Least Common Multiple of 968, 363, 462

Q: How to Find the LCM of 968, 363, 462 ?

Least Common Multiple of 968, 363, 462 = 20328 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(968, 363, 462) = 2 x 2 x 2 x 3 x 7 x 11 x 11 = 20328.

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 968, 363, 462 i.e. 20328 smallest integer divisible by all numbers.

Least common multiple (LCM) of 968, 363, 462 is 20328.

LCM(968, 363, 462) = 20328

LCM of 968, 363, 462

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

Least Common Multiple of 968, 363, 462 by common division method
Least Common Multiple of 968, 363, 462 with GCF Formula

Least Common Multiple of 968,363,462

Least Common Multiple (LCM) of 968,363,462 is 20328

2	968, 363, 462
3	484, 363, 231
11	484, 121, 77
11	44, 11, 7
	4, 1, 7

∴ So the LCM of the given numbers is 2 x 3 x 11 x 11 x 4 x 1 x 7 = 20328

Least Common Multiple of 968,363,462 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 968,363,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(968,363,462) = 11

common factors(in case of two or more numbers have common factors) = 726

GCF(968,363,462) x common factors =11 x 726 = 7986

LCM(968,363,462) = ( 968 × 363 × 462 ) / 7986

LCM(968,363,462) = 162339408 / 7986

LCM(968,363,462) = 20328

∴ Least Common Multiple of 968,363,462 is 20328

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 968, 363, 462

1. What is the LCM of 968, 363, 462?

Answer: LCM of 968, 363, 462 is 20328.

2. What are the Factors of 20328?

Answer: Factors of 20328 are . There are integers that are factors of 20328

3. How to Find the LCM of 968, 363, 462 ?

Least Common Multiple of 968, 363, 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(968, 363, 462) = 2 x 2 x 2 x 3 x 7 x 11 x 11 = 20328.