LCM of 910, 819, 273, 402, 639
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 910, 819, 273, 402, 639 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, 819, 273, 402, 639. So, keep reading to learn more.
Given numbers are 910,819,273,402,639
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 910,819,273,402,639 is 38959830.
Find LCM of 910,819,273,402,639 with Prime Factorization
| 2 | 910, 819, 273, 402, 639 |
| 3 | 455, 819, 273, 201, 639 |
| 3 | 455, 91, 273, 67, 213 |
| 7 | 455, 91, 91, 67, 71 |
| 13 | 65, 13, 13, 67, 71 |
| 5, 1, 1, 67, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 13 x 5 x 1 x 1 x 67 x 71 = 38959830
Therefore, the lowest common multiple of 910,819,273,402,639 is 38959830.
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 819 x 273 x 402 x 639 = 52265469061260
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
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
273 : 1, 3, 7, 13, 21, 39, 91, 273
402 : 1, 2, 3, 6, 67, 134, 201, 402
639 : 1, 3, 9, 71, 213, 639
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,819,273,402,639, is 1.
Now, the common factors can be found like this.
910:2x 5x 7x 13
819:3x 3x 7x 13
273:3x 7x 13
402:2x 3x 67
639:3x 3x 71
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 3x 3x 3x 7x 7x 13x 13 = 1341522
Therefore, the value for common factors is 1341522.
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 = 52265469061260/(1x1341522)
LCM = 52265469061260/1341522
LCM = 38959830
Thus, we can understand that the LCM of 910,819,273,402,639 is 38959830.
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FAQs on LCM of 910, 819, 273, 402, 639
1. What is the LCM of 910, 819, 273, 402, 639?
Answer: LCM of 910, 819, 273, 402, 639 is 38959830.
2. How to calculate the LCM of 910, 819, 273, 402, 639?
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, 819, 273, 402, 639.
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}.