Least Common Multiple of 894 and 896

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 896 the smallest integer that is 400512 that is divisible by both numbers.

Least Common Multiple (LCM) of 894 and 896 is 400512.

LCM(894,896) = 400512

LCM of 894 and 896

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

LCM of:
and

Least Common Multiple of 894 and 896

LCM of 894 and 896 is 400512

Least common multiple can be found by multiplying the highest exponent prime factors of 894 and 896. First we will calculate the prime factors of 894 and 896.

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 896


2 896
2 448
2 224
2 112
2 56
2 28
2 14
7 7
1

Prime factors of 896 are 2,7. Prime factorization of 896 in exponential form is:

896 = 27×71

Now multiplying the highest exponent prime factors to calculate the LCM of 894 and 896.

LCM(894,896) = 27×31×71×1491
LCM(894,896) = 400512

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 896

List of positive integer factors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Least Common Multiple of 894 and 896 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 896, than apply into the LCM equation.

GCF(894,896) = 2
LCM(894,896) = ( 894 × 896) / 2
LCM(894,896) = 801024 / 2
LCM(894,896) = 400512

Properties of LCM 894 and 896

(i) The LCM of 896 and 894 is associative

LCM of 894 and 896 = LCM of 896 and 894

Related Least Common Multiples of 894

Related Least Common Multiples of 896

Frequently Asked Questions on LCM of 894 and 896

1. What is the LCM of 894 and 896?

Answer: LCM of 894 and 896 is 400512.

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 896?

Answer: Factors of 896 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896. There are 16 integers that are factors of 896. The greatest factor of 896 is 896.

4. How to Find the LCM of 894 and 896?

Answer:

Least Common Multiple of 894 and 896 = 400512

Step 1: Find the prime factorization of 894

894 = 2 x 3 x 149

Step 2: Find the prime factorization of 896

896 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

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

LCM = 400512 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 149

Step 4: Therefore, the least common multiple of 894 and 896 is 400512.