Least Common Multiple of 416/84, 164/20, 213/362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 416/84, 164/20, 213/362 quickly i.e. 1816464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 416/84, 164/20, 213/362 is 1816464.

LCM(416/84, 164/20, 213/362) = 1816464

LCM of 416/84, 164/20, 213/362

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 416/84,164/20,213/362

Given numbers are 416/84,164/20,213/362

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 416,164,213

Least Common Multiple of Numerators i.e. LCM of 416,164,213 is 3632928.

GCF of Denominators means GCF of 84,20,362 as per the given fractions.

GCF of 84,20,362 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 416,164,213

LCM of Fractions 416/84,164/20,213/362 is 1816464

2 416, 164, 213
2 208, 82, 213
104, 41, 213

∴ So the LCM of the given numbers is 2 x 2 x 104 x 41 x 213 = 3632928

Least Common Multiple of 416,164,213 with GCF Formula

Least Common Multiple of 416,164,213 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 416,164,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(416,164,213) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(416,164,213) x common factors =1 x 4 = 4

LCM(416,164,213) = ( 416 × 164 × 213 ) / 4

LCM(416,164,213) = 14531712 / 4

LCM(416,164,213) = 3632928


Lets's calculate GCF of 84,20,362

2 84, 20, 362
42, 10, 181

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3632928/2

Therefore the LCM of Fractions 416/84,164/20,213/362 is 1816464

Greatest Common Factor of 84,20,362 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,20,362 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 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1,2,181,362

Greatest Common Factor

We found the factors 84,20,362 . The biggest common factor number is the GCF number.
So the greatest common factor 84,20,362 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 416/84, 164/20, 213/362

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 416/84, 164/20, 213/362?

Answer: LCM of Numerators as per given numbers 416/84, 164/20, 213/362 is

LCM of Numerators i.e. for 416,164,213 is 3632928

GCF of denominators i.e. for 84,20,362 is 2.

Thus, LCM of Fractions is 1816464.Finally, LCM of Fractions for 416/84, 164/20, 213/362 is 1816464.