Least Common Multiple of 890 and 894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 890 and 894 the smallest integer that is 397830 that is divisible by both numbers.

Least Common Multiple (LCM) of 890 and 894 is 397830.

LCM(890,894) = 397830

LCM of 890 and 894

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

LCM of:
and

Least Common Multiple of 890 and 894

LCM of 890 and 894 is 397830

Least common multiple can be found by multiplying the highest exponent prime factors of 890 and 894. First we will calculate the prime factors of 890 and 894.

Prime Factorization of 890


2 890
5 445
89 89
1

Prime factors of 890 are 2, 5,89. Prime factorization of 890 in exponential form is:

890 = 21×51×891

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

Now multiplying the highest exponent prime factors to calculate the LCM of 890 and 894.

LCM(890,894) = 21×31×51×891×1491
LCM(890,894) = 397830

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Factors of 894

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

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

Least Common Multiple of 890 and 894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 890 and 894, than apply into the LCM equation.

GCF(890,894) = 2
LCM(890,894) = ( 890 × 894) / 2
LCM(890,894) = 795660 / 2
LCM(890,894) = 397830

Properties of LCM 890 and 894

(i) The LCM of 894 and 890 is associative

LCM of 890 and 894 = LCM of 894 and 890

Related Least Common Multiples of 890

Related Least Common Multiples of 894

Frequently Asked Questions on LCM of 890 and 894

1. What is the LCM of 890 and 894?

Answer: LCM of 890 and 894 is 397830.

2. What are the Factors of 890?

Answer: Factors of 890 are 1, 2, 5, 10, 89, 178, 445, 890. There are 8 integers that are factors of 890. The greatest factor of 890 is 890.

3. 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.

4. How to Find the LCM of 890 and 894?

Answer:

Least Common Multiple of 890 and 894 = 397830

Step 1: Find the prime factorization of 890

890 = 2 x 5 x 89

Step 2: Find the prime factorization of 894

894 = 2 x 3 x 149

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

LCM = 397830 = 2 x 3 x 5 x 89 x 149

Step 4: Therefore, the least common multiple of 890 and 894 is 397830.