Least Common Multiple of 30, 54, 389

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 30, 54, 389 i.e. 105030 smallest integer divisible by all numbers.

Least common multiple (LCM) of 30, 54, 389 is 105030.

LCM(30, 54, 389) = 105030

LCM of 30, 54, 389

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

LCM of:

Least Common Multiple of 30,54,389

Least Common Multiple (LCM) of 30,54,389 is 105030

2 30, 54, 389
3 15, 27, 389
5, 9, 389

∴ So the LCM of the given numbers is 2 x 3 x 5 x 9 x 389 = 105030

Least Common Multiple of 30,54,389 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 30,54,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,54,389) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(30,54,389) x common factors =1 x 6 = 6

LCM(30,54,389) = ( 30 × 54 × 389 ) / 6

LCM(30,54,389) = 630180 / 6

LCM(30,54,389) = 105030

∴ Least Common Multiple of 30,54,389 is 105030

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 30, 54, 389

1. What is the LCM of 30, 54, 389?

Answer: LCM of 30, 54, 389 is 105030.

2. What are the Factors of 105030?

Answer: Factors of 105030 are . There are integers that are factors of 105030

3. How to Find the LCM of 30, 54, 389 ?

Least Common Multiple of 30, 54, 389.

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(30, 54, 389) = 2 x 3 x 3 x 3 x 5 x 389 = 105030.