Least Common Multiple of 894 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 894 and 898 the smallest integer that is 401406 that is divisible by both numbers.

Least Common Multiple (LCM) of 894 and 898 is 401406.

LCM(894,898) = 401406

LCM of 894 and 898

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

LCM of:
and

Least Common Multiple of 894 and 898

LCM of 894 and 898 is 401406

Least common multiple can be found by multiplying the highest exponent prime factors of 894 and 898. First we will calculate the prime factors of 894 and 898.

Prime Factorization of 894


2 894
3 447
149 149
1

Prime factors of 894 are 2, 3,149. Prime factorization of 894 in exponential form is:

894 = 21×31×1491

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 894 and 898.

LCM(894,898) = 21×31×1491×4491
LCM(894,898) = 401406

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Factors of 898

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

1, 2, 449, 898

Least Common Multiple of 894 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 894 and 898, than apply into the LCM equation.

GCF(894,898) = 2
LCM(894,898) = ( 894 × 898) / 2
LCM(894,898) = 802812 / 2
LCM(894,898) = 401406

Properties of LCM 894 and 898

(i) The LCM of 898 and 894 is associative

LCM of 894 and 898 = LCM of 898 and 894

Related Least Common Multiples of 894

Related Least Common Multiples of 898

Frequently Asked Questions on LCM of 894 and 898

1. What is the LCM of 894 and 898?

Answer: LCM of 894 and 898 is 401406.

2. What are the Factors of 894?

Answer: Factors of 894 are 1, 2, 3, 6, 149, 298, 447, 894. There are 8 integers that are factors of 894. The greatest factor of 894 is 894.

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 894 and 898?

Answer:

Least Common Multiple of 894 and 898 = 401406

Step 1: Find the prime factorization of 894

894 = 2 x 3 x 149

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 = 401406 = 2 x 3 x 149 x 449

Step 4: Therefore, the least common multiple of 894 and 898 is 401406.