Least Common Multiple of 3958/990, 2168/8320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3958/990, 2168/8320 quickly i.e. 4290472/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3958/990, 2168/8320 is 4290472/10.

LCM(3958/990, 2168/8320) = 4290472/10

LCM of 3958/990, 2168/8320

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 3958/990,2168/8320

Given numbers are 3958/990,2168/8320

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 3958,2168

Least Common Multiple of Numerators i.e. LCM of 3958,2168 is 4290472.

GCF of Denominators means GCF of 990,8320 as per the given fractions.

GCF of 990,8320 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3958,2168

LCM of Fractions 3958/990,2168/8320 is 4290472/10

2 3958, 2168
1979, 1084

∴ So the LCM of the given numbers is 2 x 1979 x 1084 = 4290472

Least Common Multiple of 3958,2168 with GCF Formula

Least Common Multiple of 3958,2168 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 3958,2168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3958,2168) = 2

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

GCF(3958,2168) x common factors =2 x 1 = 2

LCM(3958,2168) = ( 3958 × 2168 ) / 2

LCM(3958,2168) = 8580944 / 2

LCM(3958,2168) = 4290472


Lets's calculate GCF of 990,8320

2 990, 8320
5 495, 4160
99, 832

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4290472/10

Therefore the LCM of Fractions 3958/990,2168/8320 is 4290472/10

Greatest Common Factor of 990,8320 By Matching Biggest Common Factor Method

Greatest Common Factor of 990,8320 By Matching Biggest Common Factor Method

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Factors of 8320

List of positive integer factors of 8320 that divides 8320 without a remainder.

1,2,4,5,8,10,13,16,20,26,32,40,52,64,65,80,104,128,130,160,208,260,320,416,520,640,832,1040,1664,2080,4160,8320

Greatest Common Factor

We found the factors 990,8320 . The biggest common factor number is the GCF number.
So the greatest common factor 990,8320 is 10.


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 3958/990, 2168/8320

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 3958/990, 2168/8320?

Answer: LCM of Numerators as per given numbers 3958/990, 2168/8320 is

LCM of Numerators i.e. for 3958,2168 is 4290472

GCF of denominators i.e. for 990,8320 is 10.

Thus, LCM of Fractions is 4290472/10.Finally, LCM of Fractions for 3958/990, 2168/8320 is 4290472/10.