Least Common Multiple of 488, 578, 814

Q: How to Find the LCM of 488, 578, 814 ?

Least Common Multiple of 488, 578, 814 = 57400024 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(488, 578, 814) = 2 x 2 x 2 x 11 x 17 x 17 x 37 x 61 = 57400024.

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 488, 578, 814 i.e. 57400024 smallest integer divisible by all numbers.

Least common multiple (LCM) of 488, 578, 814 is 57400024.

LCM(488, 578, 814) = 57400024

LCM of 488, 578, 814

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

Least Common Multiple of 488, 578, 814 by common division method
Least Common Multiple of 488, 578, 814 with GCF Formula

Least Common Multiple of 488,578,814

Least Common Multiple (LCM) of 488,578,814 is 57400024

2	488, 578, 814
	244, 289, 407

∴ So the LCM of the given numbers is 2 x 244 x 289 x 407 = 57400024

Least Common Multiple of 488,578,814 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 488,578,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,578,814) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(488,578,814) x common factors =2 x 2 = 4

LCM(488,578,814) = ( 488 × 578 × 814 ) / 4

LCM(488,578,814) = 229600096 / 4

LCM(488,578,814) = 57400024

∴ Least Common Multiple of 488,578,814 is 57400024

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 488, 578, 814

1. What is the LCM of 488, 578, 814?

Answer: LCM of 488, 578, 814 is 57400024.

2. What are the Factors of 57400024?

Answer: Factors of 57400024 are . There are integers that are factors of 57400024

3. How to Find the LCM of 488, 578, 814 ?

Least Common Multiple of 488, 578, 814.

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(488, 578, 814) = 2 x 2 x 2 x 11 x 17 x 17 x 37 x 61 = 57400024.