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LCM of 151 and 155

Created By : Bhagya
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


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.

 

LCM of:
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What is 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.

Least Common Multiple (LCM) of 151 and 155 with the help of Prime Factorisation

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.

How to Calculate the LCM of 151 and 155 Using Common Multiples

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.

Least Common Multiple of 151 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 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

Frequently Asked Questions on LCM of 151 and 155

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.