Least Common Multiple of 887 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 887 and 890 the smallest integer that is 789430 that is divisible by both numbers.

Least Common Multiple (LCM) of 887 and 890 is 789430.

LCM(887,890) = 789430

LCM of 887 and 890

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

LCM of:
and

Least Common Multiple of 887 and 890

LCM of 887 and 890 is 789430

Least common multiple can be found by multiplying the highest exponent prime factors of 887 and 890. First we will calculate the prime factors of 887 and 890.

Prime Factorization of 887


887 887
1

Prime factors of 887 are 887. Prime factorization of 887 in exponential form is:

887 = 8871

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 887 and 890.

LCM(887,890) = 21×51×891×8871
LCM(887,890) = 789430

Factors of 887

List of positive integer factors of 887 that divides 887 without a remainder.

1, 887

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 887 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 887 and 890, than apply into the LCM equation.

GCF(887,890) = 1
LCM(887,890) = ( 887 × 890) / 1
LCM(887,890) = 789430 / 1
LCM(887,890) = 789430

Properties of LCM 887 and 890

(i) The LCM of 890 and 887 is associative

LCM of 887 and 890 = LCM of 890 and 887

Related Least Common Multiples of 887

Related Least Common Multiples of 890

Frequently Asked Questions on LCM of 887 and 890

1. What is the LCM of 887 and 890?

Answer: LCM of 887 and 890 is 789430.

2. What are the Factors of 887?

Answer: Factors of 887 are 1, 887. There are 2 integers that are factors of 887. The greatest factor of 887 is 887.

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 887 and 890?

Answer:

Least Common Multiple of 887 and 890 = 789430

Step 1: Find the prime factorization of 887

887 = 887

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 = 789430 = 2 x 5 x 89 x 887

Step 4: Therefore, the least common multiple of 887 and 890 is 789430.