Least Common Multiple of 992 and 999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 992 and 999 the smallest integer that is 991008 that is divisible by both numbers.

Least Common Multiple (LCM) of 992 and 999 is 991008.

LCM(992,999) = 991008

LCM of 992 and 999

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

LCM of:
and

Least Common Multiple of 992 and 999

LCM of 992 and 999 is 991008

Least common multiple can be found by multiplying the highest exponent prime factors of 992 and 999. First we will calculate the prime factors of 992 and 999.

Prime Factorization of 992


2 992
2 496
2 248
2 124
2 62
31 31
1

Prime factors of 992 are 2,31. Prime factorization of 992 in exponential form is:

992 = 25×311

Prime Factorization of 999


3 999
3 333
3 111
37 37
1

Prime factors of 999 are 3,37. Prime factorization of 999 in exponential form is:

999 = 33×371

Now multiplying the highest exponent prime factors to calculate the LCM of 992 and 999.

LCM(992,999) = 25×33×311×371
LCM(992,999) = 991008

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Least Common Multiple of 992 and 999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 992 and 999, than apply into the LCM equation.

GCF(992,999) = 1
LCM(992,999) = ( 992 × 999) / 1
LCM(992,999) = 991008 / 1
LCM(992,999) = 991008

Properties of LCM 992 and 999

(i) The LCM of 999 and 992 is associative

LCM of 992 and 999 = LCM of 999 and 992

Related Least Common Multiples of 992

Related Least Common Multiples of 999

Frequently Asked Questions on LCM of 992 and 999

1. What is the LCM of 992 and 999?

Answer: LCM of 992 and 999 is 991008.

2. What are the Factors of 992?

Answer: Factors of 992 are 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992. There are 12 integers that are factors of 992. The greatest factor of 992 is 992.

3. What are the Factors of 999?

Answer: Factors of 999 are 1, 3, 9, 27, 37, 111, 333, 999. There are 8 integers that are factors of 999. The greatest factor of 999 is 999.

4. How to Find the LCM of 992 and 999?

Answer:

Least Common Multiple of 992 and 999 = 991008

Step 1: Find the prime factorization of 992

992 = 2 x 2 x 2 x 2 x 2 x 31

Step 2: Find the prime factorization of 999

999 = 3 x 3 x 3 x 37

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 991008 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 31 x 37

Step 4: Therefore, the least common multiple of 992 and 999 is 991008.