Least Common Multiple of 894 and 900

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 900 the smallest integer that is 134100 that is divisible by both numbers.

Least Common Multiple (LCM) of 894 and 900 is 134100.

LCM(894,900) = 134100

LCM of 894 and 900

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

LCM of:
and

Least Common Multiple of 894 and 900

LCM of 894 and 900 is 134100

Least common multiple can be found by multiplying the highest exponent prime factors of 894 and 900. First we will calculate the prime factors of 894 and 900.

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 900


2 900
2 450
3 225
3 75
5 25
5 5
1

Prime factors of 900 are 2, 3,5. Prime factorization of 900 in exponential form is:

900 = 22×32×52

Now multiplying the highest exponent prime factors to calculate the LCM of 894 and 900.

LCM(894,900) = 22×32×52×1491
LCM(894,900) = 134100

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 900

List of positive integer factors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Least Common Multiple of 894 and 900 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 900, than apply into the LCM equation.

GCF(894,900) = 6
LCM(894,900) = ( 894 × 900) / 6
LCM(894,900) = 804600 / 6
LCM(894,900) = 134100

Properties of LCM 894 and 900

(i) The LCM of 900 and 894 is associative

LCM of 894 and 900 = LCM of 900 and 894

Related Least Common Multiples of 894

Related Least Common Multiples of 900

Frequently Asked Questions on LCM of 894 and 900

1. What is the LCM of 894 and 900?

Answer: LCM of 894 and 900 is 134100.

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 900?

Answer: Factors of 900 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900. There are 27 integers that are factors of 900. The greatest factor of 900 is 900.

4. How to Find the LCM of 894 and 900?

Answer:

Least Common Multiple of 894 and 900 = 134100

Step 1: Find the prime factorization of 894

894 = 2 x 3 x 149

Step 2: Find the prime factorization of 900

900 = 2 x 2 x 3 x 3 x 5 x 5

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

LCM = 134100 = 2 x 2 x 3 x 3 x 5 x 5 x 149

Step 4: Therefore, the least common multiple of 894 and 900 is 134100.