Least Common Multiple of 77/516, 5796/9069

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/516, 5796/9069 quickly i.e. 21252 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/516, 5796/9069 is 21252.

LCM(77/516, 5796/9069) = 21252

LCM of 77/516, 5796/9069

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 77/516,5796/9069

Given numbers are 77/516,5796/9069

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 77,5796

Least Common Multiple of Numerators i.e. LCM of 77,5796 is 63756.

GCF of Denominators means GCF of 516,9069 as per the given fractions.

GCF of 516,9069 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,5796

LCM of Fractions 77/516,5796/9069 is 21252

7 77, 5796
11, 828

∴ So the LCM of the given numbers is 7 x 11 x 828 = 63756

Least Common Multiple of 77,5796 with GCF Formula

Least Common Multiple of 77,5796 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 77,5796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,5796) = 7

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

GCF(77,5796) x common factors =7 x 1 = 7

LCM(77,5796) = ( 77 × 5796 ) / 7

LCM(77,5796) = 446292 / 7

LCM(77,5796) = 63756


Lets's calculate GCF of 516,9069

3 516, 9069
172, 3023

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63756/3

Therefore the LCM of Fractions 77/516,5796/9069 is 21252

Greatest Common Factor of 516,9069 By Matching Biggest Common Factor Method

Greatest Common Factor of 516,9069 By Matching Biggest Common Factor Method

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Factors of 9069

List of positive integer factors of 9069 that divides 9069 without a remainder.

1,3,3023,9069

Greatest Common Factor

We found the factors 516,9069 . The biggest common factor number is the GCF number.
So the greatest common factor 516,9069 is 3.


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 77/516, 5796/9069

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 77/516, 5796/9069?

Answer: LCM of Numerators as per given numbers 77/516, 5796/9069 is

LCM of Numerators i.e. for 77,5796 is 63756

GCF of denominators i.e. for 516,9069 is 3.

Thus, LCM of Fractions is 21252.Finally, LCM of Fractions for 77/516, 5796/9069 is 21252.