Least Common Multiple of 4550/179, 5224/4122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4550/179, 5224/4122 quickly i.e. 11884600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4550/179, 5224/4122 is 11884600.

LCM(4550/179, 5224/4122) = 11884600

LCM of 4550/179, 5224/4122

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 4550/179,5224/4122

Given numbers are 4550/179,5224/4122

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 4550,5224

Least Common Multiple of Numerators i.e. LCM of 4550,5224 is 11884600.

GCF of Denominators means GCF of 179,4122 as per the given fractions.

GCF of 179,4122 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4550,5224

LCM of Fractions 4550/179,5224/4122 is 11884600

2 4550, 5224
2275, 2612

∴ So the LCM of the given numbers is 2 x 2275 x 2612 = 11884600

Least Common Multiple of 4550,5224 with GCF Formula

Least Common Multiple of 4550,5224 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 4550,5224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4550,5224) = 2

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

GCF(4550,5224) x common factors =2 x 1 = 2

LCM(4550,5224) = ( 4550 × 5224 ) / 2

LCM(4550,5224) = 23769200 / 2

LCM(4550,5224) = 11884600


Lets's calculate GCF of 179,4122

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11884600/1

Therefore the LCM of Fractions 4550/179,5224/4122 is 11884600

Greatest Common Factor of 179,4122 By Matching Biggest Common Factor Method

Greatest Common Factor of 179,4122 By Matching Biggest Common Factor Method

Factors of 179

List of positive integer factors of 179 that divides 179 without a remainder.

1,179

Factors of 4122

List of positive integer factors of 4122 that divides 4122 without a remainder.

1,2,3,6,9,18,229,458,687,1374,2061,4122

Greatest Common Factor

We found the factors 179,4122 . The biggest common factor number is the GCF number.
So the greatest common factor 179,4122 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4550/179, 5224/4122

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 4550/179, 5224/4122?

Answer: LCM of Numerators as per given numbers 4550/179, 5224/4122 is

LCM of Numerators i.e. for 4550,5224 is 11884600

GCF of denominators i.e. for 179,4122 is 1.

Thus, LCM of Fractions is 11884600.Finally, LCM of Fractions for 4550/179, 5224/4122 is 11884600.