Least Common Multiple of 976 and 981

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 981 the smallest integer that is 957456 that is divisible by both numbers.

Least Common Multiple (LCM) of 976 and 981 is 957456.

LCM(976,981) = 957456

LCM of 976 and 981

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

LCM of:
and

Least Common Multiple of 976 and 981

LCM of 976 and 981 is 957456

Least common multiple can be found by multiplying the highest exponent prime factors of 976 and 981. First we will calculate the prime factors of 976 and 981.

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 981


3 981
3 327
109 109
1

Prime factors of 981 are 3,109. Prime factorization of 981 in exponential form is:

981 = 32×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 976 and 981.

LCM(976,981) = 24×32×611×1091
LCM(976,981) = 957456

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 981

List of positive integer factors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Least Common Multiple of 976 and 981 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 981, than apply into the LCM equation.

GCF(976,981) = 1
LCM(976,981) = ( 976 × 981) / 1
LCM(976,981) = 957456 / 1
LCM(976,981) = 957456

Properties of LCM 976 and 981

(i) The LCM of 981 and 976 is associative

LCM of 976 and 981 = LCM of 981 and 976

Related Least Common Multiples of 976

Related Least Common Multiples of 981

Frequently Asked Questions on LCM of 976 and 981

1. What is the LCM of 976 and 981?

Answer: LCM of 976 and 981 is 957456.

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 981?

Answer: Factors of 981 are 1, 3, 9, 109, 327, 981. There are 6 integers that are factors of 981. The greatest factor of 981 is 981.

4. How to Find the LCM of 976 and 981?

Answer:

Least Common Multiple of 976 and 981 = 957456

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 981

981 = 3 x 3 x 109

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

LCM = 957456 = 2 x 2 x 2 x 2 x 3 x 3 x 61 x 109

Step 4: Therefore, the least common multiple of 976 and 981 is 957456.