Least Common Multiple of 768/85, 457/6399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 768/85, 457/6399 quickly i.e. 350976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 768/85, 457/6399 is 350976.

LCM(768/85, 457/6399) = 350976

LCM of 768/85, 457/6399

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 768/85,457/6399

Given numbers are 768/85,457/6399

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 768,457

Least Common Multiple of Numerators i.e. LCM of 768,457 is 350976.

GCF of Denominators means GCF of 85,6399 as per the given fractions.

GCF of 85,6399 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 768,457

LCM of Fractions 768/85,457/6399 is 350976

Given numbers has no common factors except 1. So, there LCM is their product i.e 350976

Least Common Multiple of 768,457 with GCF Formula

Least Common Multiple of 768,457 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 768,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,457) = 1

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

GCF(768,457) x common factors =1 x 1 = 1

LCM(768,457) = ( 768 × 457 ) / 1

LCM(768,457) = 350976 / 1

LCM(768,457) = 350976


Lets's calculate GCF of 85,6399

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 350976/1

Therefore the LCM of Fractions 768/85,457/6399 is 350976

Greatest Common Factor of 85,6399 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,6399 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 6399

List of positive integer factors of 6399 that divides 6399 without a remainder.

1,3,9,27,79,81,237,711,2133,6399

Greatest Common Factor

We found the factors 85,6399 . The biggest common factor number is the GCF number.
So the greatest common factor 85,6399 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 768/85, 457/6399

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 768/85, 457/6399?

Answer: LCM of Numerators as per given numbers 768/85, 457/6399 is

LCM of Numerators i.e. for 768,457 is 350976

GCF of denominators i.e. for 85,6399 is 1.

Thus, LCM of Fractions is 350976.Finally, LCM of Fractions for 768/85, 457/6399 is 350976.