Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 886 and 890 the smallest integer that is 394270 that is divisible by both numbers.
Least Common Multiple (LCM) of 886 and 890 is 394270.
LCM(886,890) = 394270
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 886 and 890. First we will calculate the prime factors of 886 and 890.
Prime Factorization of 886
2 | 886 |
443 | 443 |
1 |
Prime factors of 886 are 2,443. Prime factorization of 886 in exponential form is:
886 = 21×4431
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 886 and 890.
LCM(886,890) = 21×51×891×4431
LCM(886,890) = 394270
Factors of 886
List of positive integer factors of 886 that divides 886 without a remainder.
1, 2, 443, 886
Factors of 890
List of positive integer factors of 890 that divides 890 without a remainder.
1, 2, 5, 10, 89, 178, 445, 890
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 886 and 890, than apply into the LCM equation.
GCF(886,890) = 2
LCM(886,890) = ( 886 × 890) / 2
LCM(886,890) = 788540 / 2
LCM(886,890) = 394270
(i) The LCM of 890 and 886 is associative
LCM of 886 and 890 = LCM of 890 and 886
1. What is the LCM of 886 and 890?
Answer: LCM of 886 and 890 is 394270.
2. What are the Factors of 886?
Answer: Factors of 886 are 1, 2, 443, 886. There are 4 integers that are factors of 886. The greatest factor of 886 is 886.
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 886 and 890?
Answer:
Least Common Multiple of 886 and 890 = 394270
Step 1: Find the prime factorization of 886
886 = 2 x 443
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 = 394270 = 2 x 5 x 89 x 443
Step 4: Therefore, the least common multiple of 886 and 890 is 394270.