Least Common Multiple of 4933/428, 3675/5558

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4933/428, 3675/5558 quickly i.e. 18128775/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4933/428, 3675/5558 is 18128775/2.

LCM(4933/428, 3675/5558) = 18128775/2

LCM of 4933/428, 3675/5558

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 4933/428,3675/5558

Given numbers are 4933/428,3675/5558

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 4933,3675

Least Common Multiple of Numerators i.e. LCM of 4933,3675 is 18128775.

GCF of Denominators means GCF of 428,5558 as per the given fractions.

GCF of 428,5558 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4933,3675

LCM of Fractions 4933/428,3675/5558 is 18128775/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 18128775

Least Common Multiple of 4933,3675 with GCF Formula

Least Common Multiple of 4933,3675 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 4933,3675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4933,3675) = 1

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

GCF(4933,3675) x common factors =1 x 1 = 1

LCM(4933,3675) = ( 4933 × 3675 ) / 1

LCM(4933,3675) = 18128775 / 1

LCM(4933,3675) = 18128775


Lets's calculate GCF of 428,5558

2 428, 5558
214, 2779

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18128775/2

Therefore the LCM of Fractions 4933/428,3675/5558 is 18128775/2

Greatest Common Factor of 428,5558 By Matching Biggest Common Factor Method

Greatest Common Factor of 428,5558 By Matching Biggest Common Factor Method

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 5558

List of positive integer factors of 5558 that divides 5558 without a remainder.

1,2,7,14,397,794,2779,5558

Greatest Common Factor

We found the factors 428,5558 . The biggest common factor number is the GCF number.
So the greatest common factor 428,5558 is 2.


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 4933/428, 3675/5558

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 4933/428, 3675/5558?

Answer: LCM of Numerators as per given numbers 4933/428, 3675/5558 is

LCM of Numerators i.e. for 4933,3675 is 18128775

GCF of denominators i.e. for 428,5558 is 2.

Thus, LCM of Fractions is 18128775/2.Finally, LCM of Fractions for 4933/428, 3675/5558 is 18128775/2.