Least Common Multiple of 462, 3132, 401

Q: How to Find the LCM of 462, 3132, 401 ?

Least Common Multiple of 462, 3132, 401 = 96706764 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(462, 3132, 401) = 2 x 2 x 3 x 3 x 3 x 7 x 11 x 29 x 401 = 96706764.

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 462, 3132, 401 i.e. 96706764 smallest integer divisible by all numbers.

Least common multiple (LCM) of 462, 3132, 401 is 96706764.

LCM(462, 3132, 401) = 96706764

LCM of 462, 3132, 401

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

Least Common Multiple of 462, 3132, 401 by common division method
Least Common Multiple of 462, 3132, 401 with GCF Formula

Least Common Multiple of 462,3132,401

Least Common Multiple (LCM) of 462,3132,401 is 96706764

2	462, 3132, 401
3	231, 1566, 401
	77, 522, 401

∴ So the LCM of the given numbers is 2 x 3 x 77 x 522 x 401 = 96706764

Least Common Multiple of 462,3132,401 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 462,3132,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,3132,401) = 1

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

GCF(462,3132,401) x common factors =1 x 6 = 6

LCM(462,3132,401) = ( 462 × 3132 × 401 ) / 6

LCM(462,3132,401) = 580240584 / 6

LCM(462,3132,401) = 96706764

∴ Least Common Multiple of 462,3132,401 is 96706764

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 462, 3132, 401

1. What is the LCM of 462, 3132, 401?

Answer: LCM of 462, 3132, 401 is 96706764.

2. What are the Factors of 96706764?

Answer: Factors of 96706764 are . There are integers that are factors of 96706764

3. How to Find the LCM of 462, 3132, 401 ?

Least Common Multiple of 462, 3132, 401.

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(462, 3132, 401) = 2 x 2 x 3 x 3 x 3 x 7 x 11 x 29 x 401 = 96706764.