Least Common Multiple of 910 and 917
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 910 and 917 the smallest integer that is 119210 that is divisible by both numbers.
Least Common Multiple (LCM) of 910 and 917 is 119210.
LCM(910,917) = 119210
LCM of 910 and 917
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 910 and 917 by Prime method
- Least Common Multiple of 910 and 917 with GCF Formula
LCM of 910 and 917 is 119210
Least common multiple can be found by multiplying the highest exponent prime factors of 910 and 917. First we will calculate the prime factors of 910 and 917.
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
Prime Factorization of 917
| 7 | 917 |
| 131 | 131 |
| 1 |
Prime factors of 917 are 7,131. Prime factorization of 917 in exponential form is:
917 = 71×1311
Now multiplying the highest exponent prime factors to calculate the LCM of 910 and 917.
LCM(910,917) = 21×51×71×131×1311
LCM(910,917) = 119210
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
Factors of 917
List of positive integer factors of 917 that divides 917 without a remainder.
1, 7, 131, 917
Least Common Multiple of 910 and 917 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 910 and 917, than apply into the LCM equation.
GCF(910,917) = 7
LCM(910,917) = ( 910 × 917) / 7
LCM(910,917) = 834470 / 7
LCM(910,917) = 119210
Properties of LCM 910 and 917
(i) The LCM of 917 and 910 is associative
LCM of 910 and 917 = LCM of 917 and 910
Related Least Common Multiples of 910
Related Least Common Multiples of 917
Frequently Asked Questions on LCM of 910 and 917
1. What is the LCM of 910 and 917?
Answer: LCM of 910 and 917 is 119210.
2. 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.
3. What are the Factors of 917?
Answer: Factors of 917 are 1, 7, 131, 917. There are 4 integers that are factors of 917. The greatest factor of 917 is 917.
4. How to Find the LCM of 910 and 917?
Answer:
Least Common Multiple of 910 and 917 = 119210
Step 1: Find the prime factorization of 910
910 = 2 x 5 x 7 x 13
Step 2: Find the prime factorization of 917
917 = 7 x 131
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 119210 = 2 x 5 x 7 x 13 x 131
Step 4: Therefore, the least common multiple of 910 and 917 is 119210.