Least Common Multiple of 895 and 898

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 895 and 898 the smallest integer that is 803710 that is divisible by both numbers.

Least Common Multiple (LCM) of 895 and 898 is 803710.

LCM(895,898) = 803710

LCM of 895 and 898

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

LCM of:
and

Least Common Multiple of 895 and 898

LCM of 895 and 898 is 803710

Least common multiple can be found by multiplying the highest exponent prime factors of 895 and 898. First we will calculate the prime factors of 895 and 898.

Prime Factorization of 895


5 895
179 179
1

Prime factors of 895 are 5,179. Prime factorization of 895 in exponential form is:

895 = 51×1791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 895 and 898.

LCM(895,898) = 21×51×1791×4491
LCM(895,898) = 803710

Factors of 895

List of positive integer factors of 895 that divides 895 without a remainder.

1, 5, 179, 895

Factors of 898

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

1, 2, 449, 898

Least Common Multiple of 895 and 898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 895 and 898, than apply into the LCM equation.

GCF(895,898) = 1
LCM(895,898) = ( 895 × 898) / 1
LCM(895,898) = 803710 / 1
LCM(895,898) = 803710

Properties of LCM 895 and 898

(i) The LCM of 898 and 895 is associative

LCM of 895 and 898 = LCM of 898 and 895

Related Least Common Multiples of 895

Related Least Common Multiples of 898

Frequently Asked Questions on LCM of 895 and 898

1. What is the LCM of 895 and 898?

Answer: LCM of 895 and 898 is 803710.

2. What are the Factors of 895?

Answer: Factors of 895 are 1, 5, 179, 895. There are 4 integers that are factors of 895. The greatest factor of 895 is 895.

3. 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.

4. How to Find the LCM of 895 and 898?

Answer:

Least Common Multiple of 895 and 898 = 803710

Step 1: Find the prime factorization of 895

895 = 5 x 179

Step 2: Find the prime factorization of 898

898 = 2 x 449

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

LCM = 803710 = 2 x 5 x 179 x 449

Step 4: Therefore, the least common multiple of 895 and 898 is 803710.