Least Common Multiple of 900 and 907

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 907 the smallest integer that is 816300 that is divisible by both numbers.

Least Common Multiple (LCM) of 900 and 907 is 816300.

LCM(900,907) = 816300

LCM of 900 and 907

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

LCM of:
and

Least Common Multiple of 900 and 907

LCM of 900 and 907 is 816300

Least common multiple can be found by multiplying the highest exponent prime factors of 900 and 907. First we will calculate the prime factors of 900 and 907.

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 907


907 907
1

Prime factors of 907 are 907. Prime factorization of 907 in exponential form is:

907 = 9071

Now multiplying the highest exponent prime factors to calculate the LCM of 900 and 907.

LCM(900,907) = 22×32×52×9071
LCM(900,907) = 816300

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 907

List of positive integer factors of 907 that divides 907 without a remainder.

1, 907

Least Common Multiple of 900 and 907 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 907, than apply into the LCM equation.

GCF(900,907) = 1
LCM(900,907) = ( 900 × 907) / 1
LCM(900,907) = 816300 / 1
LCM(900,907) = 816300

Properties of LCM 900 and 907

(i) The LCM of 907 and 900 is associative

LCM of 900 and 907 = LCM of 907 and 900

Related Least Common Multiples of 900

Related Least Common Multiples of 907

Frequently Asked Questions on LCM of 900 and 907

1. What is the LCM of 900 and 907?

Answer: LCM of 900 and 907 is 816300.

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 907?

Answer: Factors of 907 are 1, 907. There are 2 integers that are factors of 907. The greatest factor of 907 is 907.

4. How to Find the LCM of 900 and 907?

Answer:

Least Common Multiple of 900 and 907 = 816300

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 907

907 = 907

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

LCM = 816300 = 2 x 2 x 3 x 3 x 5 x 5 x 907

Step 4: Therefore, the least common multiple of 900 and 907 is 816300.