Least Common Multiple of 135/68, 321/9988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 135/68, 321/9988 quickly i.e. 14445/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 135/68, 321/9988 is 14445/4.

LCM(135/68, 321/9988) = 14445/4

LCM of 135/68, 321/9988

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 135/68,321/9988

Given numbers are 135/68,321/9988

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 135,321

Least Common Multiple of Numerators i.e. LCM of 135,321 is 14445.

GCF of Denominators means GCF of 68,9988 as per the given fractions.

GCF of 68,9988 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 135,321

LCM of Fractions 135/68,321/9988 is 14445/4

3 135, 321
45, 107

∴ So the LCM of the given numbers is 3 x 45 x 107 = 14445

Least Common Multiple of 135,321 with GCF Formula

Least Common Multiple of 135,321 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 135,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(135,321) = 3

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

GCF(135,321) x common factors =3 x 1 = 3

LCM(135,321) = ( 135 × 321 ) / 3

LCM(135,321) = 43335 / 3

LCM(135,321) = 14445


Lets's calculate GCF of 68,9988

2 68, 9988
2 34, 4994
17, 2497

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14445/4

Therefore the LCM of Fractions 135/68,321/9988 is 14445/4

Greatest Common Factor of 68,9988 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,9988 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 9988

List of positive integer factors of 9988 that divides 9988 without a remainder.

1,2,4,11,22,44,227,454,908,2497,4994,9988

Greatest Common Factor

We found the factors 68,9988 . The biggest common factor number is the GCF number.
So the greatest common factor 68,9988 is 4.


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 135/68, 321/9988

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 135/68, 321/9988?

Answer: LCM of Numerators as per given numbers 135/68, 321/9988 is

LCM of Numerators i.e. for 135,321 is 14445

GCF of denominators i.e. for 68,9988 is 4.

Thus, LCM of Fractions is 14445/4.Finally, LCM of Fractions for 135/68, 321/9988 is 14445/4.