LCM of 418, 560, 722, 993, 400
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 418, 560, 722, 993, 400 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 418, 560, 722, 993, 400. So, keep reading to learn more.
Given numbers are 418,560,722,993,400
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,560,722,993,400 is 11040968400.
Find LCM of 418,560,722,993,400 with Prime Factorization
| 2 | 418, 560, 722, 993, 400 |
| 2 | 209, 280, 361, 993, 200 |
| 2 | 209, 140, 361, 993, 100 |
| 2 | 209, 70, 361, 993, 50 |
| 5 | 209, 35, 361, 993, 25 |
| 19 | 209, 7, 361, 993, 5 |
| 11, 7, 19, 993, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 19 x 11 x 7 x 19 x 993 x 5 = 11040968400
Therefore, the lowest common multiple of 418,560,722,993,400 is 11040968400.
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.
418 x 560 x 722 x 993 x 400 = 67129087872000
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.
418 : 1, 2, 11, 19, 22, 38, 209, 418
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
722 : 1, 2, 19, 38, 361, 722
993 : 1, 3, 331, 993
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,560,722,993,400, is 1.
Now, the common factors can be found like this.
418:2x 11x 19
560:2x 2x 2x 2x 5x 7
722:2x 19x 19
993:3x 331
400:2x 2x 2x 2x 5x 5
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 2x 2x 5x 19 = 6080
Therefore, the value for common factors is 6080.
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 = 67129087872000/(1x6080)
LCM = 67129087872000/6080
LCM = 11040968400
Thus, we can understand that the LCM of 418,560,722,993,400 is 11040968400.
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FAQs on LCM of 418, 560, 722, 993, 400
1. What is the LCM of 418, 560, 722, 993, 400?
Answer: LCM of 418, 560, 722, 993, 400 is 11040968400.
2. How to calculate the LCM of 418, 560, 722, 993, 400?
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 418, 560, 722, 993, 400.
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}.