Least Common Multiple of 299, 414, 989

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 299, 414, 989 i.e. 231426 smallest integer divisible by all numbers.

Least common multiple (LCM) of 299, 414, 989 is 231426.

LCM(299, 414, 989) = 231426

LCM of 299, 414, 989

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

LCM of:

Least Common Multiple of 299,414,989

Least Common Multiple (LCM) of 299,414,989 is 231426

23 299, 414, 989
13, 18, 43

∴ So the LCM of the given numbers is 23 x 13 x 18 x 43 = 231426

Least Common Multiple of 299,414,989 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 299,414,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(299,414,989) = 23

common factors(in case of two or more numbers have common factors) = 23

GCF(299,414,989) x common factors =23 x 23 = 529

LCM(299,414,989) = ( 299 × 414 × 989 ) / 529

LCM(299,414,989) = 122424354 / 529

LCM(299,414,989) = 231426

∴ Least Common Multiple of 299,414,989 is 231426

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 299, 414, 989

1. What is the LCM of 299, 414, 989?

Answer: LCM of 299, 414, 989 is 231426.

2. What are the Factors of 231426?

Answer: Factors of 231426 are . There are integers that are factors of 231426

3. How to Find the LCM of 299, 414, 989 ?

Least Common Multiple of 299, 414, 989.

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(299, 414, 989) = 2 x 3 x 3 x 13 x 23 x 43 = 231426.