Least Common Multiple of 414, 299, 243

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 414, 299, 243 i.e. 145314 smallest integer divisible by all numbers.

Least common multiple (LCM) of 414, 299, 243 is 145314.

LCM(414, 299, 243) = 145314

LCM of 414, 299, 243

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

LCM of:

Least Common Multiple of 414,299,243

Least Common Multiple (LCM) of 414,299,243 is 145314

3 414, 299, 243
3 138, 299, 81
23 46, 299, 27
2, 13, 27

∴ So the LCM of the given numbers is 3 x 3 x 23 x 2 x 13 x 27 = 145314

Least Common Multiple of 414,299,243 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 414,299,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,299,243) = 1

common factors(in case of two or more numbers have common factors) = 207

GCF(414,299,243) x common factors =1 x 207 = 207

LCM(414,299,243) = ( 414 × 299 × 243 ) / 207

LCM(414,299,243) = 30079998 / 207

LCM(414,299,243) = 145314

∴ Least Common Multiple of 414,299,243 is 145314

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 414, 299, 243

1. What is the LCM of 414, 299, 243?

Answer: LCM of 414, 299, 243 is 145314.

2. What are the Factors of 145314?

Answer: Factors of 145314 are . There are integers that are factors of 145314

3. How to Find the LCM of 414, 299, 243 ?

Least Common Multiple of 414, 299, 243.

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(414, 299, 243) = 2 x 3 x 3 x 3 x 3 x 3 x 13 x 23 = 145314.