Least Common Multiple of 407, 414, 18

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 407, 414, 18 i.e. 168498 smallest integer divisible by all numbers.

Least common multiple (LCM) of 407, 414, 18 is 168498.

LCM(407, 414, 18) = 168498

LCM of 407, 414, 18

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

LCM of:

Least Common Multiple of 407,414,18

Least Common Multiple (LCM) of 407,414,18 is 168498

2 407, 414, 18
3 407, 207, 9
3 407, 69, 3
407, 23, 1

∴ So the LCM of the given numbers is 2 x 3 x 3 x 407 x 23 x 1 = 168498

Least Common Multiple of 407,414,18 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 407,414,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(407,414,18) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(407,414,18) x common factors =1 x 18 = 18

LCM(407,414,18) = ( 407 × 414 × 18 ) / 18

LCM(407,414,18) = 3032964 / 18

LCM(407,414,18) = 168498

∴ Least Common Multiple of 407,414,18 is 168498

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 407, 414, 18

1. What is the LCM of 407, 414, 18?

Answer: LCM of 407, 414, 18 is 168498.

2. What are the Factors of 168498?

Answer: Factors of 168498 are . There are integers that are factors of 168498

3. How to Find the LCM of 407, 414, 18 ?

Least Common Multiple of 407, 414, 18.

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(407, 414, 18) = 2 x 3 x 3 x 11 x 23 x 37 = 168498.