Least Common Multiple of 40/310, 4644/3208

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/310, 4644/3208 quickly i.e. 23220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/310, 4644/3208 is 23220.

LCM(40/310, 4644/3208) = 23220

LCM of 40/310, 4644/3208

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 40/310,4644/3208

Given numbers are 40/310,4644/3208

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 40,4644

Least Common Multiple of Numerators i.e. LCM of 40,4644 is 46440.

GCF of Denominators means GCF of 310,3208 as per the given fractions.

GCF of 310,3208 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,4644

LCM of Fractions 40/310,4644/3208 is 23220

2 40, 4644
2 20, 2322
10, 1161

∴ So the LCM of the given numbers is 2 x 2 x 10 x 1161 = 46440

Least Common Multiple of 40,4644 with GCF Formula

Least Common Multiple of 40,4644 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 40,4644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,4644) = 4

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

GCF(40,4644) x common factors =4 x 1 = 4

LCM(40,4644) = ( 40 × 4644 ) / 4

LCM(40,4644) = 185760 / 4

LCM(40,4644) = 46440


Lets's calculate GCF of 310,3208

2 310, 3208
155, 1604

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46440/2

Therefore the LCM of Fractions 40/310,4644/3208 is 23220

Greatest Common Factor of 310,3208 By Matching Biggest Common Factor Method

Greatest Common Factor of 310,3208 By Matching Biggest Common Factor Method

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Factors of 3208

List of positive integer factors of 3208 that divides 3208 without a remainder.

1,2,4,8,401,802,1604,3208

Greatest Common Factor

We found the factors 310,3208 . The biggest common factor number is the GCF number.
So the greatest common factor 310,3208 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 40/310, 4644/3208

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 40/310, 4644/3208?

Answer: LCM of Numerators as per given numbers 40/310, 4644/3208 is

LCM of Numerators i.e. for 40,4644 is 46440

GCF of denominators i.e. for 310,3208 is 2.

Thus, LCM of Fractions is 23220.Finally, LCM of Fractions for 40/310, 4644/3208 is 23220.