Least Common Multiple of 5988/669, 3461/5920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5988/669, 3461/5920 quickly i.e. 20724468 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5988/669, 3461/5920 is 20724468.

LCM(5988/669, 3461/5920) = 20724468

LCM of 5988/669, 3461/5920

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 5988/669,3461/5920

Given numbers are 5988/669,3461/5920

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 5988,3461

Least Common Multiple of Numerators i.e. LCM of 5988,3461 is 20724468.

GCF of Denominators means GCF of 669,5920 as per the given fractions.

GCF of 669,5920 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5988,3461

LCM of Fractions 5988/669,3461/5920 is 20724468

Given numbers has no common factors except 1. So, there LCM is their product i.e 20724468

Least Common Multiple of 5988,3461 with GCF Formula

Least Common Multiple of 5988,3461 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 5988,3461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5988,3461) = 1

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

GCF(5988,3461) x common factors =1 x 1 = 1

LCM(5988,3461) = ( 5988 × 3461 ) / 1

LCM(5988,3461) = 20724468 / 1

LCM(5988,3461) = 20724468


Lets's calculate GCF of 669,5920

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20724468/1

Therefore the LCM of Fractions 5988/669,3461/5920 is 20724468

Greatest Common Factor of 669,5920 By Matching Biggest Common Factor Method

Greatest Common Factor of 669,5920 By Matching Biggest Common Factor Method

Factors of 669

List of positive integer factors of 669 that divides 669 without a remainder.

1,3,223,669

Factors of 5920

List of positive integer factors of 5920 that divides 5920 without a remainder.

1,2,4,5,8,10,16,20,32,37,40,74,80,148,160,185,296,370,592,740,1184,1480,2960,5920

Greatest Common Factor

We found the factors 669,5920 . The biggest common factor number is the GCF number.
So the greatest common factor 669,5920 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 5988/669, 3461/5920

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 5988/669, 3461/5920?

Answer: LCM of Numerators as per given numbers 5988/669, 3461/5920 is

LCM of Numerators i.e. for 5988,3461 is 20724468

GCF of denominators i.e. for 669,5920 is 1.

Thus, LCM of Fractions is 20724468.Finally, LCM of Fractions for 5988/669, 3461/5920 is 20724468.