Least Common Multiple of 299, 966, 207

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, 966, 207 i.e. 37674 smallest integer divisible by all numbers.

Least common multiple (LCM) of 299, 966, 207 is 37674.

LCM(299, 966, 207) = 37674

LCM of 299, 966, 207

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

LCM of:

Least Common Multiple of 299,966,207

Least Common Multiple (LCM) of 299,966,207 is 37674

3 299, 966, 207
23 299, 322, 69
13, 14, 3

∴ So the LCM of the given numbers is 3 x 23 x 13 x 14 x 3 = 37674

Least Common Multiple of 299,966,207 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 299,966,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(299,966,207) = 23

common factors(in case of two or more numbers have common factors) = 69

GCF(299,966,207) x common factors =23 x 69 = 1587

LCM(299,966,207) = ( 299 × 966 × 207 ) / 1587

LCM(299,966,207) = 59788638 / 1587

LCM(299,966,207) = 37674

∴ Least Common Multiple of 299,966,207 is 37674

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 299, 966, 207

1. What is the LCM of 299, 966, 207?

Answer: LCM of 299, 966, 207 is 37674.

2. What are the Factors of 37674?

Answer: Factors of 37674 are . There are integers that are factors of 37674

3. How to Find the LCM of 299, 966, 207 ?

Least Common Multiple of 299, 966, 207.

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, 966, 207) = 2 x 3 x 3 x 7 x 13 x 23 = 37674.