Least Common Multiple of 213/19, 661/68, 290/644

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 213/19, 661/68, 290/644 quickly i.e. 40829970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 213/19, 661/68, 290/644 is 40829970.

LCM(213/19, 661/68, 290/644) = 40829970

LCM of 213/19, 661/68, 290/644

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 213/19,661/68,290/644

Given numbers are 213/19,661/68,290/644

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 213,661,290

Least Common Multiple of Numerators i.e. LCM of 213,661,290 is 40829970.

GCF of Denominators means GCF of 19,68,644 as per the given fractions.

GCF of 19,68,644 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 213,661,290

LCM of Fractions 213/19,661/68,290/644 is 40829970

Given numbers has no common factors except 1. So, there LCM is their product i.e 40829970

Least Common Multiple of 213,661,290 with GCF Formula

Least Common Multiple of 213,661,290 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 213,661,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(213,661,290) = 1

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

GCF(213,661,290) x common factors =1 x 1 = 1

LCM(213,661,290) = ( 213 × 661 × 290 ) / 1

LCM(213,661,290) = 40829970 / 1

LCM(213,661,290) = 40829970


Lets's calculate GCF of 19,68,644

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40829970/1

Therefore the LCM of Fractions 213/19,661/68,290/644 is 40829970

Greatest Common Factor of 19,68,644 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,68,644 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Greatest Common Factor

We found the factors 19,68,644 . The biggest common factor number is the GCF number.
So the greatest common factor 19,68,644 is 1.


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 213/19, 661/68, 290/644

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 213/19, 661/68, 290/644?

Answer: LCM of Numerators as per given numbers 213/19, 661/68, 290/644 is

LCM of Numerators i.e. for 213,661,290 is 40829970

GCF of denominators i.e. for 19,68,644 is 1.

Thus, LCM of Fractions is 40829970.Finally, LCM of Fractions for 213/19, 661/68, 290/644 is 40829970.