Least Common Multiple of 16, 23, 77, 966

Q: How to Find the LCM of 16, 23, 77, 966 ?

Least Common Multiple of 16, 23, 77, 966 = 85008 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(16, 23, 77, 966) = 2 x 2 x 2 x 2 x 3 x 7 x 11 x 23 = 85008.

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 16, 23, 77, 966 i.e. 85008 smallest integer divisible by all numbers.

Least common multiple (LCM) of 16, 23, 77, 966 is 85008.

LCM(16, 23, 77, 966) = 85008

LCM of 16, 23, 77, 966

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

Least Common Multiple of 16, 23, 77, 966 by common division method
Least Common Multiple of 16, 23, 77, 966 with GCF Formula

Least Common Multiple of 16,23,77,966

Least Common Multiple (LCM) of 16,23,77,966 is 85008

2	16, 23, 77, 966
7	8, 23, 77, 483
23	8, 23, 11, 69
	8, 1, 11, 3

∴ So the LCM of the given numbers is 2 x 7 x 23 x 8 x 1 x 11 x 3 = 85008

Least Common Multiple of 16,23,77,966 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 16,23,77,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,23,77,966) = 1

common factors(in case of two or more numbers have common factors) = 322

GCF(16,23,77,966) x common factors =1 x 322 = 322

LCM(16,23,77,966) = ( 16 × 23 × 77 × 966 ) / 322

LCM(16,23,77,966) = 27372576 / 322

LCM(16,23,77,966) = 85008

∴ Least Common Multiple of 16,23,77,966 is 85008

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 16, 23, 77, 966

1. What is the LCM of 16, 23, 77, 966?

Answer: LCM of 16, 23, 77, 966 is 85008.

2. What are the Factors of 85008?

Answer: Factors of 85008 are . There are integers that are factors of 85008

3. How to Find the LCM of 16, 23, 77, 966 ?

Least Common Multiple of 16, 23, 77, 966.

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(16, 23, 77, 966) = 2 x 2 x 2 x 2 x 3 x 7 x 11 x 23 = 85008.