LCM of 110, 517, 714, 220, 400
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 110, 517, 714, 220, 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 110, 517, 714, 220, 400. So, keep reading to learn more.
Given numbers are 110,517,714,220,400
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 110,517,714,220,400 is 73827600.
Find LCM of 110,517,714,220,400 with Prime Factorization
| 2 | 110, 517, 714, 220, 400 |
| 2 | 55, 517, 357, 110, 200 |
| 5 | 55, 517, 357, 55, 100 |
| 11 | 11, 517, 357, 11, 20 |
| 1, 47, 357, 1, 20 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 1 x 47 x 357 x 1 x 20 = 73827600
Therefore, the lowest common multiple of 110,517,714,220,400 is 73827600.
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.
110 x 517 x 714 x 220 x 400 = 3573255840000
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.
110 : 1, 2, 5, 10, 11, 22, 55, 110
517 : 1, 11, 47, 517
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
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 110,517,714,220,400, is 1.
Now, the common factors can be found like this.
110:2x 5x 11
517:11x 47
714:2x 3x 7x 17
220:2x 2x 5x 11
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 5x 5x 11x 11 = 48400
Therefore, the value for common factors is 48400.
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 = 3573255840000/(1x48400)
LCM = 3573255840000/48400
LCM = 73827600
Thus, we can understand that the LCM of 110,517,714,220,400 is 73827600.
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FAQs on LCM of 110, 517, 714, 220, 400
1. What is the LCM of 110, 517, 714, 220, 400?
Answer: LCM of 110, 517, 714, 220, 400 is 73827600.
2. How to calculate the LCM of 110, 517, 714, 220, 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 110, 517, 714, 220, 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}.