LCM of 487, 693, 470, 280, 714
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 487, 693, 470, 280, 714 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 487, 693, 470, 280, 714. So, keep reading to learn more.
Given numbers are 487,693,470,280,714
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 487,693,470,280,714 is 10786212360.
Find LCM of 487,693,470,280,714 with Prime Factorization
| 2 | 487, 693, 470, 280, 714 |
| 3 | 487, 693, 235, 140, 357 |
| 5 | 487, 231, 235, 140, 119 |
| 7 | 487, 231, 47, 28, 119 |
| 487, 33, 47, 4, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 487 x 33 x 47 x 4 x 17 = 10786212360
Therefore, the lowest common multiple of 487,693,470,280,714 is 10786212360.
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.
487 x 693 x 470 x 280 x 714 = 31711464338400
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.
487 : 1, 487
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
470 : 1, 2, 5, 10, 47, 94, 235, 470
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,693,470,280,714, is 1.
Now, the common factors can be found like this.
487:487
693:3x 3x 7x 11
470:2x 5x 47
280:2x 2x 2x 5x 7
714:2x 3x 7x 17
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 3x 5x 7x 7 = 2940
Therefore, the value for common factors is 2940.
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 = 31711464338400/(1x2940)
LCM = 31711464338400/2940
LCM = 10786212360
Thus, we can understand that the LCM of 487,693,470,280,714 is 10786212360.
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FAQs on LCM of 487, 693, 470, 280, 714
1. What is the LCM of 487, 693, 470, 280, 714?
Answer: LCM of 487, 693, 470, 280, 714 is 10786212360.
2. How to calculate the LCM of 487, 693, 470, 280, 714?
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 487, 693, 470, 280, 714.
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}.