Least Common Multiple of 900 and 905

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 905 the smallest integer that is 162900 that is divisible by both numbers.

Least Common Multiple (LCM) of 900 and 905 is 162900.

LCM(900,905) = 162900

LCM of 900 and 905

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

LCM of:
and

Least Common Multiple of 900 and 905

LCM of 900 and 905 is 162900

Least common multiple can be found by multiplying the highest exponent prime factors of 900 and 905. First we will calculate the prime factors of 900 and 905.

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 905


5 905
181 181
1

Prime factors of 905 are 5,181. Prime factorization of 905 in exponential form is:

905 = 51×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 900 and 905.

LCM(900,905) = 22×32×52×1811
LCM(900,905) = 162900

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 905

List of positive integer factors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Least Common Multiple of 900 and 905 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 905, than apply into the LCM equation.

GCF(900,905) = 5
LCM(900,905) = ( 900 × 905) / 5
LCM(900,905) = 814500 / 5
LCM(900,905) = 162900

Properties of LCM 900 and 905

(i) The LCM of 905 and 900 is associative

LCM of 900 and 905 = LCM of 905 and 900

Related Least Common Multiples of 900

Related Least Common Multiples of 905

Frequently Asked Questions on LCM of 900 and 905

1. What is the LCM of 900 and 905?

Answer: LCM of 900 and 905 is 162900.

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 905?

Answer: Factors of 905 are 1, 5, 181, 905. There are 4 integers that are factors of 905. The greatest factor of 905 is 905.

4. How to Find the LCM of 900 and 905?

Answer:

Least Common Multiple of 900 and 905 = 162900

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 905

905 = 5 x 181

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

LCM = 162900 = 2 x 2 x 3 x 3 x 5 x 5 x 181

Step 4: Therefore, the least common multiple of 900 and 905 is 162900.