Least Common Multiple of 900 and 902

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 902 the smallest integer that is 405900 that is divisible by both numbers.

Least Common Multiple (LCM) of 900 and 902 is 405900.

LCM(900,902) = 405900

LCM of 900 and 902

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

LCM of:
and

Least Common Multiple of 900 and 902

LCM of 900 and 902 is 405900

Least common multiple can be found by multiplying the highest exponent prime factors of 900 and 902. First we will calculate the prime factors of 900 and 902.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 900 and 902.

LCM(900,902) = 22×32×52×111×411
LCM(900,902) = 405900

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 902

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

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

Least Common Multiple of 900 and 902 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 902, than apply into the LCM equation.

GCF(900,902) = 2
LCM(900,902) = ( 900 × 902) / 2
LCM(900,902) = 811800 / 2
LCM(900,902) = 405900

Properties of LCM 900 and 902

(i) The LCM of 902 and 900 is associative

LCM of 900 and 902 = LCM of 902 and 900

Related Least Common Multiples of 900

Related Least Common Multiples of 902

Frequently Asked Questions on LCM of 900 and 902

1. What is the LCM of 900 and 902?

Answer: LCM of 900 and 902 is 405900.

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 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.

4. How to Find the LCM of 900 and 902?

Answer:

Least Common Multiple of 900 and 902 = 405900

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 902

902 = 2 x 11 x 41

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

LCM = 405900 = 2 x 2 x 3 x 3 x 5 x 5 x 11 x 41

Step 4: Therefore, the least common multiple of 900 and 902 is 405900.