Least Common Multiple of 828, 460, 462

Q: How to Find the LCM of 828, 460, 462 ?

Least Common Multiple of 828, 460, 462 = 318780 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(828, 460, 462) = 2 x 2 x 3 x 3 x 5 x 7 x 11 x 23 = 318780.

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 828, 460, 462 i.e. 318780 smallest integer divisible by all numbers.

Least common multiple (LCM) of 828, 460, 462 is 318780.

LCM(828, 460, 462) = 318780

LCM of 828, 460, 462

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

Least Common Multiple of 828, 460, 462 by common division method
Least Common Multiple of 828, 460, 462 with GCF Formula

Least Common Multiple of 828,460,462

Least Common Multiple (LCM) of 828,460,462 is 318780

2	828, 460, 462
2	414, 230, 231
3	207, 115, 231
23	69, 115, 77
	3, 5, 77

∴ So the LCM of the given numbers is 2 x 2 x 3 x 23 x 3 x 5 x 77 = 318780

Least Common Multiple of 828,460,462 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 828,460,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,460,462) = 2

common factors(in case of two or more numbers have common factors) = 276

GCF(828,460,462) x common factors =2 x 276 = 552

LCM(828,460,462) = ( 828 × 460 × 462 ) / 552

LCM(828,460,462) = 175966560 / 552

LCM(828,460,462) = 318780

∴ Least Common Multiple of 828,460,462 is 318780

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 828, 460, 462

1. What is the LCM of 828, 460, 462?

Answer: LCM of 828, 460, 462 is 318780.

2. What are the Factors of 318780?

Answer: Factors of 318780 are . There are integers that are factors of 318780

3. How to Find the LCM of 828, 460, 462 ?

Least Common Multiple of 828, 460, 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(828, 460, 462) = 2 x 2 x 3 x 3 x 5 x 7 x 11 x 23 = 318780.