Least Common Multiple of 902 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 902 and 908 the smallest integer that is 409508 that is divisible by both numbers.

Least Common Multiple (LCM) of 902 and 908 is 409508.

LCM(902,908) = 409508

LCM of 902 and 908

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

LCM of:
and

Least Common Multiple of 902 and 908

LCM of 902 and 908 is 409508

Least common multiple can be found by multiplying the highest exponent prime factors of 902 and 908. First we will calculate the prime factors of 902 and 908.

Prime Factorization of 902


2 902
11 451
41 41
1

Prime factors of 902 are 2, 11,41. Prime factorization of 902 in exponential form is:

902 = 21×111×411

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 902 and 908.

LCM(902,908) = 22×111×411×2271
LCM(902,908) = 409508

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

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 902 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 902 and 908, than apply into the LCM equation.

GCF(902,908) = 2
LCM(902,908) = ( 902 × 908) / 2
LCM(902,908) = 819016 / 2
LCM(902,908) = 409508

Properties of LCM 902 and 908

(i) The LCM of 908 and 902 is associative

LCM of 902 and 908 = LCM of 908 and 902

Related Least Common Multiples of 902

Related Least Common Multiples of 908

Frequently Asked Questions on LCM of 902 and 908

1. What is the LCM of 902 and 908?

Answer: LCM of 902 and 908 is 409508.

2. What are the Factors of 902?

Answer: Factors of 902 are 1, 2, 11, 22, 41, 82, 451, 902. There are 8 integers that are factors of 902. The greatest factor of 902 is 902.

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 902 and 908?

Answer:

Least Common Multiple of 902 and 908 = 409508

Step 1: Find the prime factorization of 902

902 = 2 x 11 x 41

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 = 409508 = 2 x 2 x 11 x 41 x 227

Step 4: Therefore, the least common multiple of 902 and 908 is 409508.