Least Common Multiple of 884 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 884 and 890 the smallest integer that is 393380 that is divisible by both numbers.

Least Common Multiple (LCM) of 884 and 890 is 393380.

LCM(884,890) = 393380

LCM of 884 and 890

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

LCM of:
and

Least Common Multiple of 884 and 890

LCM of 884 and 890 is 393380

Least common multiple can be found by multiplying the highest exponent prime factors of 884 and 890. First we will calculate the prime factors of 884 and 890.

Prime Factorization of 884


2 884
2 442
13 221
17 17
1

Prime factors of 884 are 2, 13,17. Prime factorization of 884 in exponential form is:

884 = 22×131×171

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 884 and 890.

LCM(884,890) = 22×51×131×171×891
LCM(884,890) = 393380

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

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 884 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 884 and 890, than apply into the LCM equation.

GCF(884,890) = 2
LCM(884,890) = ( 884 × 890) / 2
LCM(884,890) = 786760 / 2
LCM(884,890) = 393380

Properties of LCM 884 and 890

(i) The LCM of 890 and 884 is associative

LCM of 884 and 890 = LCM of 890 and 884

Related Least Common Multiples of 884

Related Least Common Multiples of 890

Frequently Asked Questions on LCM of 884 and 890

1. What is the LCM of 884 and 890?

Answer: LCM of 884 and 890 is 393380.

2. What are the Factors of 884?

Answer: Factors of 884 are 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884. There are 12 integers that are factors of 884. The greatest factor of 884 is 884.

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 884 and 890?

Answer:

Least Common Multiple of 884 and 890 = 393380

Step 1: Find the prime factorization of 884

884 = 2 x 2 x 13 x 17

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 = 393380 = 2 x 2 x 5 x 13 x 17 x 89

Step 4: Therefore, the least common multiple of 884 and 890 is 393380.