Least Common Multiple of 504, 171, 489, 795, 990

Q: How to Find the LCM of 504, 171, 489, 795, 990 ?

Least Common Multiple of 504, 171, 489, 795, 990 = 4549988520 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(504, 171, 489, 795, 990) = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 11 x 19 x 53 x 163 = 4549988520.

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 504, 171, 489, 795, 990 i.e. 4549988520 smallest integer divisible by all numbers.

Least common multiple (LCM) of 504, 171, 489, 795, 990 is 4549988520.

LCM(504, 171, 489, 795, 990) = 4549988520

LCM of 504, 171, 489, 795, 990

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

Least Common Multiple of 504, 171, 489, 795, 990 by common division method
Least Common Multiple of 504, 171, 489, 795, 990 with GCF Formula

Least Common Multiple of 504,171,489,795,990

Least Common Multiple (LCM) of 504,171,489,795,990 is 4549988520

2	504, 171, 489, 795, 990
3	252, 171, 489, 795, 495
3	84, 57, 163, 265, 165
5	28, 19, 163, 265, 55
	28, 19, 163, 53, 11

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 28 x 19 x 163 x 53 x 11 = 4549988520

Least Common Multiple of 504,171,489,795,990 with GCF Formula

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

We need to calculate greatest common factor of 504,171,489,795,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,171,489,795,990) = 3

common factors(in case of two or more numbers have common factors) = 2430

GCF(504,171,489,795,990) x common factors =3 x 2430 = 7290

LCM(504,171,489,795,990) = ( 504 × 171 × 489 × 795 × 990 ) / 7290

LCM(504,171,489,795,990) = 33169416310800 / 7290

LCM(504,171,489,795,990) = 4549988520

∴ Least Common Multiple of 504,171,489,795,990 is 4549988520

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 504, 171, 489, 795, 990

1. What is the LCM of 504, 171, 489, 795, 990?

Answer: LCM of 504, 171, 489, 795, 990 is 4549988520.

2. What are the Factors of 4549988520?

Answer: Factors of 4549988520 are . There are integers that are factors of 4549988520

3. How to Find the LCM of 504, 171, 489, 795, 990 ?

Least Common Multiple of 504, 171, 489, 795, 990.

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(504, 171, 489, 795, 990) = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 11 x 19 x 53 x 163 = 4549988520.