Least Common Multiple of 489, 213, 213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 489, 213, 213 i.e. 34719 smallest integer divisible by all numbers.

Least common multiple (LCM) of 489, 213, 213 is 34719.

LCM(489, 213, 213) = 34719

LCM of 489, 213, 213

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 489,213,213

Least Common Multiple (LCM) of 489,213,213 is 34719

3 489, 213, 213
71 163, 71, 71
163, 1, 1

∴ So the LCM of the given numbers is 3 x 71 x 163 x 1 x 1 = 34719

Least Common Multiple of 489,213,213 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 489,213,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(489,213,213) = 3

common factors(in case of two or more numbers have common factors) = 213

GCF(489,213,213) x common factors =3 x 213 = 639

LCM(489,213,213) = ( 489 × 213 × 213 ) / 639

LCM(489,213,213) = 22185441 / 639

LCM(489,213,213) = 34719

∴ Least Common Multiple of 489,213,213 is 34719

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 489, 213, 213

1. What is the LCM of 489, 213, 213?

Answer: LCM of 489, 213, 213 is 34719.

2. What are the Factors of 34719?

Answer: Factors of 34719 are . There are integers that are factors of 34719

3. How to Find the LCM of 489, 213, 213 ?

Least Common Multiple of 489, 213, 213.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(489, 213, 213) = 3 x 71 x 163 = 34719.