Least Common Multiple of 898 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 898 and 900 the smallest integer that is 404100 that is divisible by both numbers.

Least Common Multiple (LCM) of 898 and 900 is 404100.

LCM(898,900) = 404100

LCM of 898 and 900

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

LCM of:
and

Least Common Multiple of 898 and 900

LCM of 898 and 900 is 404100

Least common multiple can be found by multiplying the highest exponent prime factors of 898 and 900. First we will calculate the prime factors of 898 and 900.

Prime Factorization of 898


2 898
449 449
1

Prime factors of 898 are 2,449. Prime factorization of 898 in exponential form is:

898 = 21×4491

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 898 and 900.

LCM(898,900) = 22×32×52×4491
LCM(898,900) = 404100

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1, 2, 449, 898

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 898 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 898 and 900, than apply into the LCM equation.

GCF(898,900) = 2
LCM(898,900) = ( 898 × 900) / 2
LCM(898,900) = 808200 / 2
LCM(898,900) = 404100

Properties of LCM 898 and 900

(i) The LCM of 900 and 898 is associative

LCM of 898 and 900 = LCM of 900 and 898

Related Least Common Multiples of 898

Related Least Common Multiples of 900

Frequently Asked Questions on LCM of 898 and 900

1. What is the LCM of 898 and 900?

Answer: LCM of 898 and 900 is 404100.

2. What are the Factors of 898?

Answer: Factors of 898 are 1, 2, 449, 898. There are 4 integers that are factors of 898. The greatest factor of 898 is 898.

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 898 and 900?

Answer:

Least Common Multiple of 898 and 900 = 404100

Step 1: Find the prime factorization of 898

898 = 2 x 449

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 = 404100 = 2 x 2 x 3 x 3 x 5 x 5 x 449

Step 4: Therefore, the least common multiple of 898 and 900 is 404100.