LCM of 910, 563, 689, 960, 657
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 910, 563, 689, 960, 657 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 910, 563, 689, 960, 657. So, keep reading to learn more.
Given numbers are 910,563,689,960,657
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 910,563,689,960,657 is 570874973760.
Find LCM of 910,563,689,960,657 with Prime Factorization
| 2 | 910, 563, 689, 960, 657 |
| 3 | 455, 563, 689, 480, 657 |
| 5 | 455, 563, 689, 160, 219 |
| 13 | 91, 563, 689, 32, 219 |
| 7, 563, 53, 32, 219 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 7 x 563 x 53 x 32 x 219 = 570874973760
Therefore, the lowest common multiple of 910,563,689,960,657 is 570874973760.
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.
910 x 563 x 689 x 960 x 657 = 222641239766400
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.
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
563 : 1, 563
689 : 1, 13, 53, 689
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
657 : 1, 3, 9, 73, 219, 657
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,563,689,960,657, is 1.
Now, the common factors can be found like this.
910:2x 5x 7x 13
563:563
689:13x 53
960:2x 2x 2x 2x 2x 2x 3x 5
657:3x 3x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 13 = 390
Therefore, the value for common factors is 390.
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 = 222641239766400/(1x390)
LCM = 222641239766400/390
LCM = 570874973760
Thus, we can understand that the LCM of 910,563,689,960,657 is 570874973760.
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FAQs on LCM of 910, 563, 689, 960, 657
1. What is the LCM of 910, 563, 689, 960, 657?
Answer: LCM of 910, 563, 689, 960, 657 is 570874973760.
2. How to calculate the LCM of 910, 563, 689, 960, 657?
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 910, 563, 689, 960, 657.
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}.