Least Common Multiple of 897 and 900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 897 and 900 the smallest integer that is 269100 that is divisible by both numbers.

Least Common Multiple (LCM) of 897 and 900 is 269100.

LCM(897,900) = 269100

LCM of 897 and 900

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

LCM of:
and

Least Common Multiple of 897 and 900

LCM of 897 and 900 is 269100

Least common multiple can be found by multiplying the highest exponent prime factors of 897 and 900. First we will calculate the prime factors of 897 and 900.

Prime Factorization of 897


3 897
13 299
23 23
1

Prime factors of 897 are 3, 13,23. Prime factorization of 897 in exponential form is:

897 = 31×131×231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 897 and 900.

LCM(897,900) = 22×32×52×131×231
LCM(897,900) = 269100

Factors of 897

List of positive integer factors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

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

Least Common Multiple of 897 and 900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 897 and 900, than apply into the LCM equation.

GCF(897,900) = 3
LCM(897,900) = ( 897 × 900) / 3
LCM(897,900) = 807300 / 3
LCM(897,900) = 269100

Properties of LCM 897 and 900

(i) The LCM of 900 and 897 is associative

LCM of 897 and 900 = LCM of 900 and 897

Related Least Common Multiples of 897

Related Least Common Multiples of 900

Frequently Asked Questions on LCM of 897 and 900

1. What is the LCM of 897 and 900?

Answer: LCM of 897 and 900 is 269100.

2. What are the Factors of 897?

Answer: Factors of 897 are 1, 3, 13, 23, 39, 69, 299, 897. There are 8 integers that are factors of 897. The greatest factor of 897 is 897.

3. 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.

4. How to Find the LCM of 897 and 900?

Answer:

Least Common Multiple of 897 and 900 = 269100

Step 1: Find the prime factorization of 897

897 = 3 x 13 x 23

Step 2: Find the prime factorization of 900

900 = 2 x 2 x 3 x 3 x 5 x 5

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

LCM = 269100 = 2 x 2 x 3 x 3 x 5 x 5 x 13 x 23

Step 4: Therefore, the least common multiple of 897 and 900 is 269100.