Least Common Multiple of 62/27, 60/83, 53/89, 90/511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 62/27, 60/83, 53/89, 90/511 quickly i.e. 295740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/27, 60/83, 53/89, 90/511 is 295740.

LCM(62/27, 60/83, 53/89, 90/511) = 295740

LCM of 62/27, 60/83, 53/89, 90/511

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 62/27,60/83,53/89,90/511

Given numbers are 62/27,60/83,53/89,90/511

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 62,60,53,90

Least Common Multiple of Numerators i.e. LCM of 62,60,53,90 is 295740.

GCF of Denominators means GCF of 27,83,89,511 as per the given fractions.

GCF of 27,83,89,511 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,60,53,90

LCM of Fractions 62/27,60/83,53/89,90/511 is 295740

2 62, 60, 53, 90
3 31, 30, 53, 45
5 31, 10, 53, 15
31, 2, 53, 3

∴ So the LCM of the given numbers is 2 x 3 x 5 x 31 x 2 x 53 x 3 = 295740

Least Common Multiple of 62,60,53,90 with GCF Formula

Least Common Multiple of 62,60,53,90 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 62,60,53,90 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,60,53,90) = 1

common factors(in case of two or more numbers have common factors) = 60

GCF(62,60,53,90) x common factors =1 x 60 = 60

LCM(62,60,53,90) = ( 62 × 60 × 53 × 90 ) / 60

LCM(62,60,53,90) = 17744400 / 60

LCM(62,60,53,90) = 295740


Lets's calculate GCF of 27,83,89,511

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 295740/1

Therefore the LCM of Fractions 62/27,60/83,53/89,90/511 is 295740

Greatest Common Factor of 27,83,89,511 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,83,89,511 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 83

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

1,83

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 511

List of positive integer factors of 511 that divides 511 without a remainder.

1,7,73,511

Greatest Common Factor

We found the factors 27,83,89,511 . The biggest common factor number is the GCF number.
So the greatest common factor 27,83,89,511 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 62/27, 60/83, 53/89, 90/511

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 62/27, 60/83, 53/89, 90/511?

Answer: LCM of Numerators as per given numbers 62/27, 60/83, 53/89, 90/511 is

LCM of Numerators i.e. for 62,60,53,90 is 295740

GCF of denominators i.e. for 27,83,89,511 is 1.

Thus, LCM of Fractions is 295740.Finally, LCM of Fractions for 62/27, 60/83, 53/89, 90/511 is 295740.