Least Common Multiple of 1360/395, 1680/906

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1360/395, 1680/906 quickly i.e. 28560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1360/395, 1680/906 is 28560.

LCM(1360/395, 1680/906) = 28560

LCM of 1360/395, 1680/906

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 1360/395,1680/906

Given numbers are 1360/395,1680/906

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 1360,1680

Least Common Multiple of Numerators i.e. LCM of 1360,1680 is 28560.

GCF of Denominators means GCF of 395,906 as per the given fractions.

GCF of 395,906 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1360,1680

LCM of Fractions 1360/395,1680/906 is 28560

2 1360, 1680
2 680, 840
2 340, 420
2 170, 210
5 85, 105
17, 21

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 17 x 21 = 28560

Least Common Multiple of 1360,1680 with GCF Formula

Least Common Multiple of 1360,1680 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 1360,1680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1360,1680) = 80

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

GCF(1360,1680) x common factors =80 x 1 = 80

LCM(1360,1680) = ( 1360 × 1680 ) / 80

LCM(1360,1680) = 2284800 / 80

LCM(1360,1680) = 28560


Lets's calculate GCF of 395,906

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28560/1

Therefore the LCM of Fractions 1360/395,1680/906 is 28560

Greatest Common Factor of 395,906 By Matching Biggest Common Factor Method

Greatest Common Factor of 395,906 By Matching Biggest Common Factor Method

Factors of 395

List of positive integer factors of 395 that divides 395 without a remainder.

1,5,79,395

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Greatest Common Factor

We found the factors 395,906 . The biggest common factor number is the GCF number.
So the greatest common factor 395,906 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 1360/395, 1680/906

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 1360/395, 1680/906?

Answer: LCM of Numerators as per given numbers 1360/395, 1680/906 is

LCM of Numerators i.e. for 1360,1680 is 28560

GCF of denominators i.e. for 395,906 is 1.

Thus, LCM of Fractions is 28560.Finally, LCM of Fractions for 1360/395, 1680/906 is 28560.