Least Common Multiple of 812/346, 7680/6482

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 812/346, 7680/6482 quickly i.e. 779520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 812/346, 7680/6482 is 779520.

LCM(812/346, 7680/6482) = 779520

LCM of 812/346, 7680/6482

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 812/346,7680/6482

Given numbers are 812/346,7680/6482

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 812,7680

Least Common Multiple of Numerators i.e. LCM of 812,7680 is 1559040.

GCF of Denominators means GCF of 346,6482 as per the given fractions.

GCF of 346,6482 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 812,7680

LCM of Fractions 812/346,7680/6482 is 779520

2 812, 7680
2 406, 3840
203, 1920

∴ So the LCM of the given numbers is 2 x 2 x 203 x 1920 = 1559040

Least Common Multiple of 812,7680 with GCF Formula

Least Common Multiple of 812,7680 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 812,7680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(812,7680) = 4

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

GCF(812,7680) x common factors =4 x 1 = 4

LCM(812,7680) = ( 812 × 7680 ) / 4

LCM(812,7680) = 6236160 / 4

LCM(812,7680) = 1559040


Lets's calculate GCF of 346,6482

2 346, 6482
173, 3241

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1559040/2

Therefore the LCM of Fractions 812/346,7680/6482 is 779520

Greatest Common Factor of 346,6482 By Matching Biggest Common Factor Method

Greatest Common Factor of 346,6482 By Matching Biggest Common Factor Method

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Factors of 6482

List of positive integer factors of 6482 that divides 6482 without a remainder.

1,2,7,14,463,926,3241,6482

Greatest Common Factor

We found the factors 346,6482 . The biggest common factor number is the GCF number.
So the greatest common factor 346,6482 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 812/346, 7680/6482

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 812/346, 7680/6482?

Answer: LCM of Numerators as per given numbers 812/346, 7680/6482 is

LCM of Numerators i.e. for 812,7680 is 1559040

GCF of denominators i.e. for 346,6482 is 2.

Thus, LCM of Fractions is 779520.Finally, LCM of Fractions for 812/346, 7680/6482 is 779520.