Least Common Multiple of 4019/374, 4325/5533

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4019/374, 4325/5533 quickly i.e. 17382175/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4019/374, 4325/5533 is 17382175/11.

LCM(4019/374, 4325/5533) = 17382175/11

LCM of 4019/374, 4325/5533

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 4019/374,4325/5533

Given numbers are 4019/374,4325/5533

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 4019,4325

Least Common Multiple of Numerators i.e. LCM of 4019,4325 is 17382175.

GCF of Denominators means GCF of 374,5533 as per the given fractions.

GCF of 374,5533 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4019,4325

LCM of Fractions 4019/374,4325/5533 is 17382175/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 17382175

Least Common Multiple of 4019,4325 with GCF Formula

Least Common Multiple of 4019,4325 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 4019,4325 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4019,4325) = 1

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

GCF(4019,4325) x common factors =1 x 1 = 1

LCM(4019,4325) = ( 4019 × 4325 ) / 1

LCM(4019,4325) = 17382175 / 1

LCM(4019,4325) = 17382175


Lets's calculate GCF of 374,5533

11 374, 5533
34, 503

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17382175/11

Therefore the LCM of Fractions 4019/374,4325/5533 is 17382175/11

Greatest Common Factor of 374,5533 By Matching Biggest Common Factor Method

Greatest Common Factor of 374,5533 By Matching Biggest Common Factor Method

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 5533

List of positive integer factors of 5533 that divides 5533 without a remainder.

1,11,503,5533

Greatest Common Factor

We found the factors 374,5533 . The biggest common factor number is the GCF number.
So the greatest common factor 374,5533 is 11.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4019/374, 4325/5533

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 4019/374, 4325/5533?

Answer: LCM of Numerators as per given numbers 4019/374, 4325/5533 is

LCM of Numerators i.e. for 4019,4325 is 17382175

GCF of denominators i.e. for 374,5533 is 11.

Thus, LCM of Fractions is 17382175/11.Finally, LCM of Fractions for 4019/374, 4325/5533 is 17382175/11.