Least Common Multiple of 442, 507, 507, 285

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 442, 507, 507, 285 i.e. 1637610 smallest integer divisible by all numbers.

Least common multiple (LCM) of 442, 507, 507, 285 is 1637610.

LCM(442, 507, 507, 285) = 1637610

LCM of 442, 507, 507, 285

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

LCM of:

Least Common Multiple of 442,507,507,285

Least Common Multiple (LCM) of 442,507,507,285 is 1637610

3 442, 507, 507, 285
13 442, 169, 169, 95
13 34, 13, 13, 95
34, 1, 1, 95

∴ So the LCM of the given numbers is 3 x 13 x 13 x 34 x 1 x 1 x 95 = 1637610

Least Common Multiple of 442,507,507,285 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 442,507,507,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(442,507,507,285) = 1

common factors(in case of two or more numbers have common factors) = 19773

GCF(442,507,507,285) x common factors =1 x 19773 = 19773

LCM(442,507,507,285) = ( 442 × 507 × 507 × 285 ) / 19773

LCM(442,507,507,285) = 32380462530 / 19773

LCM(442,507,507,285) = 1637610

∴ Least Common Multiple of 442,507,507,285 is 1637610

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 442, 507, 507, 285

1. What is the LCM of 442, 507, 507, 285?

Answer: LCM of 442, 507, 507, 285 is 1637610.

2. What are the Factors of 1637610?

Answer: Factors of 1637610 are . There are integers that are factors of 1637610

3. How to Find the LCM of 442, 507, 507, 285 ?

Least Common Multiple of 442, 507, 507, 285.

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(442, 507, 507, 285) = 2 x 3 x 5 x 13 x 13 x 17 x 19 = 1637610.