Least Common Multiple of 898 and 903

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 903 the smallest integer that is 810894 that is divisible by both numbers.

Least Common Multiple (LCM) of 898 and 903 is 810894.

LCM(898,903) = 810894

LCM of 898 and 903

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

LCM of:
and

Least Common Multiple of 898 and 903

LCM of 898 and 903 is 810894

Least common multiple can be found by multiplying the highest exponent prime factors of 898 and 903. First we will calculate the prime factors of 898 and 903.

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 903


3 903
7 301
43 43
1

Prime factors of 903 are 3, 7,43. Prime factorization of 903 in exponential form is:

903 = 31×71×431

Now multiplying the highest exponent prime factors to calculate the LCM of 898 and 903.

LCM(898,903) = 21×31×71×431×4491
LCM(898,903) = 810894

Factors of 898

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

1, 2, 449, 898

Factors of 903

List of positive integer factors of 903 that divides 903 without a remainder.

1, 3, 7, 21, 43, 129, 301, 903

Least Common Multiple of 898 and 903 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 903, than apply into the LCM equation.

GCF(898,903) = 1
LCM(898,903) = ( 898 × 903) / 1
LCM(898,903) = 810894 / 1
LCM(898,903) = 810894

Properties of LCM 898 and 903

(i) The LCM of 903 and 898 is associative

LCM of 898 and 903 = LCM of 903 and 898

Related Least Common Multiples of 898

Related Least Common Multiples of 903

Frequently Asked Questions on LCM of 898 and 903

1. What is the LCM of 898 and 903?

Answer: LCM of 898 and 903 is 810894.

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 903?

Answer: Factors of 903 are 1, 3, 7, 21, 43, 129, 301, 903. There are 8 integers that are factors of 903. The greatest factor of 903 is 903.

4. How to Find the LCM of 898 and 903?

Answer:

Least Common Multiple of 898 and 903 = 810894

Step 1: Find the prime factorization of 898

898 = 2 x 449

Step 2: Find the prime factorization of 903

903 = 3 x 7 x 43

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

LCM = 810894 = 2 x 3 x 7 x 43 x 449

Step 4: Therefore, the least common multiple of 898 and 903 is 810894.