Least Common Multiple of 898 and 904

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 904 the smallest integer that is 405896 that is divisible by both numbers.

Least Common Multiple (LCM) of 898 and 904 is 405896.

LCM(898,904) = 405896

LCM of 898 and 904

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

LCM of:
and

Least Common Multiple of 898 and 904

LCM of 898 and 904 is 405896

Least common multiple can be found by multiplying the highest exponent prime factors of 898 and 904. First we will calculate the prime factors of 898 and 904.

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 904


2 904
2 452
2 226
113 113
1

Prime factors of 904 are 2,113. Prime factorization of 904 in exponential form is:

904 = 23×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 898 and 904.

LCM(898,904) = 23×1131×4491
LCM(898,904) = 405896

Factors of 898

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

1, 2, 449, 898

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Least Common Multiple of 898 and 904 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 904, than apply into the LCM equation.

GCF(898,904) = 2
LCM(898,904) = ( 898 × 904) / 2
LCM(898,904) = 811792 / 2
LCM(898,904) = 405896

Properties of LCM 898 and 904

(i) The LCM of 904 and 898 is associative

LCM of 898 and 904 = LCM of 904 and 898

Related Least Common Multiples of 898

Related Least Common Multiples of 904

Frequently Asked Questions on LCM of 898 and 904

1. What is the LCM of 898 and 904?

Answer: LCM of 898 and 904 is 405896.

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 904?

Answer: Factors of 904 are 1, 2, 4, 8, 113, 226, 452, 904. There are 8 integers that are factors of 904. The greatest factor of 904 is 904.

4. How to Find the LCM of 898 and 904?

Answer:

Least Common Multiple of 898 and 904 = 405896

Step 1: Find the prime factorization of 898

898 = 2 x 449

Step 2: Find the prime factorization of 904

904 = 2 x 2 x 2 x 113

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

LCM = 405896 = 2 x 2 x 2 x 113 x 449

Step 4: Therefore, the least common multiple of 898 and 904 is 405896.