Least Common Multiple of 898 and 901

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 901 the smallest integer that is 809098 that is divisible by both numbers.

Least Common Multiple (LCM) of 898 and 901 is 809098.

LCM(898,901) = 809098

LCM of 898 and 901

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

LCM of:
and

Least Common Multiple of 898 and 901

LCM of 898 and 901 is 809098

Least common multiple can be found by multiplying the highest exponent prime factors of 898 and 901. First we will calculate the prime factors of 898 and 901.

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 901


17 901
53 53
1

Prime factors of 901 are 17,53. Prime factorization of 901 in exponential form is:

901 = 171×531

Now multiplying the highest exponent prime factors to calculate the LCM of 898 and 901.

LCM(898,901) = 21×171×531×4491
LCM(898,901) = 809098

Factors of 898

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

1, 2, 449, 898

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Least Common Multiple of 898 and 901 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 901, than apply into the LCM equation.

GCF(898,901) = 1
LCM(898,901) = ( 898 × 901) / 1
LCM(898,901) = 809098 / 1
LCM(898,901) = 809098

Properties of LCM 898 and 901

(i) The LCM of 901 and 898 is associative

LCM of 898 and 901 = LCM of 901 and 898

Related Least Common Multiples of 898

Related Least Common Multiples of 901

Frequently Asked Questions on LCM of 898 and 901

1. What is the LCM of 898 and 901?

Answer: LCM of 898 and 901 is 809098.

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 901?

Answer: Factors of 901 are 1, 17, 53, 901. There are 4 integers that are factors of 901. The greatest factor of 901 is 901.

4. How to Find the LCM of 898 and 901?

Answer:

Least Common Multiple of 898 and 901 = 809098

Step 1: Find the prime factorization of 898

898 = 2 x 449

Step 2: Find the prime factorization of 901

901 = 17 x 53

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

LCM = 809098 = 2 x 17 x 53 x 449

Step 4: Therefore, the least common multiple of 898 and 901 is 809098.