Least Common Multiple of 9229/207, 5674/6273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9229/207, 5674/6273 quickly i.e. 52365346/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9229/207, 5674/6273 is 52365346/9.

LCM(9229/207, 5674/6273) = 52365346/9

LCM of 9229/207, 5674/6273

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 9229/207,5674/6273

Given numbers are 9229/207,5674/6273

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 9229,5674

Least Common Multiple of Numerators i.e. LCM of 9229,5674 is 52365346.

GCF of Denominators means GCF of 207,6273 as per the given fractions.

GCF of 207,6273 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9229,5674

LCM of Fractions 9229/207,5674/6273 is 52365346/9

Given numbers has no common factors except 1. So, there LCM is their product i.e 52365346

Least Common Multiple of 9229,5674 with GCF Formula

Least Common Multiple of 9229,5674 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 9229,5674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9229,5674) = 1

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

GCF(9229,5674) x common factors =1 x 1 = 1

LCM(9229,5674) = ( 9229 × 5674 ) / 1

LCM(9229,5674) = 52365346 / 1

LCM(9229,5674) = 52365346


Lets's calculate GCF of 207,6273

3 207, 6273
3 69, 2091
23, 697

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52365346/9

Therefore the LCM of Fractions 9229/207,5674/6273 is 52365346/9

Greatest Common Factor of 207,6273 By Matching Biggest Common Factor Method

Greatest Common Factor of 207,6273 By Matching Biggest Common Factor Method

Factors of 207

List of positive integer factors of 207 that divides 207 without a remainder.

1,3,9,23,69,207

Factors of 6273

List of positive integer factors of 6273 that divides 6273 without a remainder.

1,3,9,17,41,51,123,153,369,697,2091,6273

Greatest Common Factor

We found the factors 207,6273 . The biggest common factor number is the GCF number.
So the greatest common factor 207,6273 is 9.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9229/207, 5674/6273

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 9229/207, 5674/6273?

Answer: LCM of Numerators as per given numbers 9229/207, 5674/6273 is

LCM of Numerators i.e. for 9229,5674 is 52365346

GCF of denominators i.e. for 207,6273 is 9.

Thus, LCM of Fractions is 52365346/9.Finally, LCM of Fractions for 9229/207, 5674/6273 is 52365346/9.