Least Common Multiple of 9126/226, 2327/7983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9126/226, 2327/7983 quickly i.e. 1633554 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9126/226, 2327/7983 is 1633554.

LCM(9126/226, 2327/7983) = 1633554

LCM of 9126/226, 2327/7983

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 9126/226,2327/7983

Given numbers are 9126/226,2327/7983

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 9126,2327

Least Common Multiple of Numerators i.e. LCM of 9126,2327 is 1633554.

GCF of Denominators means GCF of 226,7983 as per the given fractions.

GCF of 226,7983 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9126,2327

LCM of Fractions 9126/226,2327/7983 is 1633554

13 9126, 2327
702, 179

∴ So the LCM of the given numbers is 13 x 702 x 179 = 1633554

Least Common Multiple of 9126,2327 with GCF Formula

Least Common Multiple of 9126,2327 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 9126,2327 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9126,2327) = 13

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

GCF(9126,2327) x common factors =13 x 1 = 13

LCM(9126,2327) = ( 9126 × 2327 ) / 13

LCM(9126,2327) = 21236202 / 13

LCM(9126,2327) = 1633554


Lets's calculate GCF of 226,7983

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1633554/1

Therefore the LCM of Fractions 9126/226,2327/7983 is 1633554

Greatest Common Factor of 226,7983 By Matching Biggest Common Factor Method

Greatest Common Factor of 226,7983 By Matching Biggest Common Factor Method

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Factors of 7983

List of positive integer factors of 7983 that divides 7983 without a remainder.

1,3,9,887,2661,7983

Greatest Common Factor

We found the factors 226,7983 . The biggest common factor number is the GCF number.
So the greatest common factor 226,7983 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9126/226, 2327/7983

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 9126/226, 2327/7983?

Answer: LCM of Numerators as per given numbers 9126/226, 2327/7983 is

LCM of Numerators i.e. for 9126,2327 is 1633554

GCF of denominators i.e. for 226,7983 is 1.

Thus, LCM of Fractions is 1633554.Finally, LCM of Fractions for 9126/226, 2327/7983 is 1633554.