Least Common Multiple of 99/803, 10/428, 741/363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 99/803, 10/428, 741/363 quickly i.e. 244530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/803, 10/428, 741/363 is 244530.

LCM(99/803, 10/428, 741/363) = 244530

LCM of 99/803, 10/428, 741/363

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 99/803,10/428,741/363

Given numbers are 99/803,10/428,741/363

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 99,10,741

Least Common Multiple of Numerators i.e. LCM of 99,10,741 is 244530.

GCF of Denominators means GCF of 803,428,363 as per the given fractions.

GCF of 803,428,363 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,10,741

LCM of Fractions 99/803,10/428,741/363 is 244530

3 99, 10, 741
33, 10, 247

∴ So the LCM of the given numbers is 3 x 33 x 10 x 247 = 244530

Least Common Multiple of 99,10,741 with GCF Formula

Least Common Multiple of 99,10,741 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 99,10,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,10,741) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(99,10,741) x common factors =1 x 3 = 3

LCM(99,10,741) = ( 99 × 10 × 741 ) / 3

LCM(99,10,741) = 733590 / 3

LCM(99,10,741) = 244530


Lets's calculate GCF of 803,428,363

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 244530/1

Therefore the LCM of Fractions 99/803,10/428,741/363 is 244530

Greatest Common Factor of 803,428,363 By Matching Biggest Common Factor Method

Greatest Common Factor of 803,428,363 By Matching Biggest Common Factor Method

Factors of 803

List of positive integer factors of 803 that divides 803 without a remainder.

1,11,73,803

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Greatest Common Factor

We found the factors 803,428,363 . The biggest common factor number is the GCF number.
So the greatest common factor 803,428,363 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 99/803, 10/428, 741/363

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 99/803, 10/428, 741/363?

Answer: LCM of Numerators as per given numbers 99/803, 10/428, 741/363 is

LCM of Numerators i.e. for 99,10,741 is 244530

GCF of denominators i.e. for 803,428,363 is 1.

Thus, LCM of Fractions is 244530.Finally, LCM of Fractions for 99/803, 10/428, 741/363 is 244530.