LCM of 415, 954, 954, 556, 716
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 415, 954, 954, 556, 716 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 415, 954, 954, 556, 716. So, keep reading to learn more.
Given numbers are 415,954,954,556,716
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 415,954,954,556,716 is 19701273420.
Find LCM of 415,954,954,556,716 with Prime Factorization
| 2 | 415, 954, 954, 556, 716 |
| 2 | 415, 477, 477, 278, 358 |
| 3 | 415, 477, 477, 139, 179 |
| 3 | 415, 159, 159, 139, 179 |
| 53 | 415, 53, 53, 139, 179 |
| 415, 1, 1, 139, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 53 x 415 x 1 x 1 x 139 x 179 = 19701273420
Therefore, the lowest common multiple of 415,954,954,556,716 is 19701273420.
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.
415 x 954 x 954 x 556 x 716 = 150360118741440
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.
415 : 1, 5, 83, 415
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
556 : 1, 2, 4, 139, 278, 556
716 : 1, 2, 4, 179, 358, 716
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 415,954,954,556,716, is 1.
Now, the common factors can be found like this.
415:5x 83
954:2x 3x 3x 53
954:2x 3x 3x 53
556:2x 2x 139
716:2x 2x 179
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 2x 3x 3x 53 = 7632
Therefore, the value for common factors is 7632.
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 = 150360118741440/(1x7632)
LCM = 150360118741440/7632
LCM = 19701273420
Thus, we can understand that the LCM of 415,954,954,556,716 is 19701273420.
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FAQs on LCM of 415, 954, 954, 556, 716
1. What is the LCM of 415, 954, 954, 556, 716?
Answer: LCM of 415, 954, 954, 556, 716 is 19701273420.
2. How to calculate the LCM of 415, 954, 954, 556, 716?
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 415, 954, 954, 556, 716.
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}.