Least Common Multiple of 99/451, 19/477, 282/788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 99/451, 19/477, 282/788 quickly i.e. 176814 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/451, 19/477, 282/788 is 176814.

LCM(99/451, 19/477, 282/788) = 176814

LCM of 99/451, 19/477, 282/788

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 99/451,19/477,282/788

Given numbers are 99/451,19/477,282/788

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 99,19,282

Least Common Multiple of Numerators i.e. LCM of 99,19,282 is 176814.

GCF of Denominators means GCF of 451,477,788 as per the given fractions.

GCF of 451,477,788 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,19,282

LCM of Fractions 99/451,19/477,282/788 is 176814

3 99, 19, 282
33, 19, 94

∴ So the LCM of the given numbers is 3 x 33 x 19 x 94 = 176814

Least Common Multiple of 99,19,282 with GCF Formula

Least Common Multiple of 99,19,282 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 99,19,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,19,282) = 1

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

GCF(99,19,282) x common factors =1 x 3 = 3

LCM(99,19,282) = ( 99 × 19 × 282 ) / 3

LCM(99,19,282) = 530442 / 3

LCM(99,19,282) = 176814


Lets's calculate GCF of 451,477,788

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 176814/1

Therefore the LCM of Fractions 99/451,19/477,282/788 is 176814

Greatest Common Factor of 451,477,788 By Matching Biggest Common Factor Method

Greatest Common Factor of 451,477,788 By Matching Biggest Common Factor Method

Factors of 451

List of positive integer factors of 451 that divides 451 without a remainder.

1,11,41,451

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Greatest Common Factor

We found the factors 451,477,788 . The biggest common factor number is the GCF number.
So the greatest common factor 451,477,788 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 99/451, 19/477, 282/788

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 99/451, 19/477, 282/788?

Answer: LCM of Numerators as per given numbers 99/451, 19/477, 282/788 is

LCM of Numerators i.e. for 99,19,282 is 176814

GCF of denominators i.e. for 451,477,788 is 1.

Thus, LCM of Fractions is 176814.Finally, LCM of Fractions for 99/451, 19/477, 282/788 is 176814.