It is easy to find the LCM of 151 and 155 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 23405 as output. Here you can check the answer for Find the LCM of 151 and 155.
Given Numbers are 151, 155
We can find the LCM of 151, 155 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 151 and 155
Multiples of 151 =151,302,453,604,755,906,1057,1208,1359,1510,1661,1812,1963,2114,2265,2416,2567,
Multiples of 155 =155,310,465,620,775,930,1085,1240,1395,1550,1705,1860,2015,2170,2325,2480,2635,
Now, get the least common multiple of 151, 155 which is 23405
So, the LCM of 151, 155 is 23405.
One method for determining the LCM of 151 and 155 is to compare the prime factorization of each number. You can find the prime factorization for each number by following the instructions below:
Here is 151's prime factorization:151 | 151 |
1 |
Prime factors of 151 are 151.
151 = 1511
And this is 155's prime factorization:
5 | 155 |
31 | 31 |
1 |
Prime factors of 155 are 5,31.
155 = 51×311
When comparing the prime factorization of these two numbers, look for the highest power to which each prime factor is raised. In this case, the following primary factors must be considered:151, 5,31
.51×311×1511 = 23405
This shows that the LCM of 151 and 155 is 23405.
The first step in determining the Least Common Multiple of 151 and 155 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 151 and 155:
Lets look at the first ten multiples of these numbers, 151 and 155:
151,302,453,604,755,906,1057,1208,1359,2567 are the first ten multiples of 151.
155,310,465,620,775,930,1085,1240,1395,2635 are the first ten multiples of 155.
You can continue to list the multiples of these numbers until you find a match. Once you have found a match, or several matches, the Least Common Multiple is the smallest of these matches. The first matching multiple(s) of 151 and 155, for example, are 1812, 2567, and 2480. 23405 is the least common multiple since it is the smallest.
151 and 155 have an LCM of 23405.
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 151 and 155, than apply into the LCM equation.
GCF(151,155) = 1
LCM(151,155) = ( 151 × 155) / 1
LCM(151,155) = 23405 / 1
LCM(151,155) = 23405
1. What is the LCM of 151 and 155?
The LCM of 151 and 155 is 23405.
2. How to find the lowest common multiple of 151 and 155?
To find the lowest common multiple of 151 and 155, we have to get the multip;es of both numbers and identify the least common multiple in them which is 23405.
3. What are the Factors of 151?
Answer: Factors of 151 are 1, 151. There are 2 integers that are factors of 151. The greatest factor of 151 is 151.
4. What are the Factors of 155?
Answer: Factors of 155 are 1, 5, 31, 155. There are 4 integers that are factors of 155. The greatest factor of 155 is 155.
5. How to Find the LCM of 151 and 155?Answer:
Least Common Multiple of 151 and 155 = 23405
Step 1: Find the prime factorization of 151
151 = 151
Step 2: Find the prime factorization of 155
155 = 5 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 23405 = 5 x 31 x 151
Step 4: Therefore, the least common multiple of 151 and 155 is 23405.