Least Common Multiple of 3384/894, 1360/262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3384/894, 1360/262 quickly i.e. 287640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3384/894, 1360/262 is 287640.

LCM(3384/894, 1360/262) = 287640

LCM of 3384/894, 1360/262

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 3384/894,1360/262

Given numbers are 3384/894,1360/262

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 3384,1360

Least Common Multiple of Numerators i.e. LCM of 3384,1360 is 575280.

GCF of Denominators means GCF of 894,262 as per the given fractions.

GCF of 894,262 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3384,1360

LCM of Fractions 3384/894,1360/262 is 287640

2 3384, 1360
2 1692, 680
2 846, 340
423, 170

∴ So the LCM of the given numbers is 2 x 2 x 2 x 423 x 170 = 575280

Least Common Multiple of 3384,1360 with GCF Formula

Least Common Multiple of 3384,1360 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 3384,1360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3384,1360) = 8

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

GCF(3384,1360) x common factors =8 x 1 = 8

LCM(3384,1360) = ( 3384 × 1360 ) / 8

LCM(3384,1360) = 4602240 / 8

LCM(3384,1360) = 575280


Lets's calculate GCF of 894,262

2 894, 262
447, 131

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 575280/2

Therefore the LCM of Fractions 3384/894,1360/262 is 287640

Greatest Common Factor of 894,262 By Matching Biggest Common Factor Method

Greatest Common Factor of 894,262 By Matching Biggest Common Factor Method

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Greatest Common Factor

We found the factors 894,262 . The biggest common factor number is the GCF number.
So the greatest common factor 894,262 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 3384/894, 1360/262

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 3384/894, 1360/262?

Answer: LCM of Numerators as per given numbers 3384/894, 1360/262 is

LCM of Numerators i.e. for 3384,1360 is 575280

GCF of denominators i.e. for 894,262 is 2.

Thus, LCM of Fractions is 287640.Finally, LCM of Fractions for 3384/894, 1360/262 is 287640.