Least Common Multiple of 19/852, 4056/2249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/852, 4056/2249 quickly i.e. 77064 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/852, 4056/2249 is 77064.

LCM(19/852, 4056/2249) = 77064

LCM of 19/852, 4056/2249

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 19/852,4056/2249

Given numbers are 19/852,4056/2249

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 19,4056

Least Common Multiple of Numerators i.e. LCM of 19,4056 is 77064.

GCF of Denominators means GCF of 852,2249 as per the given fractions.

GCF of 852,2249 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,4056

LCM of Fractions 19/852,4056/2249 is 77064

Given numbers has no common factors except 1. So, there LCM is their product i.e 77064

Least Common Multiple of 19,4056 with GCF Formula

Least Common Multiple of 19,4056 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 19,4056 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,4056) = 1

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

GCF(19,4056) x common factors =1 x 1 = 1

LCM(19,4056) = ( 19 × 4056 ) / 1

LCM(19,4056) = 77064 / 1

LCM(19,4056) = 77064


Lets's calculate GCF of 852,2249

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77064/1

Therefore the LCM of Fractions 19/852,4056/2249 is 77064

Greatest Common Factor of 852,2249 By Matching Biggest Common Factor Method

Greatest Common Factor of 852,2249 By Matching Biggest Common Factor Method

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 2249

List of positive integer factors of 2249 that divides 2249 without a remainder.

1,13,173,2249

Greatest Common Factor

We found the factors 852,2249 . The biggest common factor number is the GCF number.
So the greatest common factor 852,2249 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 19/852, 4056/2249

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 19/852, 4056/2249?

Answer: LCM of Numerators as per given numbers 19/852, 4056/2249 is

LCM of Numerators i.e. for 19,4056 is 77064

GCF of denominators i.e. for 852,2249 is 1.

Thus, LCM of Fractions is 77064.Finally, LCM of Fractions for 19/852, 4056/2249 is 77064.