Least Common Multiple of 5902/688, 4788/129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5902/688, 4788/129 quickly i.e. 14129388/43 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5902/688, 4788/129 is 14129388/43.

LCM(5902/688, 4788/129) = 14129388/43

LCM of 5902/688, 4788/129

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 5902/688,4788/129

Given numbers are 5902/688,4788/129

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 5902,4788

Least Common Multiple of Numerators i.e. LCM of 5902,4788 is 14129388.

GCF of Denominators means GCF of 688,129 as per the given fractions.

GCF of 688,129 is 43 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5902,4788

LCM of Fractions 5902/688,4788/129 is 14129388/43

2 5902, 4788
2951, 2394

∴ So the LCM of the given numbers is 2 x 2951 x 2394 = 14129388

Least Common Multiple of 5902,4788 with GCF Formula

Least Common Multiple of 5902,4788 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 5902,4788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5902,4788) = 2

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

GCF(5902,4788) x common factors =2 x 1 = 2

LCM(5902,4788) = ( 5902 × 4788 ) / 2

LCM(5902,4788) = 28258776 / 2

LCM(5902,4788) = 14129388


Lets's calculate GCF of 688,129

43 688, 129
16, 3

∴ So the GCF of the given numbers is 43 = 43

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14129388/43

Therefore the LCM of Fractions 5902/688,4788/129 is 14129388/43

Greatest Common Factor of 688,129 By Matching Biggest Common Factor Method

Greatest Common Factor of 688,129 By Matching Biggest Common Factor Method

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1,3,43,129

Greatest Common Factor

We found the factors 688,129 . The biggest common factor number is the GCF number.
So the greatest common factor 688,129 is 43.


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 5902/688, 4788/129

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 5902/688, 4788/129?

Answer: LCM of Numerators as per given numbers 5902/688, 4788/129 is

LCM of Numerators i.e. for 5902,4788 is 14129388

GCF of denominators i.e. for 688,129 is 43.

Thus, LCM of Fractions is 14129388/43.Finally, LCM of Fractions for 5902/688, 4788/129 is 14129388/43.