LCM of 717, 724, 836, 714, 462
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 717, 724, 836, 714, 462 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 717, 724, 836, 714, 462. So, keep reading to learn more.
Given numbers are 717,724,836,714,462
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 717,724,836,714,462 is 12910735068.
Find LCM of 717,724,836,714,462 with Prime Factorization
| 2 | 717, 724, 836, 714, 462 |
| 2 | 717, 362, 418, 357, 231 |
| 3 | 717, 181, 209, 357, 231 |
| 7 | 239, 181, 209, 119, 77 |
| 11 | 239, 181, 209, 17, 11 |
| 239, 181, 19, 17, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 239 x 181 x 19 x 17 x 1 = 12910735068
Therefore, the lowest common multiple of 717,724,836,714,462 is 12910735068.
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.
717 x 724 x 836 x 714 x 462 = 143154230433984
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.
717 : 1, 3, 239, 717
724 : 1, 2, 4, 181, 362, 724
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,724,836,714,462, is 1.
Now, the common factors can be found like this.
717:3x 239
724:2x 2x 181
836:2x 2x 11x 19
714:2x 3x 7x 17
462:2x 3x 7x 11
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 7x 11 = 11088
Therefore, the value for common factors is 11088.
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 = 143154230433984/(1x11088)
LCM = 143154230433984/11088
LCM = 12910735068
Thus, we can understand that the LCM of 717,724,836,714,462 is 12910735068.
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FAQs on LCM of 717, 724, 836, 714, 462
1. What is the LCM of 717, 724, 836, 714, 462?
Answer: LCM of 717, 724, 836, 714, 462 is 12910735068.
2. How to calculate the LCM of 717, 724, 836, 714, 462?
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 717, 724, 836, 714, 462.
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}.