LCM of 292 and 299
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 292 and 299 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 87308 as output. Here you can check the answer for Find the LCM of 292 and 299.
What is LCM of 292 and 299
Given Numbers are 292, 299
We can find the LCM of 292, 299 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 292 and 299
Multiples of 292 =292,584,876,1168,1460,1752,2044,2336,2628,2920,3212,3504,3796,4088,4380,4672,4964,
Multiples of 299 =299,598,897,1196,1495,1794,2093,2392,2691,2990,3289,3588,3887,4186,4485,4784,5083,
Now, get the least common multiple of 292, 299 which is 87308
So, the LCM of 292, 299 is 87308.
Least Common Multiple (LCM) of 292 and 299 with the help of Prime Factorisation
One method for determining the LCM of 292 and 299 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 292's prime factorization:
| 2 | 292 |
| 2 | 146 |
| 73 | 73 |
| 1 |
Prime factors of 292 are 2,73.
292 = 22×731
And this is 299's prime factorization:
| 13 | 299 |
| 23 | 23 |
| 1 |
Prime factors of 299 are 13,23.
299 = 131×231
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: 2,73, 13,23
.22×131×231×731 = 87308
This shows that the LCM of 292 and 299 is 87308.
How to Calculate the LCM of 292 and 299 Using Common Multiples
The first step in determining the Least Common Multiple of 292 and 299 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 292 and 299:
Lets look at the first ten multiples of these numbers, 292 and 299:
292,584,876,1168,1460,1752,2044,2336,2628,4964 are the first ten multiples of 292.
299,598,897,1196,1495,1794,2093,2392,2691,5083 are the first ten multiples of 299.
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 292 and 299, for example, are 3504, 4964, and 4784. 87308 is the least common multiple since it is the smallest.
292 and 299 have an LCM of 87308.
Least Common Multiple of 292 and 299 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 292 and 299, than apply into the LCM equation.
GCF(292,299) = 1
LCM(292,299) = ( 292 × 299) / 1
LCM(292,299) = 87308 / 1
LCM(292,299) = 87308
Related Least Common Multiples of 292
Related Least Common Multiples of 299
Frequently Asked Questions on LCM of 292 and 299
1. What is the LCM of 292 and 299?
The LCM of 292 and 299 is 87308.
2. How to find the lowest common multiple of 292 and 299?
To find the lowest common multiple of 292 and 299, we have to get the multip;es of both numbers and identify the least common multiple in them which is 87308.
3. What are the Factors of 292?
Answer: Factors of 292 are 1, 2, 4, 73, 146, 292. There are 6 integers that are factors of 292. The greatest factor of 292 is 292.
4. What are the Factors of 299?
Answer: Factors of 299 are 1, 13, 23, 299. There are 4 integers that are factors of 299. The greatest factor of 299 is 299.
5. How to Find the LCM of 292 and 299?Answer:
Least Common Multiple of 292 and 299 = 87308
Step 1: Find the prime factorization of 292
292 = 2 x 2 x 73
Step 2: Find the prime factorization of 299
299 = 13 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 = 87308 = 2 x 2 x 13 x 23 x 73
Step 4: Therefore, the least common multiple of 292 and 299 is 87308.