Least Common Multiple of 3/83, 9/98, 42/62, 58/486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/83, 9/98, 42/62, 58/486 quickly i.e. 3654 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/83, 9/98, 42/62, 58/486 is 3654.

LCM(3/83, 9/98, 42/62, 58/486) = 3654

LCM of 3/83, 9/98, 42/62, 58/486

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 3/83,9/98,42/62,58/486

Given numbers are 3/83,9/98,42/62,58/486

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 3,9,42,58

Least Common Multiple of Numerators i.e. LCM of 3,9,42,58 is 3654.

GCF of Denominators means GCF of 83,98,62,486 as per the given fractions.

GCF of 83,98,62,486 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,9,42,58

LCM of Fractions 3/83,9/98,42/62,58/486 is 3654

2 3, 9, 42, 58
3 3, 9, 21, 29
1, 3, 7, 29

∴ So the LCM of the given numbers is 2 x 3 x 1 x 3 x 7 x 29 = 3654

Least Common Multiple of 3,9,42,58 with GCF Formula

Least Common Multiple of 3,9,42,58 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 3,9,42,58 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,9,42,58) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(3,9,42,58) x common factors =1 x 18 = 18

LCM(3,9,42,58) = ( 3 × 9 × 42 × 58 ) / 18

LCM(3,9,42,58) = 65772 / 18

LCM(3,9,42,58) = 3654


Lets's calculate GCF of 83,98,62,486

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3654/1

Therefore the LCM of Fractions 3/83,9/98,42/62,58/486 is 3654

Greatest Common Factor of 83,98,62,486 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,98,62,486 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Greatest Common Factor

We found the factors 83,98,62,486 . The biggest common factor number is the GCF number.
So the greatest common factor 83,98,62,486 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 3/83, 9/98, 42/62, 58/486

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 3/83, 9/98, 42/62, 58/486?

Answer: LCM of Numerators as per given numbers 3/83, 9/98, 42/62, 58/486 is

LCM of Numerators i.e. for 3,9,42,58 is 3654

GCF of denominators i.e. for 83,98,62,486 is 1.

Thus, LCM of Fractions is 3654.Finally, LCM of Fractions for 3/83, 9/98, 42/62, 58/486 is 3654.