Least Common Multiple of 6783/895, 4981/1865

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6783/895, 4981/1865 quickly i.e. 1987419/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6783/895, 4981/1865 is 1987419/5.

LCM(6783/895, 4981/1865) = 1987419/5

LCM of 6783/895, 4981/1865

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 6783/895,4981/1865

Given numbers are 6783/895,4981/1865

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 6783,4981

Least Common Multiple of Numerators i.e. LCM of 6783,4981 is 1987419.

GCF of Denominators means GCF of 895,1865 as per the given fractions.

GCF of 895,1865 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6783,4981

LCM of Fractions 6783/895,4981/1865 is 1987419/5

17 6783, 4981
399, 293

∴ So the LCM of the given numbers is 17 x 399 x 293 = 1987419

Least Common Multiple of 6783,4981 with GCF Formula

Least Common Multiple of 6783,4981 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 6783,4981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6783,4981) = 17

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

GCF(6783,4981) x common factors =17 x 1 = 17

LCM(6783,4981) = ( 6783 × 4981 ) / 17

LCM(6783,4981) = 33786123 / 17

LCM(6783,4981) = 1987419


Lets's calculate GCF of 895,1865

5 895, 1865
179, 373

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1987419/5

Therefore the LCM of Fractions 6783/895,4981/1865 is 1987419/5

Greatest Common Factor of 895,1865 By Matching Biggest Common Factor Method

Greatest Common Factor of 895,1865 By Matching Biggest Common Factor Method

Factors of 895

List of positive integer factors of 895 that divides 895 without a remainder.

1,5,179,895

Factors of 1865

List of positive integer factors of 1865 that divides 1865 without a remainder.

1,5,373,1865

Greatest Common Factor

We found the factors 895,1865 . The biggest common factor number is the GCF number.
So the greatest common factor 895,1865 is 5.


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 6783/895, 4981/1865

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 6783/895, 4981/1865?

Answer: LCM of Numerators as per given numbers 6783/895, 4981/1865 is

LCM of Numerators i.e. for 6783,4981 is 1987419

GCF of denominators i.e. for 895,1865 is 5.

Thus, LCM of Fractions is 1987419/5.Finally, LCM of Fractions for 6783/895, 4981/1865 is 1987419/5.