Least Common Multiple of 8833/612, 4303/782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8833/612, 4303/782 quickly i.e. 38008399/34 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8833/612, 4303/782 is 38008399/34.

LCM(8833/612, 4303/782) = 38008399/34

LCM of 8833/612, 4303/782

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 8833/612,4303/782

Given numbers are 8833/612,4303/782

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 8833,4303

Least Common Multiple of Numerators i.e. LCM of 8833,4303 is 38008399.

GCF of Denominators means GCF of 612,782 as per the given fractions.

GCF of 612,782 is 34 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8833,4303

LCM of Fractions 8833/612,4303/782 is 38008399/34

Given numbers has no common factors except 1. So, there LCM is their product i.e 38008399

Least Common Multiple of 8833,4303 with GCF Formula

Least Common Multiple of 8833,4303 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 8833,4303 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8833,4303) = 1

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

GCF(8833,4303) x common factors =1 x 1 = 1

LCM(8833,4303) = ( 8833 × 4303 ) / 1

LCM(8833,4303) = 38008399 / 1

LCM(8833,4303) = 38008399


Lets's calculate GCF of 612,782

2 612, 782
17 306, 391
18, 23

∴ So the GCF of the given numbers is 2 x 17 = 34

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38008399/34

Therefore the LCM of Fractions 8833/612,4303/782 is 38008399/34

Greatest Common Factor of 612,782 By Matching Biggest Common Factor Method

Greatest Common Factor of 612,782 By Matching Biggest Common Factor Method

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Greatest Common Factor

We found the factors 612,782 . The biggest common factor number is the GCF number.
So the greatest common factor 612,782 is 34.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8833/612, 4303/782

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 8833/612, 4303/782?

Answer: LCM of Numerators as per given numbers 8833/612, 4303/782 is

LCM of Numerators i.e. for 8833,4303 is 38008399

GCF of denominators i.e. for 612,782 is 34.

Thus, LCM of Fractions is 38008399/34.Finally, LCM of Fractions for 8833/612, 4303/782 is 38008399/34.