Least Common Multiple of 976 and 984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 976 and 984 the smallest integer that is 120048 that is divisible by both numbers.

Least Common Multiple (LCM) of 976 and 984 is 120048.

LCM(976,984) = 120048

LCM of 976 and 984

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

LCM of:
and

Least Common Multiple of 976 and 984

LCM of 976 and 984 is 120048

Least common multiple can be found by multiplying the highest exponent prime factors of 976 and 984. First we will calculate the prime factors of 976 and 984.

Prime Factorization of 976


2 976
2 488
2 244
2 122
61 61
1

Prime factors of 976 are 2,61. Prime factorization of 976 in exponential form is:

976 = 24×611

Prime Factorization of 984


2 984
2 492
2 246
3 123
41 41
1

Prime factors of 984 are 2, 3,41. Prime factorization of 984 in exponential form is:

984 = 23×31×411

Now multiplying the highest exponent prime factors to calculate the LCM of 976 and 984.

LCM(976,984) = 24×31×411×611
LCM(976,984) = 120048

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Least Common Multiple of 976 and 984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 976 and 984, than apply into the LCM equation.

GCF(976,984) = 8
LCM(976,984) = ( 976 × 984) / 8
LCM(976,984) = 960384 / 8
LCM(976,984) = 120048

Properties of LCM 976 and 984

(i) The LCM of 984 and 976 is associative

LCM of 976 and 984 = LCM of 984 and 976

Related Least Common Multiples of 976

Related Least Common Multiples of 984

Frequently Asked Questions on LCM of 976 and 984

1. What is the LCM of 976 and 984?

Answer: LCM of 976 and 984 is 120048.

2. What are the Factors of 976?

Answer: Factors of 976 are 1, 2, 4, 8, 16, 61, 122, 244, 488, 976. There are 10 integers that are factors of 976. The greatest factor of 976 is 976.

3. What are the Factors of 984?

Answer: Factors of 984 are 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984. There are 16 integers that are factors of 984. The greatest factor of 984 is 984.

4. How to Find the LCM of 976 and 984?

Answer:

Least Common Multiple of 976 and 984 = 120048

Step 1: Find the prime factorization of 976

976 = 2 x 2 x 2 x 2 x 61

Step 2: Find the prime factorization of 984

984 = 2 x 2 x 2 x 3 x 41

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

LCM = 120048 = 2 x 2 x 2 x 2 x 3 x 41 x 61

Step 4: Therefore, the least common multiple of 976 and 984 is 120048.