Least Common Multiple of 589, 421, 420

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 589, 421, 420 i.e. 104146980 smallest integer divisible by all numbers.

Least common multiple (LCM) of 589, 421, 420 is 104146980.

LCM(589, 421, 420) = 104146980

LCM of 589, 421, 420

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

LCM of:

Least Common Multiple of 589,421,420

Least Common Multiple (LCM) of 589,421,420 is 104146980

Given numbers has no common factors except 1. So, there LCM is their product i.e 104146980

Least Common Multiple of 589,421,420 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 589,421,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(589,421,420) = 1

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

GCF(589,421,420) x common factors =1 x 1 = 1

LCM(589,421,420) = ( 589 × 421 × 420 ) / 1

LCM(589,421,420) = 104146980 / 1

LCM(589,421,420) = 104146980

∴ Least Common Multiple of 589,421,420 is 104146980

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 589, 421, 420

1. What is the LCM of 589, 421, 420?

Answer: LCM of 589, 421, 420 is 104146980.

2. What are the Factors of 104146980?

Answer: Factors of 104146980 are . There are integers that are factors of 104146980

3. How to Find the LCM of 589, 421, 420 ?

Least Common Multiple of 589, 421, 420.

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(589, 421, 420) = 2 x 2 x 3 x 5 x 7 x 19 x 31 x 421 = 104146980.