LCM of 910, 671, 462, 694, 247
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 910, 671, 462, 694, 247 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, 671, 462, 694, 247. So, keep reading to learn more.
Given numbers are 910,671,462,694,247
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 910,671,462,694,247 is 12077255190.
Find LCM of 910,671,462,694,247 with Prime Factorization
| 2 | 910, 671, 462, 694, 247 |
| 7 | 455, 671, 231, 347, 247 |
| 11 | 65, 671, 33, 347, 247 |
| 13 | 65, 61, 3, 347, 247 |
| 5, 61, 3, 347, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 13 x 5 x 61 x 3 x 347 x 19 = 12077255190
Therefore, the lowest common multiple of 910,671,462,694,247 is 12077255190.
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 671 x 462 x 694 x 247 = 48357329780760
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
671 : 1, 11, 61, 671
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
694 : 1, 2, 347, 694
247 : 1, 13, 19, 247
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,671,462,694,247, is 1.
Now, the common factors can be found like this.
910:2x 5x 7x 13
671:11x 61
462:2x 3x 7x 11
694:2x 347
247:13x 19
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 7x 11x 13 = 4004
Therefore, the value for common factors is 4004.
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 = 48357329780760/(1x4004)
LCM = 48357329780760/4004
LCM = 12077255190
Thus, we can understand that the LCM of 910,671,462,694,247 is 12077255190.
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FAQs on LCM of 910, 671, 462, 694, 247
1. What is the LCM of 910, 671, 462, 694, 247?
Answer: LCM of 910, 671, 462, 694, 247 is 12077255190.
2. How to calculate the LCM of 910, 671, 462, 694, 247?
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, 671, 462, 694, 247.
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}.