Least Common Multiple of 44/513, 9622/4302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 44/513, 9622/4302 quickly i.e. 211684/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/513, 9622/4302 is 211684/9.

LCM(44/513, 9622/4302) = 211684/9

LCM of 44/513, 9622/4302

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 44/513,9622/4302

Given numbers are 44/513,9622/4302

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 44,9622

Least Common Multiple of Numerators i.e. LCM of 44,9622 is 211684.

GCF of Denominators means GCF of 513,4302 as per the given fractions.

GCF of 513,4302 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,9622

LCM of Fractions 44/513,9622/4302 is 211684/9

2 44, 9622
22, 4811

∴ So the LCM of the given numbers is 2 x 22 x 4811 = 211684

Least Common Multiple of 44,9622 with GCF Formula

Least Common Multiple of 44,9622 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 44,9622 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,9622) = 2

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

GCF(44,9622) x common factors =2 x 1 = 2

LCM(44,9622) = ( 44 × 9622 ) / 2

LCM(44,9622) = 423368 / 2

LCM(44,9622) = 211684


Lets's calculate GCF of 513,4302

3 513, 4302
3 171, 1434
57, 478

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 211684/9

Therefore the LCM of Fractions 44/513,9622/4302 is 211684/9

Greatest Common Factor of 513,4302 By Matching Biggest Common Factor Method

Greatest Common Factor of 513,4302 By Matching Biggest Common Factor Method

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Factors of 4302

List of positive integer factors of 4302 that divides 4302 without a remainder.

1,2,3,6,9,18,239,478,717,1434,2151,4302

Greatest Common Factor

We found the factors 513,4302 . The biggest common factor number is the GCF number.
So the greatest common factor 513,4302 is 9.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 44/513, 9622/4302

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 44/513, 9622/4302?

Answer: LCM of Numerators as per given numbers 44/513, 9622/4302 is

LCM of Numerators i.e. for 44,9622 is 211684

GCF of denominators i.e. for 513,4302 is 9.

Thus, LCM of Fractions is 211684/9.Finally, LCM of Fractions for 44/513, 9622/4302 is 211684/9.