Least Common Multiple of 1801/849, 1456/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1801/849, 1456/870 quickly i.e. 2622256/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1801/849, 1456/870 is 2622256/3.

LCM(1801/849, 1456/870) = 2622256/3

LCM of 1801/849, 1456/870

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 1801/849,1456/870

Given numbers are 1801/849,1456/870

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 1801,1456

Least Common Multiple of Numerators i.e. LCM of 1801,1456 is 2622256.

GCF of Denominators means GCF of 849,870 as per the given fractions.

GCF of 849,870 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1801,1456

LCM of Fractions 1801/849,1456/870 is 2622256/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 2622256

Least Common Multiple of 1801,1456 with GCF Formula

Least Common Multiple of 1801,1456 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 1801,1456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1801,1456) = 1

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

GCF(1801,1456) x common factors =1 x 1 = 1

LCM(1801,1456) = ( 1801 × 1456 ) / 1

LCM(1801,1456) = 2622256 / 1

LCM(1801,1456) = 2622256


Lets's calculate GCF of 849,870

3 849, 870
283, 290

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2622256/3

Therefore the LCM of Fractions 1801/849,1456/870 is 2622256/3

Greatest Common Factor of 849,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 849,870 By Matching Biggest Common Factor Method

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 849,870 . The biggest common factor number is the GCF number.
So the greatest common factor 849,870 is 3.


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 1801/849, 1456/870

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 1801/849, 1456/870?

Answer: LCM of Numerators as per given numbers 1801/849, 1456/870 is

LCM of Numerators i.e. for 1801,1456 is 2622256

GCF of denominators i.e. for 849,870 is 3.

Thus, LCM of Fractions is 2622256/3.Finally, LCM of Fractions for 1801/849, 1456/870 is 2622256/3.