Least Common Multiple of 230, 144, 529

Q: How to Find the LCM of 230, 144, 529 ?

Least Common Multiple of 230, 144, 529 = 380880 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(230, 144, 529) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 23 x 23 = 380880.

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 230, 144, 529 i.e. 380880 smallest integer divisible by all numbers.

Least common multiple (LCM) of 230, 144, 529 is 380880.

LCM(230, 144, 529) = 380880

LCM of 230, 144, 529

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

Least Common Multiple of 230, 144, 529 by common division method
Least Common Multiple of 230, 144, 529 with GCF Formula

Least Common Multiple of 230,144,529

Least Common Multiple (LCM) of 230,144,529 is 380880

2	230, 144, 529
23	115, 72, 529
	5, 72, 23

∴ So the LCM of the given numbers is 2 x 23 x 5 x 72 x 23 = 380880

Least Common Multiple of 230,144,529 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 230,144,529 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(230,144,529) = 1

common factors(in case of two or more numbers have common factors) = 46

GCF(230,144,529) x common factors =1 x 46 = 46

LCM(230,144,529) = ( 230 × 144 × 529 ) / 46

LCM(230,144,529) = 17520480 / 46

LCM(230,144,529) = 380880

∴ Least Common Multiple of 230,144,529 is 380880

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 230, 144, 529

1. What is the LCM of 230, 144, 529?

Answer: LCM of 230, 144, 529 is 380880.

2. What are the Factors of 380880?

Answer: Factors of 380880 are . There are integers that are factors of 380880

3. How to Find the LCM of 230, 144, 529 ?

Least Common Multiple of 230, 144, 529.

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(230, 144, 529) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 23 x 23 = 380880.