Least Common Multiple of 6392/764, 6728/424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6392/764, 6728/424 quickly i.e. 1343918 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6392/764, 6728/424 is 1343918.

LCM(6392/764, 6728/424) = 1343918

LCM of 6392/764, 6728/424

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 6392/764,6728/424

Given numbers are 6392/764,6728/424

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 6392,6728

Least Common Multiple of Numerators i.e. LCM of 6392,6728 is 5375672.

GCF of Denominators means GCF of 764,424 as per the given fractions.

GCF of 764,424 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6392,6728

LCM of Fractions 6392/764,6728/424 is 1343918

2 6392, 6728
2 3196, 3364
2 1598, 1682
799, 841

∴ So the LCM of the given numbers is 2 x 2 x 2 x 799 x 841 = 5375672

Least Common Multiple of 6392,6728 with GCF Formula

Least Common Multiple of 6392,6728 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 6392,6728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6392,6728) = 8

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

GCF(6392,6728) x common factors =8 x 1 = 8

LCM(6392,6728) = ( 6392 × 6728 ) / 8

LCM(6392,6728) = 43005376 / 8

LCM(6392,6728) = 5375672


Lets's calculate GCF of 764,424

2 764, 424
2 382, 212
191, 106

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5375672/4

Therefore the LCM of Fractions 6392/764,6728/424 is 1343918

Greatest Common Factor of 764,424 By Matching Biggest Common Factor Method

Greatest Common Factor of 764,424 By Matching Biggest Common Factor Method

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Greatest Common Factor

We found the factors 764,424 . The biggest common factor number is the GCF number.
So the greatest common factor 764,424 is 4.


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 6392/764, 6728/424

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 6392/764, 6728/424?

Answer: LCM of Numerators as per given numbers 6392/764, 6728/424 is

LCM of Numerators i.e. for 6392,6728 is 5375672

GCF of denominators i.e. for 764,424 is 4.

Thus, LCM of Fractions is 1343918.Finally, LCM of Fractions for 6392/764, 6728/424 is 1343918.