Least Common Multiple of 901 and 908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 901 and 908 the smallest integer that is 818108 that is divisible by both numbers.

Least Common Multiple (LCM) of 901 and 908 is 818108.

LCM(901,908) = 818108

LCM of 901 and 908

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

LCM of:
and

Least Common Multiple of 901 and 908

LCM of 901 and 908 is 818108

Least common multiple can be found by multiplying the highest exponent prime factors of 901 and 908. First we will calculate the prime factors of 901 and 908.

Prime Factorization of 901


17 901
53 53
1

Prime factors of 901 are 17,53. Prime factorization of 901 in exponential form is:

901 = 171×531

Prime Factorization of 908


2 908
2 454
227 227
1

Prime factors of 908 are 2,227. Prime factorization of 908 in exponential form is:

908 = 22×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 901 and 908.

LCM(901,908) = 22×171×531×2271
LCM(901,908) = 818108

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Least Common Multiple of 901 and 908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 901 and 908, than apply into the LCM equation.

GCF(901,908) = 1
LCM(901,908) = ( 901 × 908) / 1
LCM(901,908) = 818108 / 1
LCM(901,908) = 818108

Properties of LCM 901 and 908

(i) The LCM of 908 and 901 is associative

LCM of 901 and 908 = LCM of 908 and 901

Related Least Common Multiples of 901

Related Least Common Multiples of 908

Frequently Asked Questions on LCM of 901 and 908

1. What is the LCM of 901 and 908?

Answer: LCM of 901 and 908 is 818108.

2. What are the Factors of 901?

Answer: Factors of 901 are 1, 17, 53, 901. There are 4 integers that are factors of 901. The greatest factor of 901 is 901.

3. What are the Factors of 908?

Answer: Factors of 908 are 1, 2, 4, 227, 454, 908. There are 6 integers that are factors of 908. The greatest factor of 908 is 908.

4. How to Find the LCM of 901 and 908?

Answer:

Least Common Multiple of 901 and 908 = 818108

Step 1: Find the prime factorization of 901

901 = 17 x 53

Step 2: Find the prime factorization of 908

908 = 2 x 2 x 227

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

LCM = 818108 = 2 x 2 x 17 x 53 x 227

Step 4: Therefore, the least common multiple of 901 and 908 is 818108.