Least Common Multiple of 9022/436, 3858/2192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9022/436, 3858/2192 quickly i.e. 17403438/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9022/436, 3858/2192 is 17403438/4.

LCM(9022/436, 3858/2192) = 17403438/4

LCM of 9022/436, 3858/2192

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 9022/436,3858/2192

Given numbers are 9022/436,3858/2192

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 9022,3858

Least Common Multiple of Numerators i.e. LCM of 9022,3858 is 17403438.

GCF of Denominators means GCF of 436,2192 as per the given fractions.

GCF of 436,2192 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9022,3858

LCM of Fractions 9022/436,3858/2192 is 17403438/4

2 9022, 3858
4511, 1929

∴ So the LCM of the given numbers is 2 x 4511 x 1929 = 17403438

Least Common Multiple of 9022,3858 with GCF Formula

Least Common Multiple of 9022,3858 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 9022,3858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9022,3858) = 2

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

GCF(9022,3858) x common factors =2 x 1 = 2

LCM(9022,3858) = ( 9022 × 3858 ) / 2

LCM(9022,3858) = 34806876 / 2

LCM(9022,3858) = 17403438


Lets's calculate GCF of 436,2192

2 436, 2192
2 218, 1096
109, 548

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17403438/4

Therefore the LCM of Fractions 9022/436,3858/2192 is 17403438/4

Greatest Common Factor of 436,2192 By Matching Biggest Common Factor Method

Greatest Common Factor of 436,2192 By Matching Biggest Common Factor Method

Factors of 436

List of positive integer factors of 436 that divides 436 without a remainder.

1,2,4,109,218,436

Factors of 2192

List of positive integer factors of 2192 that divides 2192 without a remainder.

1,2,4,8,16,137,274,548,1096,2192

Greatest Common Factor

We found the factors 436,2192 . The biggest common factor number is the GCF number.
So the greatest common factor 436,2192 is 4.


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Frequently Asked Questions on Fractional LCM of 9022/436, 3858/2192

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 9022/436, 3858/2192?

Answer: LCM of Numerators as per given numbers 9022/436, 3858/2192 is

LCM of Numerators i.e. for 9022,3858 is 17403438

GCF of denominators i.e. for 436,2192 is 4.

Thus, LCM of Fractions is 17403438/4.Finally, LCM of Fractions for 9022/436, 3858/2192 is 17403438/4.