Least Common Multiple of 890 and 897

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 897 the smallest integer that is 798330 that is divisible by both numbers.

Least Common Multiple (LCM) of 890 and 897 is 798330.

LCM(890,897) = 798330

LCM of 890 and 897

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

LCM of:
and

Least Common Multiple of 890 and 897

LCM of 890 and 897 is 798330

Least common multiple can be found by multiplying the highest exponent prime factors of 890 and 897. First we will calculate the prime factors of 890 and 897.

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 897


3 897
13 299
23 23
1

Prime factors of 897 are 3, 13,23. Prime factorization of 897 in exponential form is:

897 = 31×131×231

Now multiplying the highest exponent prime factors to calculate the LCM of 890 and 897.

LCM(890,897) = 21×31×51×131×231×891
LCM(890,897) = 798330

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 897

List of positive integer factors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Least Common Multiple of 890 and 897 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 897, than apply into the LCM equation.

GCF(890,897) = 1
LCM(890,897) = ( 890 × 897) / 1
LCM(890,897) = 798330 / 1
LCM(890,897) = 798330

Properties of LCM 890 and 897

(i) The LCM of 897 and 890 is associative

LCM of 890 and 897 = LCM of 897 and 890

Related Least Common Multiples of 890

Related Least Common Multiples of 897

Frequently Asked Questions on LCM of 890 and 897

1. What is the LCM of 890 and 897?

Answer: LCM of 890 and 897 is 798330.

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 897?

Answer: Factors of 897 are 1, 3, 13, 23, 39, 69, 299, 897. There are 8 integers that are factors of 897. The greatest factor of 897 is 897.

4. How to Find the LCM of 890 and 897?

Answer:

Least Common Multiple of 890 and 897 = 798330

Step 1: Find the prime factorization of 890

890 = 2 x 5 x 89

Step 2: Find the prime factorization of 897

897 = 3 x 13 x 23

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

LCM = 798330 = 2 x 3 x 5 x 13 x 23 x 89

Step 4: Therefore, the least common multiple of 890 and 897 is 798330.