Least Common Multiple of 327/746, 8960/4680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 327/746, 8960/4680 quickly i.e. 1464960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 327/746, 8960/4680 is 1464960.

LCM(327/746, 8960/4680) = 1464960

LCM of 327/746, 8960/4680

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 327/746,8960/4680

Given numbers are 327/746,8960/4680

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 327,8960

Least Common Multiple of Numerators i.e. LCM of 327,8960 is 2929920.

GCF of Denominators means GCF of 746,4680 as per the given fractions.

GCF of 746,4680 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 327,8960

LCM of Fractions 327/746,8960/4680 is 1464960

Given numbers has no common factors except 1. So, there LCM is their product i.e 2929920

Least Common Multiple of 327,8960 with GCF Formula

Least Common Multiple of 327,8960 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 327,8960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(327,8960) = 1

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

GCF(327,8960) x common factors =1 x 1 = 1

LCM(327,8960) = ( 327 × 8960 ) / 1

LCM(327,8960) = 2929920 / 1

LCM(327,8960) = 2929920


Lets's calculate GCF of 746,4680

2 746, 4680
373, 2340

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2929920/2

Therefore the LCM of Fractions 327/746,8960/4680 is 1464960

Greatest Common Factor of 746,4680 By Matching Biggest Common Factor Method

Greatest Common Factor of 746,4680 By Matching Biggest Common Factor Method

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Factors of 4680

List of positive integer factors of 4680 that divides 4680 without a remainder.

1,2,3,4,5,6,8,9,10,12,13,15,18,20,24,26,30,36,39,40,45,52,60,65,72,78,90,104,117,120,130,156,180,195,234,260,312,360,390,468,520,585,780,936,1170,1560,2340,4680

Greatest Common Factor

We found the factors 746,4680 . The biggest common factor number is the GCF number.
So the greatest common factor 746,4680 is 2.


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 327/746, 8960/4680

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 327/746, 8960/4680?

Answer: LCM of Numerators as per given numbers 327/746, 8960/4680 is

LCM of Numerators i.e. for 327,8960 is 2929920

GCF of denominators i.e. for 746,4680 is 2.

Thus, LCM of Fractions is 1464960.Finally, LCM of Fractions for 327/746, 8960/4680 is 1464960.