Least Common Multiple of 363, 449, 814

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 363, 449, 814 i.e. 12061038 smallest integer divisible by all numbers.

Least common multiple (LCM) of 363, 449, 814 is 12061038.

LCM(363, 449, 814) = 12061038

LCM of 363, 449, 814

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

LCM of:

Least Common Multiple of 363,449,814

Least Common Multiple (LCM) of 363,449,814 is 12061038

11 363, 449, 814
33, 449, 74

∴ So the LCM of the given numbers is 11 x 33 x 449 x 74 = 12061038

Least Common Multiple of 363,449,814 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 363,449,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(363,449,814) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(363,449,814) x common factors =1 x 11 = 11

LCM(363,449,814) = ( 363 × 449 × 814 ) / 11

LCM(363,449,814) = 132671418 / 11

LCM(363,449,814) = 12061038

∴ Least Common Multiple of 363,449,814 is 12061038

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 363, 449, 814

1. What is the LCM of 363, 449, 814?

Answer: LCM of 363, 449, 814 is 12061038.

2. What are the Factors of 12061038?

Answer: Factors of 12061038 are . There are integers that are factors of 12061038

3. How to Find the LCM of 363, 449, 814 ?

Least Common Multiple of 363, 449, 814.

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(363, 449, 814) = 2 x 3 x 11 x 11 x 37 x 449 = 12061038.