Least Common Multiple of 4553/15, 3382/185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4553/15, 3382/185 quickly i.e. 15398246/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4553/15, 3382/185 is 15398246/5.

LCM(4553/15, 3382/185) = 15398246/5

LCM of 4553/15, 3382/185

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 4553/15,3382/185

Given numbers are 4553/15,3382/185

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 4553,3382

Least Common Multiple of Numerators i.e. LCM of 4553,3382 is 15398246.

GCF of Denominators means GCF of 15,185 as per the given fractions.

GCF of 15,185 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4553,3382

LCM of Fractions 4553/15,3382/185 is 15398246/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 15398246

Least Common Multiple of 4553,3382 with GCF Formula

Least Common Multiple of 4553,3382 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 4553,3382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4553,3382) = 1

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

GCF(4553,3382) x common factors =1 x 1 = 1

LCM(4553,3382) = ( 4553 × 3382 ) / 1

LCM(4553,3382) = 15398246 / 1

LCM(4553,3382) = 15398246


Lets's calculate GCF of 15,185

5 15, 185
3, 37

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15398246/5

Therefore the LCM of Fractions 4553/15,3382/185 is 15398246/5

Greatest Common Factor of 15,185 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,185 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Greatest Common Factor

We found the factors 15,185 . The biggest common factor number is the GCF number.
So the greatest common factor 15,185 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4553/15, 3382/185

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 4553/15, 3382/185?

Answer: LCM of Numerators as per given numbers 4553/15, 3382/185 is

LCM of Numerators i.e. for 4553,3382 is 15398246

GCF of denominators i.e. for 15,185 is 5.

Thus, LCM of Fractions is 15398246/5.Finally, LCM of Fractions for 4553/15, 3382/185 is 15398246/5.