Least Common Multiple of 885 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 885 and 890 the smallest integer that is 157530 that is divisible by both numbers.

Least Common Multiple (LCM) of 885 and 890 is 157530.

LCM(885,890) = 157530

LCM of 885 and 890

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

LCM of:
and

Least Common Multiple of 885 and 890

LCM of 885 and 890 is 157530

Least common multiple can be found by multiplying the highest exponent prime factors of 885 and 890. First we will calculate the prime factors of 885 and 890.

Prime Factorization of 885


3 885
5 295
59 59
1

Prime factors of 885 are 3, 5,59. Prime factorization of 885 in exponential form is:

885 = 31×51×591

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 885 and 890.

LCM(885,890) = 21×31×51×591×891
LCM(885,890) = 157530

Factors of 885

List of positive integer factors of 885 that divides 885 without a remainder.

1, 3, 5, 15, 59, 177, 295, 885

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 885 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 885 and 890, than apply into the LCM equation.

GCF(885,890) = 5
LCM(885,890) = ( 885 × 890) / 5
LCM(885,890) = 787650 / 5
LCM(885,890) = 157530

Properties of LCM 885 and 890

(i) The LCM of 890 and 885 is associative

LCM of 885 and 890 = LCM of 890 and 885

Related Least Common Multiples of 885

Related Least Common Multiples of 890

Frequently Asked Questions on LCM of 885 and 890

1. What is the LCM of 885 and 890?

Answer: LCM of 885 and 890 is 157530.

2. What are the Factors of 885?

Answer: Factors of 885 are 1, 3, 5, 15, 59, 177, 295, 885. There are 8 integers that are factors of 885. The greatest factor of 885 is 885.

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 885 and 890?

Answer:

Least Common Multiple of 885 and 890 = 157530

Step 1: Find the prime factorization of 885

885 = 3 x 5 x 59

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 = 157530 = 2 x 3 x 5 x 59 x 89

Step 4: Therefore, the least common multiple of 885 and 890 is 157530.