Least Common Multiple of 34/99, 17/544, 908/421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/99, 17/544, 908/421 quickly i.e. 15436 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/99, 17/544, 908/421 is 15436.

LCM(34/99, 17/544, 908/421) = 15436

LCM of 34/99, 17/544, 908/421

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 34/99,17/544,908/421

Given numbers are 34/99,17/544,908/421

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 34,17,908

Least Common Multiple of Numerators i.e. LCM of 34,17,908 is 15436.

GCF of Denominators means GCF of 99,544,421 as per the given fractions.

GCF of 99,544,421 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,17,908

LCM of Fractions 34/99,17/544,908/421 is 15436

2 34, 17, 908
17 17, 17, 454
1, 1, 454

∴ So the LCM of the given numbers is 2 x 17 x 1 x 1 x 454 = 15436

Least Common Multiple of 34,17,908 with GCF Formula

Least Common Multiple of 34,17,908 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 34,17,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,17,908) = 1

common factors(in case of two or more numbers have common factors) = 34

GCF(34,17,908) x common factors =1 x 34 = 34

LCM(34,17,908) = ( 34 × 17 × 908 ) / 34

LCM(34,17,908) = 524824 / 34

LCM(34,17,908) = 15436


Lets's calculate GCF of 99,544,421

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15436/1

Therefore the LCM of Fractions 34/99,17/544,908/421 is 15436

Greatest Common Factor of 99,544,421 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,544,421 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Greatest Common Factor

We found the factors 99,544,421 . The biggest common factor number is the GCF number.
So the greatest common factor 99,544,421 is 1.


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 34/99, 17/544, 908/421

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 34/99, 17/544, 908/421?

Answer: LCM of Numerators as per given numbers 34/99, 17/544, 908/421 is

LCM of Numerators i.e. for 34,17,908 is 15436

GCF of denominators i.e. for 99,544,421 is 1.

Thus, LCM of Fractions is 15436.Finally, LCM of Fractions for 34/99, 17/544, 908/421 is 15436.