Least Common Multiple of 630, 208, 468, 768

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 630, 208, 468, 768 i.e. 1048320 smallest integer divisible by all numbers.

Least common multiple (LCM) of 630, 208, 468, 768 is 1048320.

LCM(630, 208, 468, 768) = 1048320

LCM of 630, 208, 468, 768

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

LCM of:

Least Common Multiple of 630,208,468,768

Least Common Multiple (LCM) of 630,208,468,768 is 1048320

2 630, 208, 468, 768
2 315, 104, 234, 384
2 315, 52, 117, 192
2 315, 26, 117, 96
3 315, 13, 117, 48
3 105, 13, 39, 16
13 35, 13, 13, 16
35, 1, 1, 16

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 3 x 13 x 35 x 1 x 1 x 16 = 1048320

Least Common Multiple of 630,208,468,768 with GCF Formula

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

We need to calculate greatest common factor of 630,208,468,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(630,208,468,768) = 2

common factors(in case of two or more numbers have common factors) = 22464

GCF(630,208,468,768) x common factors =2 x 22464 = 44928

LCM(630,208,468,768) = ( 630 × 208 × 468 × 768 ) / 44928

LCM(630,208,468,768) = 47098920960 / 44928

LCM(630,208,468,768) = 1048320

∴ Least Common Multiple of 630,208,468,768 is 1048320

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 630, 208, 468, 768

1. What is the LCM of 630, 208, 468, 768?

Answer: LCM of 630, 208, 468, 768 is 1048320.

2. What are the Factors of 1048320?

Answer: Factors of 1048320 are . There are integers that are factors of 1048320

3. How to Find the LCM of 630, 208, 468, 768 ?

Least Common Multiple of 630, 208, 468, 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(630, 208, 468, 768) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 13 = 1048320.