LCM of 116, 229, 404, 507, 946
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 116, 229, 404, 507, 946 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 116, 229, 404, 507, 946. So, keep reading to learn more.
Given numbers are 116,229,404,507,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 116,229,404,507,946 is 643404279804.
Find LCM of 116,229,404,507,946 with Prime Factorization
| 2 | 116, 229, 404, 507, 946 |
| 2 | 58, 229, 202, 507, 473 |
| 29, 229, 101, 507, 473 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 29 x 229 x 101 x 507 x 473 = 643404279804
Therefore, the lowest common multiple of 116,229,404,507,946 is 643404279804.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
116 x 229 x 404 x 507 x 946 = 5147234238432
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
116 : 1, 2, 4, 29, 58, 116
229 : 1, 229
404 : 1, 2, 4, 101, 202, 404
507 : 1, 3, 13, 39, 169, 507
946 : 1, 2, 11, 22, 43, 86, 473, 946
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 116,229,404,507,946, is 1.
Now, the common factors can be found like this.
116:2x 2x 29
229:229
404:2x 2x 101
507:3x 13x 13
946:2x 11x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2 = 8
Therefore, the value for common factors is 8.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 5147234238432/(1x8)
LCM = 5147234238432/8
LCM = 643404279804
Thus, we can understand that the LCM of 116,229,404,507,946 is 643404279804.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 116, 229, 404, 507, 946
1. What is the LCM of 116, 229, 404, 507, 946?
Answer: LCM of 116, 229, 404, 507, 946 is 643404279804.
2. How to calculate the LCM of 116, 229, 404, 507, 946?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 116, 229, 404, 507, 946.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.