Least Common Multiple of 29/308, 5003/4286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/308, 5003/4286 quickly i.e. 145087/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/308, 5003/4286 is 145087/2.

LCM(29/308, 5003/4286) = 145087/2

LCM of 29/308, 5003/4286

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 29/308,5003/4286

Given numbers are 29/308,5003/4286

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 29,5003

Least Common Multiple of Numerators i.e. LCM of 29,5003 is 145087.

GCF of Denominators means GCF of 308,4286 as per the given fractions.

GCF of 308,4286 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,5003

LCM of Fractions 29/308,5003/4286 is 145087/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 145087

Least Common Multiple of 29,5003 with GCF Formula

Least Common Multiple of 29,5003 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 29,5003 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,5003) = 1

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

GCF(29,5003) x common factors =1 x 1 = 1

LCM(29,5003) = ( 29 × 5003 ) / 1

LCM(29,5003) = 145087 / 1

LCM(29,5003) = 145087


Lets's calculate GCF of 308,4286

2 308, 4286
154, 2143

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 145087/2

Therefore the LCM of Fractions 29/308,5003/4286 is 145087/2

Greatest Common Factor of 308,4286 By Matching Biggest Common Factor Method

Greatest Common Factor of 308,4286 By Matching Biggest Common Factor Method

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Factors of 4286

List of positive integer factors of 4286 that divides 4286 without a remainder.

1,2,2143,4286

Greatest Common Factor

We found the factors 308,4286 . The biggest common factor number is the GCF number.
So the greatest common factor 308,4286 is 2.


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 29/308, 5003/4286

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 29/308, 5003/4286?

Answer: LCM of Numerators as per given numbers 29/308, 5003/4286 is

LCM of Numerators i.e. for 29,5003 is 145087

GCF of denominators i.e. for 308,4286 is 2.

Thus, LCM of Fractions is 145087/2.Finally, LCM of Fractions for 29/308, 5003/4286 is 145087/2.