Least Common Multiple of 16, 64, 309

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, 64, 309 i.e. 19776 smallest integer divisible by all numbers.

Least common multiple (LCM) of 16, 64, 309 is 19776.

LCM(16, 64, 309) = 19776

LCM of 16, 64, 309

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

LCM of:

Least Common Multiple of 16,64,309

Least Common Multiple (LCM) of 16,64,309 is 19776

2 16, 64, 309
2 8, 32, 309
2 4, 16, 309
2 2, 8, 309
1, 4, 309

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 1 x 4 x 309 = 19776

Least Common Multiple of 16,64,309 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 16,64,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,64,309) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(16,64,309) x common factors =1 x 16 = 16

LCM(16,64,309) = ( 16 × 64 × 309 ) / 16

LCM(16,64,309) = 316416 / 16

LCM(16,64,309) = 19776

∴ Least Common Multiple of 16,64,309 is 19776

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 16, 64, 309

1. What is the LCM of 16, 64, 309?

Answer: LCM of 16, 64, 309 is 19776.

2. What are the Factors of 19776?

Answer: Factors of 19776 are . There are integers that are factors of 19776

3. How to Find the LCM of 16, 64, 309 ?

Least Common Multiple of 16, 64, 309.

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, 64, 309) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 103 = 19776.