Least Common Multiple of 86, 33, 768

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 86, 33, 768 i.e. 363264 smallest integer divisible by all numbers.

Least common multiple (LCM) of 86, 33, 768 is 363264.

LCM(86, 33, 768) = 363264

LCM of 86, 33, 768

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

LCM of:

Least Common Multiple of 86,33,768

Least Common Multiple (LCM) of 86,33,768 is 363264

2 86, 33, 768
3 43, 33, 384
43, 11, 128

∴ So the LCM of the given numbers is 2 x 3 x 43 x 11 x 128 = 363264

Least Common Multiple of 86,33,768 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 86,33,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,33,768) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(86,33,768) x common factors =1 x 6 = 6

LCM(86,33,768) = ( 86 × 33 × 768 ) / 6

LCM(86,33,768) = 2179584 / 6

LCM(86,33,768) = 363264

∴ Least Common Multiple of 86,33,768 is 363264

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 86, 33, 768

1. What is the LCM of 86, 33, 768?

Answer: LCM of 86, 33, 768 is 363264.

2. What are the Factors of 363264?

Answer: Factors of 363264 are . There are integers that are factors of 363264

3. How to Find the LCM of 86, 33, 768 ?

Least Common Multiple of 86, 33, 768.

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(86, 33, 768) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 43 = 363264.