Least Common Multiple of 822, 144

Q: How to Find the LCM of 822, 144 ?

Least Common Multiple of 822, 144 = 19728 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(822, 144) = 2 x 2 x 2 x 2 x 3 x 3 x 137 = 19728.

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 822, 144 i.e. 19728 smallest integer divisible by all numbers.

Least common multiple (LCM) of 822, 144 is 19728.

LCM(822, 144) = 19728

LCM of 822, 144

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

Least Common Multiple of 822, 144 by common division method
Least Common Multiple of 822, 144 with GCF Formula

Least Common Multiple of 822,144

Least Common Multiple (LCM) of 822,144 is 19728

2	822, 144
3	411, 72
	137, 24

∴ So the LCM of the given numbers is 2 x 3 x 137 x 24 = 19728

Least Common Multiple of 822,144 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 822,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(822,144) = 6

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

GCF(822,144) x common factors =6 x 1 = 6

LCM(822,144) = ( 822 × 144 ) / 6

LCM(822,144) = 118368 / 6

LCM(822,144) = 19728

∴ Least Common Multiple of 822,144 is 19728

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 822, 144

1. What is the LCM of 822, 144?

Answer: LCM of 822, 144 is 19728.

2. What are the Factors of 19728?

Answer: Factors of 19728 are . There are integers that are factors of 19728

3. How to Find the LCM of 822, 144 ?

Least Common Multiple of 822, 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(822, 144) = 2 x 2 x 2 x 2 x 3 x 3 x 137 = 19728.