Least Common Multiple of 1089, 1416

Q: How to Find the LCM of 1089, 1416 ?

Least Common Multiple of 1089, 1416 = 514008 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(1089, 1416) = 2 x 2 x 2 x 3 x 3 x 11 x 11 x 59 = 514008.

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 1089, 1416 i.e. 514008 smallest integer divisible by all numbers.

Least common multiple (LCM) of 1089, 1416 is 514008.

LCM(1089, 1416) = 514008

LCM of 1089, 1416

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

Least Common Multiple of 1089, 1416 by common division method
Least Common Multiple of 1089, 1416 with GCF Formula

Least Common Multiple of 1089,1416

Least Common Multiple (LCM) of 1089,1416 is 514008

3	1089, 1416
	363, 472

∴ So the LCM of the given numbers is 3 x 363 x 472 = 514008

Least Common Multiple of 1089,1416 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 1089,1416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1089,1416) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(1089,1416) x common factors =3 x 1 = 3

LCM(1089,1416) = ( 1089 × 1416 ) / 3

LCM(1089,1416) = 1542024 / 3

LCM(1089,1416) = 514008

∴ Least Common Multiple of 1089,1416 is 514008

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 1089, 1416

1. What is the LCM of 1089, 1416?

Answer: LCM of 1089, 1416 is 514008.

2. What are the Factors of 514008?

Answer: Factors of 514008 are . There are integers that are factors of 514008

3. How to Find the LCM of 1089, 1416 ?

Least Common Multiple of 1089, 1416.

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(1089, 1416) = 2 x 2 x 2 x 3 x 3 x 11 x 11 x 59 = 514008.