Least Common Multiple of 909 and 910
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 909 and 910 the smallest integer that is 827190 that is divisible by both numbers.
Least Common Multiple (LCM) of 909 and 910 is 827190.
LCM(909,910) = 827190
LCM of 909 and 910
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 909 and 910 by Prime method
- Least Common Multiple of 909 and 910 with GCF Formula
LCM of 909 and 910 is 827190
Least common multiple can be found by multiplying the highest exponent prime factors of 909 and 910. First we will calculate the prime factors of 909 and 910.
Prime Factorization of 909
| 3 | 909 |
| 3 | 303 |
| 101 | 101 |
| 1 |
Prime factors of 909 are 3,101. Prime factorization of 909 in exponential form is:
909 = 32×1011
Prime Factorization of 910
| 2 | 910 |
| 5 | 455 |
| 7 | 91 |
| 13 | 13 |
| 1 |
Prime factors of 910 are 2, 5, 7,13. Prime factorization of 910 in exponential form is:
910 = 21×51×71×131
Now multiplying the highest exponent prime factors to calculate the LCM of 909 and 910.
LCM(909,910) = 21×32×51×71×131×1011
LCM(909,910) = 827190
Factors of 909
List of positive integer factors of 909 that divides 909 without a remainder.
1, 3, 9, 101, 303, 909
Factors of 910
List of positive integer factors of 910 that divides 910 without a remainder.
1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
Least Common Multiple of 909 and 910 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 909 and 910, than apply into the LCM equation.
GCF(909,910) = 1
LCM(909,910) = ( 909 × 910) / 1
LCM(909,910) = 827190 / 1
LCM(909,910) = 827190
Properties of LCM 909 and 910
(i) The LCM of 910 and 909 is associative
LCM of 909 and 910 = LCM of 910 and 909
Related Least Common Multiples of 909
Related Least Common Multiples of 910
Frequently Asked Questions on LCM of 909 and 910
1. What is the LCM of 909 and 910?
Answer: LCM of 909 and 910 is 827190.
2. What are the Factors of 909?
Answer: Factors of 909 are 1, 3, 9, 101, 303, 909. There are 6 integers that are factors of 909. The greatest factor of 909 is 909.
3. What are the Factors of 910?
Answer: Factors of 910 are 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910. There are 16 integers that are factors of 910. The greatest factor of 910 is 910.
4. How to Find the LCM of 909 and 910?
Answer:
Least Common Multiple of 909 and 910 = 827190
Step 1: Find the prime factorization of 909
909 = 3 x 3 x 101
Step 2: Find the prime factorization of 910
910 = 2 x 5 x 7 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 827190 = 2 x 3 x 3 x 5 x 7 x 13 x 101
Step 4: Therefore, the least common multiple of 909 and 910 is 827190.