Least Common Multiple of 284, 112, 136, 420, 897

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 284, 112, 136, 420, 897 i.e. 606300240 smallest integer divisible by all numbers.

Least common multiple (LCM) of 284, 112, 136, 420, 897 is 606300240.

LCM(284, 112, 136, 420, 897) = 606300240

LCM of 284, 112, 136, 420, 897

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

LCM of:

Least Common Multiple of 284,112,136,420,897

Least Common Multiple (LCM) of 284,112,136,420,897 is 606300240

2 284, 112, 136, 420, 897
2 142, 56, 68, 210, 897
2 71, 28, 34, 105, 897
3 71, 14, 17, 105, 897
7 71, 14, 17, 35, 299
71, 2, 17, 5, 299

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 7 x 71 x 2 x 17 x 5 x 299 = 606300240

Least Common Multiple of 284,112,136,420,897 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 284,112,136,420,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(284,112,136,420,897) = 1

common factors(in case of two or more numbers have common factors) = 2688

GCF(284,112,136,420,897) x common factors =1 x 2688 = 2688

LCM(284,112,136,420,897) = ( 284 × 112 × 136 × 420 × 897 ) / 2688

LCM(284,112,136,420,897) = 1629735045120 / 2688

LCM(284,112,136,420,897) = 606300240

∴ Least Common Multiple of 284,112,136,420,897 is 606300240

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 284, 112, 136, 420, 897

1. What is the LCM of 284, 112, 136, 420, 897?

Answer: LCM of 284, 112, 136, 420, 897 is 606300240.

2. What are the Factors of 606300240?

Answer: Factors of 606300240 are . There are integers that are factors of 606300240

3. How to Find the LCM of 284, 112, 136, 420, 897 ?

Least Common Multiple of 284, 112, 136, 420, 897.

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(284, 112, 136, 420, 897) = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 13 x 17 x 23 x 71 = 606300240.