Least Common Multiple of 908 and 915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 908 and 915 the smallest integer that is 830820 that is divisible by both numbers.

Least Common Multiple (LCM) of 908 and 915 is 830820.

LCM(908,915) = 830820

LCM of 908 and 915

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

LCM of:
and

Least Common Multiple of 908 and 915

LCM of 908 and 915 is 830820

Least common multiple can be found by multiplying the highest exponent prime factors of 908 and 915. First we will calculate the prime factors of 908 and 915.

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

Prime Factorization of 915


3 915
5 305
61 61
1

Prime factors of 915 are 3, 5,61. Prime factorization of 915 in exponential form is:

915 = 31×51×611

Now multiplying the highest exponent prime factors to calculate the LCM of 908 and 915.

LCM(908,915) = 22×31×51×611×2271
LCM(908,915) = 830820

Factors of 908

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

1, 2, 4, 227, 454, 908

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Least Common Multiple of 908 and 915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 908 and 915, than apply into the LCM equation.

GCF(908,915) = 1
LCM(908,915) = ( 908 × 915) / 1
LCM(908,915) = 830820 / 1
LCM(908,915) = 830820

Properties of LCM 908 and 915

(i) The LCM of 915 and 908 is associative

LCM of 908 and 915 = LCM of 915 and 908

Related Least Common Multiples of 908

Related Least Common Multiples of 915

Frequently Asked Questions on LCM of 908 and 915

1. What is the LCM of 908 and 915?

Answer: LCM of 908 and 915 is 830820.

2. 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.

3. What are the Factors of 915?

Answer: Factors of 915 are 1, 3, 5, 15, 61, 183, 305, 915. There are 8 integers that are factors of 915. The greatest factor of 915 is 915.

4. How to Find the LCM of 908 and 915?

Answer:

Least Common Multiple of 908 and 915 = 830820

Step 1: Find the prime factorization of 908

908 = 2 x 2 x 227

Step 2: Find the prime factorization of 915

915 = 3 x 5 x 61

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

LCM = 830820 = 2 x 2 x 3 x 5 x 61 x 227

Step 4: Therefore, the least common multiple of 908 and 915 is 830820.