Least Common Multiple of 976 and 980

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 980 the smallest integer that is 239120 that is divisible by both numbers.

Least Common Multiple (LCM) of 976 and 980 is 239120.

LCM(976,980) = 239120

LCM of 976 and 980

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

LCM of:
and

Least Common Multiple of 976 and 980

LCM of 976 and 980 is 239120

Least common multiple can be found by multiplying the highest exponent prime factors of 976 and 980. First we will calculate the prime factors of 976 and 980.

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 980


2 980
2 490
5 245
7 49
7 7
1

Prime factors of 980 are 2, 5,7. Prime factorization of 980 in exponential form is:

980 = 22×51×72

Now multiplying the highest exponent prime factors to calculate the LCM of 976 and 980.

LCM(976,980) = 24×51×72×611
LCM(976,980) = 239120

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 980

List of positive integer factors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Least Common Multiple of 976 and 980 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 980, than apply into the LCM equation.

GCF(976,980) = 4
LCM(976,980) = ( 976 × 980) / 4
LCM(976,980) = 956480 / 4
LCM(976,980) = 239120

Properties of LCM 976 and 980

(i) The LCM of 980 and 976 is associative

LCM of 976 and 980 = LCM of 980 and 976

Related Least Common Multiples of 976

Related Least Common Multiples of 980

Frequently Asked Questions on LCM of 976 and 980

1. What is the LCM of 976 and 980?

Answer: LCM of 976 and 980 is 239120.

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 980?

Answer: Factors of 980 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980. There are 18 integers that are factors of 980. The greatest factor of 980 is 980.

4. How to Find the LCM of 976 and 980?

Answer:

Least Common Multiple of 976 and 980 = 239120

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 980

980 = 2 x 2 x 5 x 7 x 7

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

LCM = 239120 = 2 x 2 x 2 x 2 x 5 x 7 x 7 x 61

Step 4: Therefore, the least common multiple of 976 and 980 is 239120.