Least Common Multiple of 1486/960, 8918/5900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1486/960, 8918/5900 quickly i.e. 6626074/20 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1486/960, 8918/5900 is 6626074/20.

LCM(1486/960, 8918/5900) = 6626074/20

LCM of 1486/960, 8918/5900

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 1486/960,8918/5900

Given numbers are 1486/960,8918/5900

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 1486,8918

Least Common Multiple of Numerators i.e. LCM of 1486,8918 is 6626074.

GCF of Denominators means GCF of 960,5900 as per the given fractions.

GCF of 960,5900 is 20 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1486,8918

LCM of Fractions 1486/960,8918/5900 is 6626074/20

2 1486, 8918
743, 4459

∴ So the LCM of the given numbers is 2 x 743 x 4459 = 6626074

Least Common Multiple of 1486,8918 with GCF Formula

Least Common Multiple of 1486,8918 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 1486,8918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1486,8918) = 2

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

GCF(1486,8918) x common factors =2 x 1 = 2

LCM(1486,8918) = ( 1486 × 8918 ) / 2

LCM(1486,8918) = 13252148 / 2

LCM(1486,8918) = 6626074


Lets's calculate GCF of 960,5900

2 960, 5900
2 480, 2950
5 240, 1475
48, 295

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6626074/20

Therefore the LCM of Fractions 1486/960,8918/5900 is 6626074/20

Greatest Common Factor of 960,5900 By Matching Biggest Common Factor Method

Greatest Common Factor of 960,5900 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 5900

List of positive integer factors of 5900 that divides 5900 without a remainder.

1,2,4,5,10,20,25,50,59,100,118,236,295,590,1180,1475,2950,5900

Greatest Common Factor

We found the factors 960,5900 . The biggest common factor number is the GCF number.
So the greatest common factor 960,5900 is 20.


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 1486/960, 8918/5900

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 1486/960, 8918/5900?

Answer: LCM of Numerators as per given numbers 1486/960, 8918/5900 is

LCM of Numerators i.e. for 1486,8918 is 6626074

GCF of denominators i.e. for 960,5900 is 20.

Thus, LCM of Fractions is 6626074/20.Finally, LCM of Fractions for 1486/960, 8918/5900 is 6626074/20.