Least Common Multiple of 4217/750, 4482/172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4217/750, 4482/172 quickly i.e. 9450297 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4217/750, 4482/172 is 9450297.

LCM(4217/750, 4482/172) = 9450297

LCM of 4217/750, 4482/172

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 4217/750,4482/172

Given numbers are 4217/750,4482/172

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 4217,4482

Least Common Multiple of Numerators i.e. LCM of 4217,4482 is 18900594.

GCF of Denominators means GCF of 750,172 as per the given fractions.

GCF of 750,172 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4217,4482

LCM of Fractions 4217/750,4482/172 is 9450297

Given numbers has no common factors except 1. So, there LCM is their product i.e 18900594

Least Common Multiple of 4217,4482 with GCF Formula

Least Common Multiple of 4217,4482 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 4217,4482 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4217,4482) = 1

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

GCF(4217,4482) x common factors =1 x 1 = 1

LCM(4217,4482) = ( 4217 × 4482 ) / 1

LCM(4217,4482) = 18900594 / 1

LCM(4217,4482) = 18900594


Lets's calculate GCF of 750,172

2 750, 172
375, 86

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18900594/2

Therefore the LCM of Fractions 4217/750,4482/172 is 9450297

Greatest Common Factor of 750,172 By Matching Biggest Common Factor Method

Greatest Common Factor of 750,172 By Matching Biggest Common Factor Method

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Greatest Common Factor

We found the factors 750,172 . The biggest common factor number is the GCF number.
So the greatest common factor 750,172 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4217/750, 4482/172

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 4217/750, 4482/172?

Answer: LCM of Numerators as per given numbers 4217/750, 4482/172 is

LCM of Numerators i.e. for 4217,4482 is 18900594

GCF of denominators i.e. for 750,172 is 2.

Thus, LCM of Fractions is 9450297.Finally, LCM of Fractions for 4217/750, 4482/172 is 9450297.