Least Common Multiple of 900 and 903

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 903 the smallest integer that is 270900 that is divisible by both numbers.

Least Common Multiple (LCM) of 900 and 903 is 270900.

LCM(900,903) = 270900

LCM of 900 and 903

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

LCM of:
and

Least Common Multiple of 900 and 903

LCM of 900 and 903 is 270900

Least common multiple can be found by multiplying the highest exponent prime factors of 900 and 903. First we will calculate the prime factors of 900 and 903.

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 903


3 903
7 301
43 43
1

Prime factors of 903 are 3, 7,43. Prime factorization of 903 in exponential form is:

903 = 31×71×431

Now multiplying the highest exponent prime factors to calculate the LCM of 900 and 903.

LCM(900,903) = 22×32×52×71×431
LCM(900,903) = 270900

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 903

List of positive integer factors of 903 that divides 903 without a remainder.

1, 3, 7, 21, 43, 129, 301, 903

Least Common Multiple of 900 and 903 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 903, than apply into the LCM equation.

GCF(900,903) = 3
LCM(900,903) = ( 900 × 903) / 3
LCM(900,903) = 812700 / 3
LCM(900,903) = 270900

Properties of LCM 900 and 903

(i) The LCM of 903 and 900 is associative

LCM of 900 and 903 = LCM of 903 and 900

Related Least Common Multiples of 900

Related Least Common Multiples of 903

Frequently Asked Questions on LCM of 900 and 903

1. What is the LCM of 900 and 903?

Answer: LCM of 900 and 903 is 270900.

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 903?

Answer: Factors of 903 are 1, 3, 7, 21, 43, 129, 301, 903. There are 8 integers that are factors of 903. The greatest factor of 903 is 903.

4. How to Find the LCM of 900 and 903?

Answer:

Least Common Multiple of 900 and 903 = 270900

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 903

903 = 3 x 7 x 43

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

LCM = 270900 = 2 x 2 x 3 x 3 x 5 x 5 x 7 x 43

Step 4: Therefore, the least common multiple of 900 and 903 is 270900.