Least Common Multiple of 7985/464, 2112/2110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7985/464, 2112/2110 quickly i.e. 8432160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7985/464, 2112/2110 is 8432160.

LCM(7985/464, 2112/2110) = 8432160

LCM of 7985/464, 2112/2110

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 7985/464,2112/2110

Given numbers are 7985/464,2112/2110

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 7985,2112

Least Common Multiple of Numerators i.e. LCM of 7985,2112 is 16864320.

GCF of Denominators means GCF of 464,2110 as per the given fractions.

GCF of 464,2110 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7985,2112

LCM of Fractions 7985/464,2112/2110 is 8432160

Given numbers has no common factors except 1. So, there LCM is their product i.e 16864320

Least Common Multiple of 7985,2112 with GCF Formula

Least Common Multiple of 7985,2112 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 7985,2112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7985,2112) = 1

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

GCF(7985,2112) x common factors =1 x 1 = 1

LCM(7985,2112) = ( 7985 × 2112 ) / 1

LCM(7985,2112) = 16864320 / 1

LCM(7985,2112) = 16864320


Lets's calculate GCF of 464,2110

2 464, 2110
232, 1055

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16864320/2

Therefore the LCM of Fractions 7985/464,2112/2110 is 8432160

Greatest Common Factor of 464,2110 By Matching Biggest Common Factor Method

Greatest Common Factor of 464,2110 By Matching Biggest Common Factor Method

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Factors of 2110

List of positive integer factors of 2110 that divides 2110 without a remainder.

1,2,5,10,211,422,1055,2110

Greatest Common Factor

We found the factors 464,2110 . The biggest common factor number is the GCF number.
So the greatest common factor 464,2110 is 2.


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 7985/464, 2112/2110

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 7985/464, 2112/2110?

Answer: LCM of Numerators as per given numbers 7985/464, 2112/2110 is

LCM of Numerators i.e. for 7985,2112 is 16864320

GCF of denominators i.e. for 464,2110 is 2.

Thus, LCM of Fractions is 8432160.Finally, LCM of Fractions for 7985/464, 2112/2110 is 8432160.