Least Common Multiple of 7012/829, 7882/5788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7012/829, 7882/5788 quickly i.e. 27634292 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7012/829, 7882/5788 is 27634292.

LCM(7012/829, 7882/5788) = 27634292

LCM of 7012/829, 7882/5788

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 7012/829,7882/5788

Given numbers are 7012/829,7882/5788

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 7012,7882

Least Common Multiple of Numerators i.e. LCM of 7012,7882 is 27634292.

GCF of Denominators means GCF of 829,5788 as per the given fractions.

GCF of 829,5788 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7012,7882

LCM of Fractions 7012/829,7882/5788 is 27634292

2 7012, 7882
3506, 3941

∴ So the LCM of the given numbers is 2 x 3506 x 3941 = 27634292

Least Common Multiple of 7012,7882 with GCF Formula

Least Common Multiple of 7012,7882 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 7012,7882 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7012,7882) = 2

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

GCF(7012,7882) x common factors =2 x 1 = 2

LCM(7012,7882) = ( 7012 × 7882 ) / 2

LCM(7012,7882) = 55268584 / 2

LCM(7012,7882) = 27634292


Lets's calculate GCF of 829,5788

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27634292/1

Therefore the LCM of Fractions 7012/829,7882/5788 is 27634292

Greatest Common Factor of 829,5788 By Matching Biggest Common Factor Method

Greatest Common Factor of 829,5788 By Matching Biggest Common Factor Method

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Factors of 5788

List of positive integer factors of 5788 that divides 5788 without a remainder.

1,2,4,1447,2894,5788

Greatest Common Factor

We found the factors 829,5788 . The biggest common factor number is the GCF number.
So the greatest common factor 829,5788 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 7012/829, 7882/5788

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 7012/829, 7882/5788?

Answer: LCM of Numerators as per given numbers 7012/829, 7882/5788 is

LCM of Numerators i.e. for 7012,7882 is 27634292

GCF of denominators i.e. for 829,5788 is 1.

Thus, LCM of Fractions is 27634292.Finally, LCM of Fractions for 7012/829, 7882/5788 is 27634292.