LCM of 286 and 294
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 286 and 294 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 42042 as output. Here you can check the answer for Find the LCM of 286 and 294.
What is LCM of 286 and 294
Given Numbers are 286, 294
We can find the LCM of 286, 294 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 286 and 294
Multiples of 286 =286,572,858,1144,1430,1716,2002,2288,2574,2860,3146,3432,3718,4004,4290,4576,4862,
Multiples of 294 =294,588,882,1176,1470,1764,2058,2352,2646,2940,3234,3528,3822,4116,4410,4704,4998,
Now, get the least common multiple of 286, 294 which is 42042
So, the LCM of 286, 294 is 42042.
Least Common Multiple (LCM) of 286 and 294 with the help of Prime Factorisation
One method for determining the LCM of 286 and 294 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 286's prime factorization:
| 2 | 286 |
| 11 | 143 |
| 13 | 13 |
| 1 |
Prime factors of 286 are 2, 11,13.
286 = 21×111×131
And this 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
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, 11,13, 3,7
.21×31×72×111×131 = 42042
This shows that the LCM of 286 and 294 is 42042.
How to Calculate the LCM of 286 and 294 Using Common Multiples
The first step in determining the Least Common Multiple of 286 and 294 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 286 and 294:
Lets look at the first ten multiples of these numbers, 286 and 294:
286,572,858,1144,1430,1716,2002,2288,2574,4862 are the first ten multiples of 286.
294,588,882,1176,1470,1764,2058,2352,2646,4998 are the first ten multiples of 294.
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 286 and 294, for example, are 3432, 4862, and 4704. 42042 is the least common multiple since it is the smallest.
286 and 294 have an LCM of 42042.
Least Common Multiple of 286 and 294 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 286 and 294, than apply into the LCM equation.
GCF(286,294) = 2
LCM(286,294) = ( 286 × 294) / 2
LCM(286,294) = 84084 / 2
LCM(286,294) = 42042
Related Least Common Multiples of 286
Related Least Common Multiples of 294
Frequently Asked Questions on LCM of 286 and 294
1. What is the LCM of 286 and 294?
The LCM of 286 and 294 is 42042.
2. How to find the lowest common multiple of 286 and 294?
To find the lowest common multiple of 286 and 294, we have to get the multip;es of both numbers and identify the least common multiple in them which is 42042.
3. What are the Factors of 286?
Answer: Factors of 286 are 1, 2, 11, 13, 22, 26, 143, 286. There are 8 integers that are factors of 286. The greatest factor of 286 is 286.
4. 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.
5. How to Find the LCM of 286 and 294?Answer:
Least Common Multiple of 286 and 294 = 42042
Step 1: Find the prime factorization of 286
286 = 2 x 11 x 13
Step 2: Find the prime factorization of 294
294 = 2 x 3 x 7 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 42042 = 2 x 3 x 7 x 7 x 11 x 13
Step 4: Therefore, the least common multiple of 286 and 294 is 42042.