Least Common Multiple of 4391/238, 7004/586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4391/238, 7004/586 quickly i.e. 15377282 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4391/238, 7004/586 is 15377282.

LCM(4391/238, 7004/586) = 15377282

LCM of 4391/238, 7004/586

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 4391/238,7004/586

Given numbers are 4391/238,7004/586

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 4391,7004

Least Common Multiple of Numerators i.e. LCM of 4391,7004 is 30754564.

GCF of Denominators means GCF of 238,586 as per the given fractions.

GCF of 238,586 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4391,7004

LCM of Fractions 4391/238,7004/586 is 15377282

Given numbers has no common factors except 1. So, there LCM is their product i.e 30754564

Least Common Multiple of 4391,7004 with GCF Formula

Least Common Multiple of 4391,7004 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 4391,7004 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4391,7004) = 1

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

GCF(4391,7004) x common factors =1 x 1 = 1

LCM(4391,7004) = ( 4391 × 7004 ) / 1

LCM(4391,7004) = 30754564 / 1

LCM(4391,7004) = 30754564


Lets's calculate GCF of 238,586

2 238, 586
119, 293

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30754564/2

Therefore the LCM of Fractions 4391/238,7004/586 is 15377282

Greatest Common Factor of 238,586 By Matching Biggest Common Factor Method

Greatest Common Factor of 238,586 By Matching Biggest Common Factor Method

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Greatest Common Factor

We found the factors 238,586 . The biggest common factor number is the GCF number.
So the greatest common factor 238,586 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 4391/238, 7004/586

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 4391/238, 7004/586?

Answer: LCM of Numerators as per given numbers 4391/238, 7004/586 is

LCM of Numerators i.e. for 4391,7004 is 30754564

GCF of denominators i.e. for 238,586 is 2.

Thus, LCM of Fractions is 15377282.Finally, LCM of Fractions for 4391/238, 7004/586 is 15377282.