Least Common Multiple of 429, 825, 144

Q: How to Find the LCM of 429, 825, 144 ?

Least Common Multiple of 429, 825, 144 = 514800 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(429, 825, 144) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 11 x 13 = 514800.

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 429, 825, 144 i.e. 514800 smallest integer divisible by all numbers.

Least common multiple (LCM) of 429, 825, 144 is 514800.

LCM(429, 825, 144) = 514800

LCM of 429, 825, 144

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

Least Common Multiple of 429, 825, 144 by common division method
Least Common Multiple of 429, 825, 144 with GCF Formula

Least Common Multiple of 429,825,144

Least Common Multiple (LCM) of 429,825,144 is 514800

3	429, 825, 144
11	143, 275, 48
	13, 25, 48

∴ So the LCM of the given numbers is 3 x 11 x 13 x 25 x 48 = 514800

Least Common Multiple of 429,825,144 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 429,825,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(429,825,144) = 3

common factors(in case of two or more numbers have common factors) = 33

GCF(429,825,144) x common factors =3 x 33 = 99

LCM(429,825,144) = ( 429 × 825 × 144 ) / 99

LCM(429,825,144) = 50965200 / 99

LCM(429,825,144) = 514800

∴ Least Common Multiple of 429,825,144 is 514800

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 429, 825, 144

1. What is the LCM of 429, 825, 144?

Answer: LCM of 429, 825, 144 is 514800.

2. What are the Factors of 514800?

Answer: Factors of 514800 are . There are integers that are factors of 514800

3. How to Find the LCM of 429, 825, 144 ?

Least Common Multiple of 429, 825, 144.

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(429, 825, 144) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 11 x 13 = 514800.