Least Common Multiple of 493, 608, 609, 225, 775

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 493, 608, 609, 225, 775 i.e. 14635000800 smallest integer divisible by all numbers.

Least common multiple (LCM) of 493, 608, 609, 225, 775 is 14635000800.

LCM(493, 608, 609, 225, 775) = 14635000800

LCM of 493, 608, 609, 225, 775

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

LCM of:

Least Common Multiple of 493,608,609,225,775

Least Common Multiple (LCM) of 493,608,609,225,775 is 14635000800

3 493, 608, 609, 225, 775
5 493, 608, 203, 75, 775
5 493, 608, 203, 15, 155
29 493, 608, 203, 3, 31
17, 608, 7, 3, 31

∴ So the LCM of the given numbers is 3 x 5 x 5 x 29 x 17 x 608 x 7 x 3 x 31 = 14635000800

Least Common Multiple of 493,608,609,225,775 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 493,608,609,225,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,608,609,225,775) = 1

common factors(in case of two or more numbers have common factors) = 2175

GCF(493,608,609,225,775) x common factors =1 x 2175 = 2175

LCM(493,608,609,225,775) = ( 493 × 608 × 609 × 225 × 775 ) / 2175

LCM(493,608,609,225,775) = 31831126740000 / 2175

LCM(493,608,609,225,775) = 14635000800

∴ Least Common Multiple of 493,608,609,225,775 is 14635000800

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 493, 608, 609, 225, 775

1. What is the LCM of 493, 608, 609, 225, 775?

Answer: LCM of 493, 608, 609, 225, 775 is 14635000800.

2. What are the Factors of 14635000800?

Answer: Factors of 14635000800 are . There are integers that are factors of 14635000800

3. How to Find the LCM of 493, 608, 609, 225, 775 ?

Least Common Multiple of 493, 608, 609, 225, 775.

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(493, 608, 609, 225, 775) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 7 x 17 x 19 x 29 x 31 = 14635000800.