Least Common Multiple of 900 and 904

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 904 the smallest integer that is 203400 that is divisible by both numbers.

Least Common Multiple (LCM) of 900 and 904 is 203400.

LCM(900,904) = 203400

LCM of 900 and 904

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

LCM of:
and

Least Common Multiple of 900 and 904

LCM of 900 and 904 is 203400

Least common multiple can be found by multiplying the highest exponent prime factors of 900 and 904. First we will calculate the prime factors of 900 and 904.

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 904


2 904
2 452
2 226
113 113
1

Prime factors of 904 are 2,113. Prime factorization of 904 in exponential form is:

904 = 23×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 900 and 904.

LCM(900,904) = 23×32×52×1131
LCM(900,904) = 203400

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 904

List of positive integer factors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Least Common Multiple of 900 and 904 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 904, than apply into the LCM equation.

GCF(900,904) = 4
LCM(900,904) = ( 900 × 904) / 4
LCM(900,904) = 813600 / 4
LCM(900,904) = 203400

Properties of LCM 900 and 904

(i) The LCM of 904 and 900 is associative

LCM of 900 and 904 = LCM of 904 and 900

Related Least Common Multiples of 900

Related Least Common Multiples of 904

Frequently Asked Questions on LCM of 900 and 904

1. What is the LCM of 900 and 904?

Answer: LCM of 900 and 904 is 203400.

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 904?

Answer: Factors of 904 are 1, 2, 4, 8, 113, 226, 452, 904. There are 8 integers that are factors of 904. The greatest factor of 904 is 904.

4. How to Find the LCM of 900 and 904?

Answer:

Least Common Multiple of 900 and 904 = 203400

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 904

904 = 2 x 2 x 2 x 113

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

LCM = 203400 = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 113

Step 4: Therefore, the least common multiple of 900 and 904 is 203400.