Least Common Multiple of 288, 685, 821, 441, 420

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 288, 685, 821, 441, 420 i.e. 7936377120 smallest integer divisible by all numbers.

Least common multiple (LCM) of 288, 685, 821, 441, 420 is 7936377120.

LCM(288, 685, 821, 441, 420) = 7936377120

LCM of 288, 685, 821, 441, 420

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

LCM of:

Least Common Multiple of 288,685,821,441,420

Least Common Multiple (LCM) of 288,685,821,441,420 is 7936377120

2 288, 685, 821, 441, 420
2 144, 685, 821, 441, 210
3 72, 685, 821, 441, 105
3 24, 685, 821, 147, 35
5 8, 685, 821, 49, 35
7 8, 137, 821, 49, 7
8, 137, 821, 1, 7

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 7 x 8 x 137 x 821 x 1 x 7 = 7936377120

Least Common Multiple of 288,685,821,441,420 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 288,685,821,441,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,685,821,441,420) = 1

common factors(in case of two or more numbers have common factors) = 3780

GCF(288,685,821,441,420) x common factors =1 x 3780 = 3780

LCM(288,685,821,441,420) = ( 288 × 685 × 821 × 441 × 420 ) / 3780

LCM(288,685,821,441,420) = 29999505513600 / 3780

LCM(288,685,821,441,420) = 7936377120

∴ Least Common Multiple of 288,685,821,441,420 is 7936377120

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 288, 685, 821, 441, 420

1. What is the LCM of 288, 685, 821, 441, 420?

Answer: LCM of 288, 685, 821, 441, 420 is 7936377120.

2. What are the Factors of 7936377120?

Answer: Factors of 7936377120 are . There are integers that are factors of 7936377120

3. How to Find the LCM of 288, 685, 821, 441, 420 ?

Least Common Multiple of 288, 685, 821, 441, 420.

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(288, 685, 821, 441, 420) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 7 x 137 x 821 = 7936377120.