Least Common Multiple of 71, 90, 30, 462

Q: How to Find the LCM of 71, 90, 30, 462 ?

Least Common Multiple of 71, 90, 30, 462 = 492030 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(71, 90, 30, 462) = 2 x 3 x 3 x 5 x 7 x 11 x 71 = 492030.

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 71, 90, 30, 462 i.e. 492030 smallest integer divisible by all numbers.

Least common multiple (LCM) of 71, 90, 30, 462 is 492030.

LCM(71, 90, 30, 462) = 492030

LCM of 71, 90, 30, 462

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

Least Common Multiple of 71, 90, 30, 462 by common division method
Least Common Multiple of 71, 90, 30, 462 with GCF Formula

Least Common Multiple of 71,90,30,462

Least Common Multiple (LCM) of 71,90,30,462 is 492030

2	71, 90, 30, 462
3	71, 45, 15, 231
5	71, 5, 15, 77
	71, 1, 3, 77

∴ So the LCM of the given numbers is 2 x 3 x 5 x 71 x 1 x 3 x 77 = 492030

Least Common Multiple of 71,90,30,462 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 71,90,30,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,90,30,462) = 1

common factors(in case of two or more numbers have common factors) = 180

GCF(71,90,30,462) x common factors =1 x 180 = 180

LCM(71,90,30,462) = ( 71 × 90 × 30 × 462 ) / 180

LCM(71,90,30,462) = 88565400 / 180

LCM(71,90,30,462) = 492030

∴ Least Common Multiple of 71,90,30,462 is 492030

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 71, 90, 30, 462

1. What is the LCM of 71, 90, 30, 462?

Answer: LCM of 71, 90, 30, 462 is 492030.

2. What are the Factors of 492030?

Answer: Factors of 492030 are . There are integers that are factors of 492030

3. How to Find the LCM of 71, 90, 30, 462 ?

Least Common Multiple of 71, 90, 30, 462.

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(71, 90, 30, 462) = 2 x 3 x 3 x 5 x 7 x 11 x 71 = 492030.