Least Common Multiple of 898 and 902

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 902 the smallest integer that is 404998 that is divisible by both numbers.

Least Common Multiple (LCM) of 898 and 902 is 404998.

LCM(898,902) = 404998

LCM of 898 and 902

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

LCM of:
and

Least Common Multiple of 898 and 902

LCM of 898 and 902 is 404998

Least common multiple can be found by multiplying the highest exponent prime factors of 898 and 902. First we will calculate the prime factors of 898 and 902.

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 902


2 902
11 451
41 41
1

Prime factors of 902 are 2, 11,41. Prime factorization of 902 in exponential form is:

902 = 21×111×411

Now multiplying the highest exponent prime factors to calculate the LCM of 898 and 902.

LCM(898,902) = 21×111×411×4491
LCM(898,902) = 404998

Factors of 898

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

1, 2, 449, 898

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Least Common Multiple of 898 and 902 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 902, than apply into the LCM equation.

GCF(898,902) = 2
LCM(898,902) = ( 898 × 902) / 2
LCM(898,902) = 809996 / 2
LCM(898,902) = 404998

Properties of LCM 898 and 902

(i) The LCM of 902 and 898 is associative

LCM of 898 and 902 = LCM of 902 and 898

Related Least Common Multiples of 898

Related Least Common Multiples of 902

Frequently Asked Questions on LCM of 898 and 902

1. What is the LCM of 898 and 902?

Answer: LCM of 898 and 902 is 404998.

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 902?

Answer: Factors of 902 are 1, 2, 11, 22, 41, 82, 451, 902. There are 8 integers that are factors of 902. The greatest factor of 902 is 902.

4. How to Find the LCM of 898 and 902?

Answer:

Least Common Multiple of 898 and 902 = 404998

Step 1: Find the prime factorization of 898

898 = 2 x 449

Step 2: Find the prime factorization of 902

902 = 2 x 11 x 41

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

LCM = 404998 = 2 x 11 x 41 x 449

Step 4: Therefore, the least common multiple of 898 and 902 is 404998.