Least Common Multiple of 2894/728, 6466/8442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2894/728, 6466/8442 quickly i.e. 9356302/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2894/728, 6466/8442 is 9356302/14.

LCM(2894/728, 6466/8442) = 9356302/14

LCM of 2894/728, 6466/8442

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 2894/728,6466/8442

Given numbers are 2894/728,6466/8442

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 2894,6466

Least Common Multiple of Numerators i.e. LCM of 2894,6466 is 9356302.

GCF of Denominators means GCF of 728,8442 as per the given fractions.

GCF of 728,8442 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2894,6466

LCM of Fractions 2894/728,6466/8442 is 9356302/14

2 2894, 6466
1447, 3233

∴ So the LCM of the given numbers is 2 x 1447 x 3233 = 9356302

Least Common Multiple of 2894,6466 with GCF Formula

Least Common Multiple of 2894,6466 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 2894,6466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2894,6466) = 2

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

GCF(2894,6466) x common factors =2 x 1 = 2

LCM(2894,6466) = ( 2894 × 6466 ) / 2

LCM(2894,6466) = 18712604 / 2

LCM(2894,6466) = 9356302


Lets's calculate GCF of 728,8442

2 728, 8442
7 364, 4221
52, 603

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9356302/14

Therefore the LCM of Fractions 2894/728,6466/8442 is 9356302/14

Greatest Common Factor of 728,8442 By Matching Biggest Common Factor Method

Greatest Common Factor of 728,8442 By Matching Biggest Common Factor Method

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 8442

List of positive integer factors of 8442 that divides 8442 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,67,126,134,201,402,469,603,938,1206,1407,2814,4221,8442

Greatest Common Factor

We found the factors 728,8442 . The biggest common factor number is the GCF number.
So the greatest common factor 728,8442 is 14.


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 2894/728, 6466/8442

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 2894/728, 6466/8442?

Answer: LCM of Numerators as per given numbers 2894/728, 6466/8442 is

LCM of Numerators i.e. for 2894,6466 is 9356302

GCF of denominators i.e. for 728,8442 is 14.

Thus, LCM of Fractions is 9356302/14.Finally, LCM of Fractions for 2894/728, 6466/8442 is 9356302/14.