Least Common Multiple of 313/18, 416/3212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 313/18, 416/3212 quickly i.e. 65104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 313/18, 416/3212 is 65104.

LCM(313/18, 416/3212) = 65104

LCM of 313/18, 416/3212

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 313/18,416/3212

Given numbers are 313/18,416/3212

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 313,416

Least Common Multiple of Numerators i.e. LCM of 313,416 is 130208.

GCF of Denominators means GCF of 18,3212 as per the given fractions.

GCF of 18,3212 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 313,416

LCM of Fractions 313/18,416/3212 is 65104

Given numbers has no common factors except 1. So, there LCM is their product i.e 130208

Least Common Multiple of 313,416 with GCF Formula

Least Common Multiple of 313,416 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 313,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(313,416) = 1

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

GCF(313,416) x common factors =1 x 1 = 1

LCM(313,416) = ( 313 × 416 ) / 1

LCM(313,416) = 130208 / 1

LCM(313,416) = 130208


Lets's calculate GCF of 18,3212

2 18, 3212
9, 1606

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 130208/2

Therefore the LCM of Fractions 313/18,416/3212 is 65104

Greatest Common Factor of 18,3212 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,3212 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 3212

List of positive integer factors of 3212 that divides 3212 without a remainder.

1,2,4,11,22,44,73,146,292,803,1606,3212

Greatest Common Factor

We found the factors 18,3212 . The biggest common factor number is the GCF number.
So the greatest common factor 18,3212 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 313/18, 416/3212

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 313/18, 416/3212?

Answer: LCM of Numerators as per given numbers 313/18, 416/3212 is

LCM of Numerators i.e. for 313,416 is 130208

GCF of denominators i.e. for 18,3212 is 2.

Thus, LCM of Fractions is 65104.Finally, LCM of Fractions for 313/18, 416/3212 is 65104.