Least Common Multiple of 3313/960, 2487/700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3313/960, 2487/700 quickly i.e. 8239431/20 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3313/960, 2487/700 is 8239431/20.

LCM(3313/960, 2487/700) = 8239431/20

LCM of 3313/960, 2487/700

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 3313/960,2487/700

Given numbers are 3313/960,2487/700

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 3313,2487

Least Common Multiple of Numerators i.e. LCM of 3313,2487 is 8239431.

GCF of Denominators means GCF of 960,700 as per the given fractions.

GCF of 960,700 is 20 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3313,2487

LCM of Fractions 3313/960,2487/700 is 8239431/20

Given numbers has no common factors except 1. So, there LCM is their product i.e 8239431

Least Common Multiple of 3313,2487 with GCF Formula

Least Common Multiple of 3313,2487 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 3313,2487 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3313,2487) = 1

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

GCF(3313,2487) x common factors =1 x 1 = 1

LCM(3313,2487) = ( 3313 × 2487 ) / 1

LCM(3313,2487) = 8239431 / 1

LCM(3313,2487) = 8239431


Lets's calculate GCF of 960,700

2 960, 700
2 480, 350
5 240, 175
48, 35

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8239431/20

Therefore the LCM of Fractions 3313/960,2487/700 is 8239431/20

Greatest Common Factor of 960,700 By Matching Biggest Common Factor Method

Greatest Common Factor of 960,700 By Matching Biggest Common Factor Method

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

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 960,700 . The biggest common factor number is the GCF number.
So the greatest common factor 960,700 is 20.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3313/960, 2487/700

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 3313/960, 2487/700?

Answer: LCM of Numerators as per given numbers 3313/960, 2487/700 is

LCM of Numerators i.e. for 3313,2487 is 8239431

GCF of denominators i.e. for 960,700 is 20.

Thus, LCM of Fractions is 8239431/20.Finally, LCM of Fractions for 3313/960, 2487/700 is 8239431/20.