Least Common Multiple of 13/14, 28/99, 30/59, 66/776

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/14, 28/99, 30/59, 66/776 quickly i.e. 60060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/14, 28/99, 30/59, 66/776 is 60060.

LCM(13/14, 28/99, 30/59, 66/776) = 60060

LCM of 13/14, 28/99, 30/59, 66/776

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 13/14,28/99,30/59,66/776

Given numbers are 13/14,28/99,30/59,66/776

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 13,28,30,66

Least Common Multiple of Numerators i.e. LCM of 13,28,30,66 is 60060.

GCF of Denominators means GCF of 14,99,59,776 as per the given fractions.

GCF of 14,99,59,776 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,28,30,66

LCM of Fractions 13/14,28/99,30/59,66/776 is 60060

2 13, 28, 30, 66
3 13, 14, 15, 33
13, 14, 5, 11

∴ So the LCM of the given numbers is 2 x 3 x 13 x 14 x 5 x 11 = 60060

Least Common Multiple of 13,28,30,66 with GCF Formula

Least Common Multiple of 13,28,30,66 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 13,28,30,66 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,28,30,66) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(13,28,30,66) x common factors =1 x 12 = 12

LCM(13,28,30,66) = ( 13 × 28 × 30 × 66 ) / 12

LCM(13,28,30,66) = 720720 / 12

LCM(13,28,30,66) = 60060


Lets's calculate GCF of 14,99,59,776

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60060/1

Therefore the LCM of Fractions 13/14,28/99,30/59,66/776 is 60060

Greatest Common Factor of 14,99,59,776 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,99,59,776 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 99

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

1,3,9,11,33,99

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 776

List of positive integer factors of 776 that divides 776 without a remainder.

1,2,4,8,97,194,388,776

Greatest Common Factor

We found the factors 14,99,59,776 . The biggest common factor number is the GCF number.
So the greatest common factor 14,99,59,776 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 13/14, 28/99, 30/59, 66/776

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 13/14, 28/99, 30/59, 66/776?

Answer: LCM of Numerators as per given numbers 13/14, 28/99, 30/59, 66/776 is

LCM of Numerators i.e. for 13,28,30,66 is 60060

GCF of denominators i.e. for 14,99,59,776 is 1.

Thus, LCM of Fractions is 60060.Finally, LCM of Fractions for 13/14, 28/99, 30/59, 66/776 is 60060.