LCM of 116, 514, 403, 556, 975
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 116, 514, 403, 556, 975 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, 514, 403, 556, 975. So, keep reading to learn more.
Given numbers are 116,514,403,556,975
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 116,514,403,556,975 is 125248410300.
Find LCM of 116,514,403,556,975 with Prime Factorization
| 2 | 116, 514, 403, 556, 975 |
| 2 | 58, 257, 403, 278, 975 |
| 13 | 29, 257, 403, 139, 975 |
| 29, 257, 31, 139, 75 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 29 x 257 x 31 x 139 x 75 = 125248410300
Therefore, the lowest common multiple of 116,514,403,556,975 is 125248410300.
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 514 x 403 x 556 x 975 = 13025834671200
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
514 : 1, 2, 257, 514
403 : 1, 13, 31, 403
556 : 1, 2, 4, 139, 278, 556
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 116,514,403,556,975, is 1.
Now, the common factors can be found like this.
116:2x 2x 29
514:2x 257
403:13x 31
556:2x 2x 139
975:3x 5x 5x 13
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 2x 13 = 104
Therefore, the value for common factors is 104.
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 = 13025834671200/(1x104)
LCM = 13025834671200/104
LCM = 125248410300
Thus, we can understand that the LCM of 116,514,403,556,975 is 125248410300.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 116, 514, 403, 556, 975
1. What is the LCM of 116, 514, 403, 556, 975?
Answer: LCM of 116, 514, 403, 556, 975 is 125248410300.
2. How to calculate the LCM of 116, 514, 403, 556, 975?
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, 514, 403, 556, 975.
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}.