Least Common Multiple of 3362/84, 4216/465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3362/84, 4216/465 quickly i.e. 7087096/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3362/84, 4216/465 is 7087096/3.

LCM(3362/84, 4216/465) = 7087096/3

LCM of 3362/84, 4216/465

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 3362/84,4216/465

Given numbers are 3362/84,4216/465

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 3362,4216

Least Common Multiple of Numerators i.e. LCM of 3362,4216 is 7087096.

GCF of Denominators means GCF of 84,465 as per the given fractions.

GCF of 84,465 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3362,4216

LCM of Fractions 3362/84,4216/465 is 7087096/3

2 3362, 4216
1681, 2108

∴ So the LCM of the given numbers is 2 x 1681 x 2108 = 7087096

Least Common Multiple of 3362,4216 with GCF Formula

Least Common Multiple of 3362,4216 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 3362,4216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3362,4216) = 2

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

GCF(3362,4216) x common factors =2 x 1 = 2

LCM(3362,4216) = ( 3362 × 4216 ) / 2

LCM(3362,4216) = 14174192 / 2

LCM(3362,4216) = 7087096


Lets's calculate GCF of 84,465

3 84, 465
28, 155

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7087096/3

Therefore the LCM of Fractions 3362/84,4216/465 is 7087096/3

Greatest Common Factor of 84,465 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,465 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Greatest Common Factor

We found the factors 84,465 . The biggest common factor number is the GCF number.
So the greatest common factor 84,465 is 3.


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 3362/84, 4216/465

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 3362/84, 4216/465?

Answer: LCM of Numerators as per given numbers 3362/84, 4216/465 is

LCM of Numerators i.e. for 3362,4216 is 7087096

GCF of denominators i.e. for 84,465 is 3.

Thus, LCM of Fractions is 7087096/3.Finally, LCM of Fractions for 3362/84, 4216/465 is 7087096/3.