Least Common Multiple of 510, 624, 768

Q: How to Find the LCM of 510, 624, 768 ?

Least Common Multiple of 510, 624, 768 = 848640 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(510, 624, 768) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 13 x 17 = 848640.

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 510, 624, 768 i.e. 848640 smallest integer divisible by all numbers.

Least common multiple (LCM) of 510, 624, 768 is 848640.

LCM(510, 624, 768) = 848640

LCM of 510, 624, 768

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

Least Common Multiple of 510, 624, 768 by common division method
Least Common Multiple of 510, 624, 768 with GCF Formula

Least Common Multiple of 510,624,768

Least Common Multiple (LCM) of 510,624,768 is 848640

2	510, 624, 768
2	255, 312, 384
2	255, 156, 192
2	255, 78, 96
3	255, 39, 48
	85, 13, 16

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 85 x 13 x 16 = 848640

Least Common Multiple of 510,624,768 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 510,624,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(510,624,768) = 6

common factors(in case of two or more numbers have common factors) = 48

GCF(510,624,768) x common factors =6 x 48 = 288

LCM(510,624,768) = ( 510 × 624 × 768 ) / 288

LCM(510,624,768) = 244408320 / 288

LCM(510,624,768) = 848640

∴ Least Common Multiple of 510,624,768 is 848640

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 510, 624, 768

1. What is the LCM of 510, 624, 768?

Answer: LCM of 510, 624, 768 is 848640.

2. What are the Factors of 848640?

Answer: Factors of 848640 are . There are integers that are factors of 848640

3. How to Find the LCM of 510, 624, 768 ?

Least Common Multiple of 510, 624, 768.

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(510, 624, 768) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 13 x 17 = 848640.