Least Common Multiple of 890 and 893
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 893 the smallest integer that is 794770 that is divisible by both numbers.
Least Common Multiple (LCM) of 890 and 893 is 794770.
LCM(890,893) = 794770
LCM of 890 and 893
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 890 and 893 by Prime method
- Least Common Multiple of 890 and 893 with GCF Formula
LCM of 890 and 893 is 794770
Least common multiple can be found by multiplying the highest exponent prime factors of 890 and 893. First we will calculate the prime factors of 890 and 893.
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 893
| 19 | 893 |
| 47 | 47 |
| 1 |
Prime factors of 893 are 19,47. Prime factorization of 893 in exponential form is:
893 = 191×471
Now multiplying the highest exponent prime factors to calculate the LCM of 890 and 893.
LCM(890,893) = 21×51×191×471×891
LCM(890,893) = 794770
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 893
List of positive integer factors of 893 that divides 893 without a remainder.
1, 19, 47, 893
Least Common Multiple of 890 and 893 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 893, than apply into the LCM equation.
GCF(890,893) = 1
LCM(890,893) = ( 890 × 893) / 1
LCM(890,893) = 794770 / 1
LCM(890,893) = 794770
Properties of LCM 890 and 893
(i) The LCM of 893 and 890 is associative
LCM of 890 and 893 = LCM of 893 and 890
Related Least Common Multiples of 890
Related Least Common Multiples of 893
Frequently Asked Questions on LCM of 890 and 893
1. What is the LCM of 890 and 893?
Answer: LCM of 890 and 893 is 794770.
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 893?
Answer: Factors of 893 are 1, 19, 47, 893. There are 4 integers that are factors of 893. The greatest factor of 893 is 893.
4. How to Find the LCM of 890 and 893?
Answer:
Least Common Multiple of 890 and 893 = 794770
Step 1: Find the prime factorization of 890
890 = 2 x 5 x 89
Step 2: Find the prime factorization of 893
893 = 19 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 794770 = 2 x 5 x 19 x 47 x 89
Step 4: Therefore, the least common multiple of 890 and 893 is 794770.
