LCM of 148 and 155
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 148 and 155 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 22940 as output. Here you can check the answer for Find the LCM of 148 and 155.
What is LCM of 148 and 155
Given Numbers are 148, 155
We can find the LCM of 148, 155 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 148 and 155
Multiples of 148 =148,296,444,592,740,888,1036,1184,1332,1480,1628,1776,1924,2072,2220,2368,2516,
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 148, 155 which is 22940
So, the LCM of 148, 155 is 22940.
Least Common Multiple (LCM) of 148 and 155 with the help of Prime Factorisation
One method for determining the LCM of 148 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 148's prime factorization:
| 2 | 148 |
| 2 | 74 |
| 37 | 37 |
| 1 |
Prime factors of 148 are 2,37.
148 = 22×371
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: 2,37, 5,31
.22×51×311×371 = 22940
This shows that the LCM of 148 and 155 is 22940.
How to Calculate the LCM of 148 and 155 Using Common Multiples
The first step in determining the Least Common Multiple of 148 and 155 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 148 and 155:
Lets look at the first ten multiples of these numbers, 148 and 155:
148,296,444,592,740,888,1036,1184,1332,2516 are the first ten multiples of 148.
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 148 and 155, for example, are 1776, 2516, and 2480. 22940 is the least common multiple since it is the smallest.
148 and 155 have an LCM of 22940.
Least Common Multiple of 148 and 155 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 148 and 155, than apply into the LCM equation.
GCF(148,155) = 1
LCM(148,155) = ( 148 × 155) / 1
LCM(148,155) = 22940 / 1
LCM(148,155) = 22940
Related Least Common Multiples of 148
Related Least Common Multiples of 155
Frequently Asked Questions on LCM of 148 and 155
1. What is the LCM of 148 and 155?
The LCM of 148 and 155 is 22940.
2. How to find the lowest common multiple of 148 and 155?
To find the lowest common multiple of 148 and 155, we have to get the multip;es of both numbers and identify the least common multiple in them which is 22940.
3. What are the Factors of 148?
Answer: Factors of 148 are 1, 2, 4, 37, 74, 148. There are 6 integers that are factors of 148. The greatest factor of 148 is 148.
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 148 and 155?Answer:
Least Common Multiple of 148 and 155 = 22940
Step 1: Find the prime factorization of 148
148 = 2 x 2 x 37
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 = 22940 = 2 x 2 x 5 x 31 x 37
Step 4: Therefore, the least common multiple of 148 and 155 is 22940.