LCM of 681, 638, 406, 710, 990
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 681, 638, 406, 710, 990 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 681, 638, 406, 710, 990. So, keep reading to learn more.
Given numbers are 681,638,406,710,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 681,638,406,710,990 is 3239033490.
Find LCM of 681,638,406,710,990 with Prime Factorization
| 2 | 681, 638, 406, 710, 990 |
| 3 | 681, 319, 203, 355, 495 |
| 5 | 227, 319, 203, 355, 165 |
| 11 | 227, 319, 203, 71, 33 |
| 29 | 227, 29, 203, 71, 3 |
| 227, 1, 7, 71, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 29 x 227 x 1 x 7 x 71 x 3 = 3239033490
Therefore, the lowest common multiple of 681,638,406,710,990 is 3239033490.
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.
681 x 638 x 406 x 710 x 990 = 123990201997200
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.
681 : 1, 3, 227, 681
638 : 1, 2, 11, 22, 29, 58, 319, 638
406 : 1, 2, 7, 14, 29, 58, 203, 406
710 : 1, 2, 5, 10, 71, 142, 355, 710
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 681,638,406,710,990, is 1.
Now, the common factors can be found like this.
681:3x 227
638:2x 11x 29
406:2x 7x 29
710:2x 5x 71
990:2x 3x 3x 5x 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 3x 5x 11x 29 = 38280
Therefore, the value for common factors is 38280.
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 = 123990201997200/(1x38280)
LCM = 123990201997200/38280
LCM = 3239033490
Thus, we can understand that the LCM of 681,638,406,710,990 is 3239033490.
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FAQs on LCM of 681, 638, 406, 710, 990
1. What is the LCM of 681, 638, 406, 710, 990?
Answer: LCM of 681, 638, 406, 710, 990 is 3239033490.
2. How to calculate the LCM of 681, 638, 406, 710, 990?
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 681, 638, 406, 710, 990.
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}.