Least Common Multiple of 99/436, 476/426, 546/998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/436, 476/426, 546/998 quickly i.e. 306306 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/436, 476/426, 546/998 is 306306.

LCM(99/436, 476/426, 546/998) = 306306

LCM of 99/436, 476/426, 546/998

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 99/436,476/426,546/998

Given numbers are 99/436,476/426,546/998

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 99,476,546

Least Common Multiple of Numerators i.e. LCM of 99,476,546 is 612612.

GCF of Denominators means GCF of 436,426,998 as per the given fractions.

GCF of 436,426,998 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,476,546

LCM of Fractions 99/436,476/426,546/998 is 306306

2 99, 476, 546
3 99, 238, 273
7 33, 238, 91
33, 34, 13

∴ So the LCM of the given numbers is 2 x 3 x 7 x 33 x 34 x 13 = 612612

Least Common Multiple of 99,476,546 with GCF Formula

Least Common Multiple of 99,476,546 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 99,476,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,476,546) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(99,476,546) x common factors =1 x 42 = 42

LCM(99,476,546) = ( 99 × 476 × 546 ) / 42

LCM(99,476,546) = 25729704 / 42

LCM(99,476,546) = 612612


Lets's calculate GCF of 436,426,998

2 436, 426, 998
218, 213, 499

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 612612/2

Therefore the LCM of Fractions 99/436,476/426,546/998 is 306306

Greatest Common Factor of 436,426,998 By Matching Biggest Common Factor Method

Greatest Common Factor of 436,426,998 By Matching Biggest Common Factor Method

Factors of 436

List of positive integer factors of 436 that divides 436 without a remainder.

1,2,4,109,218,436

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Greatest Common Factor

We found the factors 436,426,998 . The biggest common factor number is the GCF number.
So the greatest common factor 436,426,998 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 99/436, 476/426, 546/998

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 99/436, 476/426, 546/998?

Answer: LCM of Numerators as per given numbers 99/436, 476/426, 546/998 is

LCM of Numerators i.e. for 99,476,546 is 612612

GCF of denominators i.e. for 436,426,998 is 2.

Thus, LCM of Fractions is 306306.Finally, LCM of Fractions for 99/436, 476/426, 546/998 is 306306.