Least Common Multiple of 979 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 979 and 984 the smallest integer that is 963336 that is divisible by both numbers.

Least Common Multiple (LCM) of 979 and 984 is 963336.

LCM(979,984) = 963336

LCM of 979 and 984

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

LCM of:
and

Least Common Multiple of 979 and 984

LCM of 979 and 984 is 963336

Least common multiple can be found by multiplying the highest exponent prime factors of 979 and 984. First we will calculate the prime factors of 979 and 984.

Prime Factorization of 979


11 979
89 89
1

Prime factors of 979 are 11,89. Prime factorization of 979 in exponential form is:

979 = 111×891

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 979 and 984.

LCM(979,984) = 23×31×111×411×891
LCM(979,984) = 963336

Factors of 979

List of positive integer factors of 979 that divides 979 without a remainder.

1, 11, 89, 979

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 979 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 979 and 984, than apply into the LCM equation.

GCF(979,984) = 1
LCM(979,984) = ( 979 × 984) / 1
LCM(979,984) = 963336 / 1
LCM(979,984) = 963336

Properties of LCM 979 and 984

(i) The LCM of 984 and 979 is associative

LCM of 979 and 984 = LCM of 984 and 979

Related Least Common Multiples of 979

Related Least Common Multiples of 984

Frequently Asked Questions on LCM of 979 and 984

1. What is the LCM of 979 and 984?

Answer: LCM of 979 and 984 is 963336.

2. What are the Factors of 979?

Answer: Factors of 979 are 1, 11, 89, 979. There are 4 integers that are factors of 979. The greatest factor of 979 is 979.

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 979 and 984?

Answer:

Least Common Multiple of 979 and 984 = 963336

Step 1: Find the prime factorization of 979

979 = 11 x 89

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 = 963336 = 2 x 2 x 2 x 3 x 11 x 41 x 89

Step 4: Therefore, the least common multiple of 979 and 984 is 963336.