Least Common Multiple of 5987/308, 4684/3164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5987/308, 4684/3164 quickly i.e. 28043108/28 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5987/308, 4684/3164 is 28043108/28.

LCM(5987/308, 4684/3164) = 28043108/28

LCM of 5987/308, 4684/3164

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 5987/308,4684/3164

Given numbers are 5987/308,4684/3164

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 5987,4684

Least Common Multiple of Numerators i.e. LCM of 5987,4684 is 28043108.

GCF of Denominators means GCF of 308,3164 as per the given fractions.

GCF of 308,3164 is 28 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5987,4684

LCM of Fractions 5987/308,4684/3164 is 28043108/28

Given numbers has no common factors except 1. So, there LCM is their product i.e 28043108

Least Common Multiple of 5987,4684 with GCF Formula

Least Common Multiple of 5987,4684 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 5987,4684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5987,4684) = 1

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

GCF(5987,4684) x common factors =1 x 1 = 1

LCM(5987,4684) = ( 5987 × 4684 ) / 1

LCM(5987,4684) = 28043108 / 1

LCM(5987,4684) = 28043108


Lets's calculate GCF of 308,3164

2 308, 3164
2 154, 1582
7 77, 791
11, 113

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28043108/28

Therefore the LCM of Fractions 5987/308,4684/3164 is 28043108/28

Greatest Common Factor of 308,3164 By Matching Biggest Common Factor Method

Greatest Common Factor of 308,3164 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 3164

List of positive integer factors of 3164 that divides 3164 without a remainder.

1,2,4,7,14,28,113,226,452,791,1582,3164

Greatest Common Factor

We found the factors 308,3164 . The biggest common factor number is the GCF number.
So the greatest common factor 308,3164 is 28.


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 5987/308, 4684/3164

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 5987/308, 4684/3164?

Answer: LCM of Numerators as per given numbers 5987/308, 4684/3164 is

LCM of Numerators i.e. for 5987,4684 is 28043108

GCF of denominators i.e. for 308,3164 is 28.

Thus, LCM of Fractions is 28043108/28.Finally, LCM of Fractions for 5987/308, 4684/3164 is 28043108/28.