Least Common Multiple of 975 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 975 and 980 the smallest integer that is 191100 that is divisible by both numbers.

Least Common Multiple (LCM) of 975 and 980 is 191100.

LCM(975,980) = 191100

LCM of 975 and 980

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

LCM of:
and

Least Common Multiple of 975 and 980

LCM of 975 and 980 is 191100

Least common multiple can be found by multiplying the highest exponent prime factors of 975 and 980. First we will calculate the prime factors of 975 and 980.

Prime Factorization of 975


3 975
5 325
5 65
13 13
1

Prime factors of 975 are 3, 5,13. Prime factorization of 975 in exponential form is:

975 = 31×52×131

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 975 and 980.

LCM(975,980) = 22×31×52×72×131
LCM(975,980) = 191100

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

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 975 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 975 and 980, than apply into the LCM equation.

GCF(975,980) = 5
LCM(975,980) = ( 975 × 980) / 5
LCM(975,980) = 955500 / 5
LCM(975,980) = 191100

Properties of LCM 975 and 980

(i) The LCM of 980 and 975 is associative

LCM of 975 and 980 = LCM of 980 and 975

Related Least Common Multiples of 975

Related Least Common Multiples of 980

Frequently Asked Questions on LCM of 975 and 980

1. What is the LCM of 975 and 980?

Answer: LCM of 975 and 980 is 191100.

2. What are the Factors of 975?

Answer: Factors of 975 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975. There are 12 integers that are factors of 975. The greatest factor of 975 is 975.

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 975 and 980?

Answer:

Least Common Multiple of 975 and 980 = 191100

Step 1: Find the prime factorization of 975

975 = 3 x 5 x 5 x 13

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 = 191100 = 2 x 2 x 3 x 5 x 5 x 7 x 7 x 13

Step 4: Therefore, the least common multiple of 975 and 980 is 191100.