Least Common Multiple of 890 and 898

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 898 the smallest integer that is 399610 that is divisible by both numbers.

Least Common Multiple (LCM) of 890 and 898 is 399610.

LCM(890,898) = 399610

LCM of 890 and 898

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

LCM of:
and

Least Common Multiple of 890 and 898

LCM of 890 and 898 is 399610

Least common multiple can be found by multiplying the highest exponent prime factors of 890 and 898. First we will calculate the prime factors of 890 and 898.

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 898


2 898
449 449
1

Prime factors of 898 are 2,449. Prime factorization of 898 in exponential form is:

898 = 21×4491

Now multiplying the highest exponent prime factors to calculate the LCM of 890 and 898.

LCM(890,898) = 21×51×891×4491
LCM(890,898) = 399610

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 898

List of positive integer factors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Least Common Multiple of 890 and 898 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 898, than apply into the LCM equation.

GCF(890,898) = 2
LCM(890,898) = ( 890 × 898) / 2
LCM(890,898) = 799220 / 2
LCM(890,898) = 399610

Properties of LCM 890 and 898

(i) The LCM of 898 and 890 is associative

LCM of 890 and 898 = LCM of 898 and 890

Related Least Common Multiples of 890

Related Least Common Multiples of 898

Frequently Asked Questions on LCM of 890 and 898

1. What is the LCM of 890 and 898?

Answer: LCM of 890 and 898 is 399610.

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 898?

Answer: Factors of 898 are 1, 2, 449, 898. There are 4 integers that are factors of 898. The greatest factor of 898 is 898.

4. How to Find the LCM of 890 and 898?

Answer:

Least Common Multiple of 890 and 898 = 399610

Step 1: Find the prime factorization of 890

890 = 2 x 5 x 89

Step 2: Find the prime factorization of 898

898 = 2 x 449

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

LCM = 399610 = 2 x 5 x 89 x 449

Step 4: Therefore, the least common multiple of 890 and 898 is 399610.