Least Common Multiple of 888 and 890

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 888 and 890 the smallest integer that is 395160 that is divisible by both numbers.

Least Common Multiple (LCM) of 888 and 890 is 395160.

LCM(888,890) = 395160

LCM of 888 and 890

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

LCM of:
and

Least Common Multiple of 888 and 890

LCM of 888 and 890 is 395160

Least common multiple can be found by multiplying the highest exponent prime factors of 888 and 890. First we will calculate the prime factors of 888 and 890.

Prime Factorization of 888


2 888
2 444
2 222
3 111
37 37
1

Prime factors of 888 are 2, 3,37. Prime factorization of 888 in exponential form is:

888 = 23×31×371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 888 and 890.

LCM(888,890) = 23×31×51×371×891
LCM(888,890) = 395160

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Factors of 890

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

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

Least Common Multiple of 888 and 890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 888 and 890, than apply into the LCM equation.

GCF(888,890) = 2
LCM(888,890) = ( 888 × 890) / 2
LCM(888,890) = 790320 / 2
LCM(888,890) = 395160

Properties of LCM 888 and 890

(i) The LCM of 890 and 888 is associative

LCM of 888 and 890 = LCM of 890 and 888

Related Least Common Multiples of 888

Related Least Common Multiples of 890

Frequently Asked Questions on LCM of 888 and 890

1. What is the LCM of 888 and 890?

Answer: LCM of 888 and 890 is 395160.

2. What are the Factors of 888?

Answer: Factors of 888 are 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888. There are 16 integers that are factors of 888. The greatest factor of 888 is 888.

3. 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.

4. How to Find the LCM of 888 and 890?

Answer:

Least Common Multiple of 888 and 890 = 395160

Step 1: Find the prime factorization of 888

888 = 2 x 2 x 2 x 3 x 37

Step 2: Find the prime factorization of 890

890 = 2 x 5 x 89

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

LCM = 395160 = 2 x 2 x 2 x 3 x 5 x 37 x 89

Step 4: Therefore, the least common multiple of 888 and 890 is 395160.