Least Common Multiple of 900 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 900 and 908 the smallest integer that is 204300 that is divisible by both numbers.

Least Common Multiple (LCM) of 900 and 908 is 204300.

LCM(900,908) = 204300

LCM of 900 and 908

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

LCM of:
and

Least Common Multiple of 900 and 908

LCM of 900 and 908 is 204300

Least common multiple can be found by multiplying the highest exponent prime factors of 900 and 908. First we will calculate the prime factors of 900 and 908.

Prime Factorization of 900


2 900
2 450
3 225
3 75
5 25
5 5
1

Prime factors of 900 are 2, 3,5. Prime factorization of 900 in exponential form is:

900 = 22×32×52

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 900 and 908.

LCM(900,908) = 22×32×52×2271
LCM(900,908) = 204300

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

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 900 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 900 and 908, than apply into the LCM equation.

GCF(900,908) = 4
LCM(900,908) = ( 900 × 908) / 4
LCM(900,908) = 817200 / 4
LCM(900,908) = 204300

Properties of LCM 900 and 908

(i) The LCM of 908 and 900 is associative

LCM of 900 and 908 = LCM of 908 and 900

Related Least Common Multiples of 900

Related Least Common Multiples of 908

Frequently Asked Questions on LCM of 900 and 908

1. What is the LCM of 900 and 908?

Answer: LCM of 900 and 908 is 204300.

2. What are the Factors of 900?

Answer: Factors of 900 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900. There are 27 integers that are factors of 900. The greatest factor of 900 is 900.

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 900 and 908?

Answer:

Least Common Multiple of 900 and 908 = 204300

Step 1: Find the prime factorization of 900

900 = 2 x 2 x 3 x 3 x 5 x 5

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 = 204300 = 2 x 2 x 3 x 3 x 5 x 5 x 227

Step 4: Therefore, the least common multiple of 900 and 908 is 204300.