Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 913 and 920 the smallest integer that is 839960 that is divisible by both numbers.
Least Common Multiple (LCM) of 913 and 920 is 839960.
LCM(913,920) = 839960
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 913 and 920. First we will calculate the prime factors of 913 and 920.
Prime Factorization of 913
11 | 913 |
83 | 83 |
1 |
Prime factors of 913 are 11,83. Prime factorization of 913 in exponential form is:
913 = 111×831
Prime Factorization of 920
2 | 920 |
2 | 460 |
2 | 230 |
5 | 115 |
23 | 23 |
1 |
Prime factors of 920 are 2, 5,23. Prime factorization of 920 in exponential form is:
920 = 23×51×231
Now multiplying the highest exponent prime factors to calculate the LCM of 913 and 920.
LCM(913,920) = 23×51×111×231×831
LCM(913,920) = 839960
Factors of 913
List of positive integer factors of 913 that divides 913 without a remainder.
1, 11, 83, 913
Factors of 920
List of positive integer factors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 913 and 920, than apply into the LCM equation.
GCF(913,920) = 1
LCM(913,920) = ( 913 × 920) / 1
LCM(913,920) = 839960 / 1
LCM(913,920) = 839960
(i) The LCM of 920 and 913 is associative
LCM of 913 and 920 = LCM of 920 and 913
1. What is the LCM of 913 and 920?
Answer: LCM of 913 and 920 is 839960.
2. What are the Factors of 913?
Answer: Factors of 913 are 1, 11, 83, 913. There are 4 integers that are factors of 913. The greatest factor of 913 is 913.
3. What are the Factors of 920?
Answer: Factors of 920 are 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920. There are 16 integers that are factors of 920. The greatest factor of 920 is 920.
4. How to Find the LCM of 913 and 920?
Answer:
Least Common Multiple of 913 and 920 = 839960
Step 1: Find the prime factorization of 913
913 = 11 x 83
Step 2: Find the prime factorization of 920
920 = 2 x 2 x 2 x 5 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 839960 = 2 x 2 x 2 x 5 x 11 x 23 x 83
Step 4: Therefore, the least common multiple of 913 and 920 is 839960.