Least Common Multiple of 82, 72, 69, 816

Q: How to Find the LCM of 82, 72, 69, 816 ?

Least Common Multiple of 82, 72, 69, 816 = 2308464 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(82, 72, 69, 816) = 2 x 2 x 2 x 2 x 3 x 3 x 17 x 23 x 41 = 2308464.

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 82, 72, 69, 816 i.e. 2308464 smallest integer divisible by all numbers.

Least common multiple (LCM) of 82, 72, 69, 816 is 2308464.

LCM(82, 72, 69, 816) = 2308464

LCM of 82, 72, 69, 816

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

Least Common Multiple of 82, 72, 69, 816 by common division method
Least Common Multiple of 82, 72, 69, 816 with GCF Formula

Least Common Multiple of 82,72,69,816

Least Common Multiple (LCM) of 82,72,69,816 is 2308464

2	82, 72, 69, 816
2	41, 36, 69, 408
2	41, 18, 69, 204
3	41, 9, 69, 102
	41, 3, 23, 34

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 41 x 3 x 23 x 34 = 2308464

Least Common Multiple of 82,72,69,816 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 82,72,69,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,72,69,816) = 1

common factors(in case of two or more numbers have common factors) = 144

GCF(82,72,69,816) x common factors =1 x 144 = 144

LCM(82,72,69,816) = ( 82 × 72 × 69 × 816 ) / 144

LCM(82,72,69,816) = 332418816 / 144

LCM(82,72,69,816) = 2308464

∴ Least Common Multiple of 82,72,69,816 is 2308464

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 82, 72, 69, 816

1. What is the LCM of 82, 72, 69, 816?

Answer: LCM of 82, 72, 69, 816 is 2308464.

2. What are the Factors of 2308464?

Answer: Factors of 2308464 are . There are integers that are factors of 2308464

3. How to Find the LCM of 82, 72, 69, 816 ?

Least Common Multiple of 82, 72, 69, 816.

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(82, 72, 69, 816) = 2 x 2 x 2 x 2 x 3 x 3 x 17 x 23 x 41 = 2308464.