Least Common Multiple of 1896/824, 3519/404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1896/824, 3519/404 quickly i.e. 556002 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1896/824, 3519/404 is 556002.

LCM(1896/824, 3519/404) = 556002

LCM of 1896/824, 3519/404

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 1896/824,3519/404

Given numbers are 1896/824,3519/404

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 1896,3519

Least Common Multiple of Numerators i.e. LCM of 1896,3519 is 2224008.

GCF of Denominators means GCF of 824,404 as per the given fractions.

GCF of 824,404 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1896,3519

LCM of Fractions 1896/824,3519/404 is 556002

3 1896, 3519
632, 1173

∴ So the LCM of the given numbers is 3 x 632 x 1173 = 2224008

Least Common Multiple of 1896,3519 with GCF Formula

Least Common Multiple of 1896,3519 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 1896,3519 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1896,3519) = 3

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

GCF(1896,3519) x common factors =3 x 1 = 3

LCM(1896,3519) = ( 1896 × 3519 ) / 3

LCM(1896,3519) = 6672024 / 3

LCM(1896,3519) = 2224008


Lets's calculate GCF of 824,404

2 824, 404
2 412, 202
206, 101

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2224008/4

Therefore the LCM of Fractions 1896/824,3519/404 is 556002

Greatest Common Factor of 824,404 By Matching Biggest Common Factor Method

Greatest Common Factor of 824,404 By Matching Biggest Common Factor Method

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Greatest Common Factor

We found the factors 824,404 . The biggest common factor number is the GCF number.
So the greatest common factor 824,404 is 4.


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 1896/824, 3519/404

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 1896/824, 3519/404?

Answer: LCM of Numerators as per given numbers 1896/824, 3519/404 is

LCM of Numerators i.e. for 1896,3519 is 2224008

GCF of denominators i.e. for 824,404 is 4.

Thus, LCM of Fractions is 556002.Finally, LCM of Fractions for 1896/824, 3519/404 is 556002.