Least Common Multiple of 985 and 992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 985 and 992 the smallest integer that is 977120 that is divisible by both numbers.

Least Common Multiple (LCM) of 985 and 992 is 977120.

LCM(985,992) = 977120

LCM of 985 and 992

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

LCM of:
and

Least Common Multiple of 985 and 992

LCM of 985 and 992 is 977120

Least common multiple can be found by multiplying the highest exponent prime factors of 985 and 992. First we will calculate the prime factors of 985 and 992.

Prime Factorization of 985


5 985
197 197
1

Prime factors of 985 are 5,197. Prime factorization of 985 in exponential form is:

985 = 51×1971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 985 and 992.

LCM(985,992) = 25×51×311×1971
LCM(985,992) = 977120

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1, 5, 197, 985

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

Least Common Multiple of 985 and 992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 985 and 992, than apply into the LCM equation.

GCF(985,992) = 1
LCM(985,992) = ( 985 × 992) / 1
LCM(985,992) = 977120 / 1
LCM(985,992) = 977120

Properties of LCM 985 and 992

(i) The LCM of 992 and 985 is associative

LCM of 985 and 992 = LCM of 992 and 985

Related Least Common Multiples of 985

Related Least Common Multiples of 992

Frequently Asked Questions on LCM of 985 and 992

1. What is the LCM of 985 and 992?

Answer: LCM of 985 and 992 is 977120.

2. What are the Factors of 985?

Answer: Factors of 985 are 1, 5, 197, 985. There are 4 integers that are factors of 985. The greatest factor of 985 is 985.

3. 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.

4. How to Find the LCM of 985 and 992?

Answer:

Least Common Multiple of 985 and 992 = 977120

Step 1: Find the prime factorization of 985

985 = 5 x 197

Step 2: Find the prime factorization of 992

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

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

LCM = 977120 = 2 x 2 x 2 x 2 x 2 x 5 x 31 x 197

Step 4: Therefore, the least common multiple of 985 and 992 is 977120.