Least Common Multiple of 8927/628, 1001/960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8927/628, 1001/960 quickly i.e. 8935927/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8927/628, 1001/960 is 8935927/4.

LCM(8927/628, 1001/960) = 8935927/4

LCM of 8927/628, 1001/960

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 8927/628,1001/960

Given numbers are 8927/628,1001/960

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 8927,1001

Least Common Multiple of Numerators i.e. LCM of 8927,1001 is 8935927.

GCF of Denominators means GCF of 628,960 as per the given fractions.

GCF of 628,960 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8927,1001

LCM of Fractions 8927/628,1001/960 is 8935927/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 8935927

Least Common Multiple of 8927,1001 with GCF Formula

Least Common Multiple of 8927,1001 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 8927,1001 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8927,1001) = 1

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

GCF(8927,1001) x common factors =1 x 1 = 1

LCM(8927,1001) = ( 8927 × 1001 ) / 1

LCM(8927,1001) = 8935927 / 1

LCM(8927,1001) = 8935927


Lets's calculate GCF of 628,960

2 628, 960
2 314, 480
157, 240

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8935927/4

Therefore the LCM of Fractions 8927/628,1001/960 is 8935927/4

Greatest Common Factor of 628,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 628,960 By Matching Biggest Common Factor Method

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

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 628,960 . The biggest common factor number is the GCF number.
So the greatest common factor 628,960 is 4.


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 8927/628, 1001/960

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 8927/628, 1001/960?

Answer: LCM of Numerators as per given numbers 8927/628, 1001/960 is

LCM of Numerators i.e. for 8927,1001 is 8935927

GCF of denominators i.e. for 628,960 is 4.

Thus, LCM of Fractions is 8935927/4.Finally, LCM of Fractions for 8927/628, 1001/960 is 8935927/4.