Least Common Multiple of 77/65, 14/59, 38/29, 12/521

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/65, 14/59, 38/29, 12/521 quickly i.e. 17556 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/65, 14/59, 38/29, 12/521 is 17556.

LCM(77/65, 14/59, 38/29, 12/521) = 17556

LCM of 77/65, 14/59, 38/29, 12/521

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 77/65,14/59,38/29,12/521

Given numbers are 77/65,14/59,38/29,12/521

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 77,14,38,12

Least Common Multiple of Numerators i.e. LCM of 77,14,38,12 is 17556.

GCF of Denominators means GCF of 65,59,29,521 as per the given fractions.

GCF of 65,59,29,521 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,14,38,12

LCM of Fractions 77/65,14/59,38/29,12/521 is 17556

2 77, 14, 38, 12
7 77, 7, 19, 6
11, 1, 19, 6

∴ So the LCM of the given numbers is 2 x 7 x 11 x 1 x 19 x 6 = 17556

Least Common Multiple of 77,14,38,12 with GCF Formula

Least Common Multiple of 77,14,38,12 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 77,14,38,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,14,38,12) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(77,14,38,12) x common factors =1 x 28 = 28

LCM(77,14,38,12) = ( 77 × 14 × 38 × 12 ) / 28

LCM(77,14,38,12) = 491568 / 28

LCM(77,14,38,12) = 17556


Lets's calculate GCF of 65,59,29,521

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17556/1

Therefore the LCM of Fractions 77/65,14/59,38/29,12/521 is 17556

Greatest Common Factor of 65,59,29,521 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,59,29,521 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 59

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

1,59

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 521

List of positive integer factors of 521 that divides 521 without a remainder.

1,521

Greatest Common Factor

We found the factors 65,59,29,521 . The biggest common factor number is the GCF number.
So the greatest common factor 65,59,29,521 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 77/65, 14/59, 38/29, 12/521

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 77/65, 14/59, 38/29, 12/521?

Answer: LCM of Numerators as per given numbers 77/65, 14/59, 38/29, 12/521 is

LCM of Numerators i.e. for 77,14,38,12 is 17556

GCF of denominators i.e. for 65,59,29,521 is 1.

Thus, LCM of Fractions is 17556.Finally, LCM of Fractions for 77/65, 14/59, 38/29, 12/521 is 17556.