LCM of 294 and 298
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 294 and 298 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 43806 as output. Here you can check the answer for Find the LCM of 294 and 298.
What is LCM of 294 and 298
Given Numbers are 294, 298
We can find the LCM of 294, 298 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 294 and 298
Multiples of 294 =294,588,882,1176,1470,1764,2058,2352,2646,2940,3234,3528,3822,4116,4410,4704,4998,
Multiples of 298 =298,596,894,1192,1490,1788,2086,2384,2682,2980,3278,3576,3874,4172,4470,4768,5066,
Now, get the least common multiple of 294, 298 which is 43806
So, the LCM of 294, 298 is 43806.
Least Common Multiple (LCM) of 294 and 298 with the help of Prime Factorisation
One method for determining the LCM of 294 and 298 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 294's prime factorization:
| 2 | 294 |
| 3 | 147 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 294 are 2, 3,7.
294 = 21×31×72
And this is 298's prime factorization:
| 2 | 298 |
| 149 | 149 |
| 1 |
Prime factors of 298 are 2,149.
298 = 21×1491
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, 3,7,149
.21×31×72×1491 = 43806
This shows that the LCM of 294 and 298 is 43806.
How to Calculate the LCM of 294 and 298 Using Common Multiples
The first step in determining the Least Common Multiple of 294 and 298 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 294 and 298:
Lets look at the first ten multiples of these numbers, 294 and 298:
294,588,882,1176,1470,1764,2058,2352,2646,4998 are the first ten multiples of 294.
298,596,894,1192,1490,1788,2086,2384,2682,5066 are the first ten multiples of 298.
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 294 and 298, for example, are 3528, 4998, and 4768. 43806 is the least common multiple since it is the smallest.
294 and 298 have an LCM of 43806.
Least Common Multiple of 294 and 298 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 294 and 298, than apply into the LCM equation.
GCF(294,298) = 2
LCM(294,298) = ( 294 × 298) / 2
LCM(294,298) = 87612 / 2
LCM(294,298) = 43806
Related Least Common Multiples of 294
Related Least Common Multiples of 298
Frequently Asked Questions on LCM of 294 and 298
1. What is the LCM of 294 and 298?
The LCM of 294 and 298 is 43806.
2. How to find the lowest common multiple of 294 and 298?
To find the lowest common multiple of 294 and 298, we have to get the multip;es of both numbers and identify the least common multiple in them which is 43806.
3. What are the Factors of 294?
Answer: Factors of 294 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294. There are 12 integers that are factors of 294. The greatest factor of 294 is 294.
4. What are the Factors of 298?
Answer: Factors of 298 are 1, 2, 149, 298. There are 4 integers that are factors of 298. The greatest factor of 298 is 298.
5. How to Find the LCM of 294 and 298?Answer:
Least Common Multiple of 294 and 298 = 43806
Step 1: Find the prime factorization of 294
294 = 2 x 3 x 7 x 7
Step 2: Find the prime factorization of 298
298 = 2 x 149
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 43806 = 2 x 3 x 7 x 7 x 149
Step 4: Therefore, the least common multiple of 294 and 298 is 43806.