Least Common Multiple of 882 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 882 and 890 the smallest integer that is 392490 that is divisible by both numbers.

Least Common Multiple (LCM) of 882 and 890 is 392490.

LCM(882,890) = 392490

LCM of 882 and 890

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

LCM of:
and

Least Common Multiple of 882 and 890

LCM of 882 and 890 is 392490

Least common multiple can be found by multiplying the highest exponent prime factors of 882 and 890. First we will calculate the prime factors of 882 and 890.

Prime Factorization of 882


2 882
3 441
3 147
7 49
7 7
1

Prime factors of 882 are 2, 3,7. Prime factorization of 882 in exponential form is:

882 = 21×32×72

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 882 and 890.

LCM(882,890) = 21×32×51×72×891
LCM(882,890) = 392490

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

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 882 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 882 and 890, than apply into the LCM equation.

GCF(882,890) = 2
LCM(882,890) = ( 882 × 890) / 2
LCM(882,890) = 784980 / 2
LCM(882,890) = 392490

Properties of LCM 882 and 890

(i) The LCM of 890 and 882 is associative

LCM of 882 and 890 = LCM of 890 and 882

Related Least Common Multiples of 882

Related Least Common Multiples of 890

Frequently Asked Questions on LCM of 882 and 890

1. What is the LCM of 882 and 890?

Answer: LCM of 882 and 890 is 392490.

2. What are the Factors of 882?

Answer: Factors of 882 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882. There are 18 integers that are factors of 882. The greatest factor of 882 is 882.

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 882 and 890?

Answer:

Least Common Multiple of 882 and 890 = 392490

Step 1: Find the prime factorization of 882

882 = 2 x 3 x 3 x 7 x 7

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 = 392490 = 2 x 3 x 3 x 5 x 7 x 7 x 89

Step 4: Therefore, the least common multiple of 882 and 890 is 392490.