 with GCF Formula

Least Common Multiple of 399,8048 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 399,8048 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(399,8048) = 1

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

GCF(399,8048) x common factors =1 x 1 = 1

LCM(399,8048) = ( 399 × 8048 ) / 1

LCM(399,8048) = 3211152 / 1

LCM(399,8048) = 3211152


Lets's calculate GCF of 705,812

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3211152/1

Therefore the LCM of Fractions 399/705,8048/812 is 3211152

Greatest Common Factor of 705,812 By Matching Biggest Common Factor Method

Greatest Common Factor of 705,812 By Matching Biggest Common Factor Method

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Greatest Common Factor

We found the factors 705,812 . The biggest common factor number is the GCF number.
So the greatest common factor 705,812 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 399/705, 8048/812

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 399/705, 8048/812?

Answer: LCM of Numerators as per given numbers 399/705, 8048/812 is

LCM of Numerators i.e. for 399,8048 is 3211152

GCF of denominators i.e. for 705,812 is 1.

Thus, LCM of Fractions is 3211152.Finally, LCM of Fractions for 399/705, 8048/812 is 3211152.