Least Common Multiple of 5528/432, 8720/6303

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5528/432, 8720/6303 quickly i.e. 6025520/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5528/432, 8720/6303 is 6025520/3.

LCM(5528/432, 8720/6303) = 6025520/3

LCM of 5528/432, 8720/6303

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 5528/432,8720/6303

Given numbers are 5528/432,8720/6303

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 5528,8720

Least Common Multiple of Numerators i.e. LCM of 5528,8720 is 6025520.

GCF of Denominators means GCF of 432,6303 as per the given fractions.

GCF of 432,6303 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5528,8720

LCM of Fractions 5528/432,8720/6303 is 6025520/3

2 5528, 8720
2 2764, 4360
2 1382, 2180
691, 1090

∴ So the LCM of the given numbers is 2 x 2 x 2 x 691 x 1090 = 6025520

Least Common Multiple of 5528,8720 with GCF Formula

Least Common Multiple of 5528,8720 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 5528,8720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5528,8720) = 8

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

GCF(5528,8720) x common factors =8 x 1 = 8

LCM(5528,8720) = ( 5528 × 8720 ) / 8

LCM(5528,8720) = 48204160 / 8

LCM(5528,8720) = 6025520


Lets's calculate GCF of 432,6303

3 432, 6303
144, 2101

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6025520/3

Therefore the LCM of Fractions 5528/432,8720/6303 is 6025520/3

Greatest Common Factor of 432,6303 By Matching Biggest Common Factor Method

Greatest Common Factor of 432,6303 By Matching Biggest Common Factor Method

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Factors of 6303

List of positive integer factors of 6303 that divides 6303 without a remainder.

1,3,11,33,191,573,2101,6303

Greatest Common Factor

We found the factors 432,6303 . The biggest common factor number is the GCF number.
So the greatest common factor 432,6303 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5528/432, 8720/6303

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 5528/432, 8720/6303?

Answer: LCM of Numerators as per given numbers 5528/432, 8720/6303 is

LCM of Numerators i.e. for 5528,8720 is 6025520

GCF of denominators i.e. for 432,6303 is 3.

Thus, LCM of Fractions is 6025520/3.Finally, LCM of Fractions for 5528/432, 8720/6303 is 6025520/3.