Least Common Multiple of 29/519, 992/789, 836/130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/519, 992/789, 836/130 quickly i.e. 6012512 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/519, 992/789, 836/130 is 6012512.

LCM(29/519, 992/789, 836/130) = 6012512

LCM of 29/519, 992/789, 836/130

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 29/519,992/789,836/130

Given numbers are 29/519,992/789,836/130

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 29,992,836

Least Common Multiple of Numerators i.e. LCM of 29,992,836 is 6012512.

GCF of Denominators means GCF of 519,789,130 as per the given fractions.

GCF of 519,789,130 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,992,836

LCM of Fractions 29/519,992/789,836/130 is 6012512

2 29, 992, 836
2 29, 496, 418
29, 248, 209

∴ So the LCM of the given numbers is 2 x 2 x 29 x 248 x 209 = 6012512

Least Common Multiple of 29,992,836 with GCF Formula

Least Common Multiple of 29,992,836 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 29,992,836 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,992,836) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(29,992,836) x common factors =1 x 4 = 4

LCM(29,992,836) = ( 29 × 992 × 836 ) / 4

LCM(29,992,836) = 24050048 / 4

LCM(29,992,836) = 6012512


Lets's calculate GCF of 519,789,130

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6012512/1

Therefore the LCM of Fractions 29/519,992/789,836/130 is 6012512

Greatest Common Factor of 519,789,130 By Matching Biggest Common Factor Method

Greatest Common Factor of 519,789,130 By Matching Biggest Common Factor Method

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Greatest Common Factor

We found the factors 519,789,130 . The biggest common factor number is the GCF number.
So the greatest common factor 519,789,130 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 29/519, 992/789, 836/130

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 29/519, 992/789, 836/130?

Answer: LCM of Numerators as per given numbers 29/519, 992/789, 836/130 is

LCM of Numerators i.e. for 29,992,836 is 6012512

GCF of denominators i.e. for 519,789,130 is 1.

Thus, LCM of Fractions is 6012512.Finally, LCM of Fractions for 29/519, 992/789, 836/130 is 6012512.