Least Common Multiple of 5671/600, 5973/960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5671/600, 5973/960 quickly i.e. 33872883/120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5671/600, 5973/960 is 33872883/120.

LCM(5671/600, 5973/960) = 33872883/120

LCM of 5671/600, 5973/960

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 5671/600,5973/960

Given numbers are 5671/600,5973/960

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 5671,5973

Least Common Multiple of Numerators i.e. LCM of 5671,5973 is 33872883.

GCF of Denominators means GCF of 600,960 as per the given fractions.

GCF of 600,960 is 120 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5671,5973

LCM of Fractions 5671/600,5973/960 is 33872883/120

Given numbers has no common factors except 1. So, there LCM is their product i.e 33872883

Least Common Multiple of 5671,5973 with GCF Formula

Least Common Multiple of 5671,5973 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 5671,5973 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5671,5973) = 1

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

GCF(5671,5973) x common factors =1 x 1 = 1

LCM(5671,5973) = ( 5671 × 5973 ) / 1

LCM(5671,5973) = 33872883 / 1

LCM(5671,5973) = 33872883


Lets's calculate GCF of 600,960

2 600, 960
2 300, 480
2 150, 240
3 75, 120
5 25, 40
5, 8

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 x 5 = 120

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33872883/120

Therefore the LCM of Fractions 5671/600,5973/960 is 33872883/120

Greatest Common Factor of 600,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 600,960 By Matching Biggest Common Factor Method

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 600,960 . The biggest common factor number is the GCF number.
So the greatest common factor 600,960 is 120.


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 5671/600, 5973/960

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 5671/600, 5973/960?

Answer: LCM of Numerators as per given numbers 5671/600, 5973/960 is

LCM of Numerators i.e. for 5671,5973 is 33872883

GCF of denominators i.e. for 600,960 is 120.

Thus, LCM of Fractions is 33872883/120.Finally, LCM of Fractions for 5671/600, 5973/960 is 33872883/120.