LCM of 910, 867, 985, 663, 463
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 910, 867, 985, 663, 463 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, 867, 985, 663, 463. So, keep reading to learn more.
Given numbers are 910,867,985,663,463
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 910,867,985,663,463 is 71962742670.
Find LCM of 910,867,985,663,463 with Prime Factorization
| 3 | 910, 867, 985, 663, 463 |
| 5 | 910, 289, 985, 221, 463 |
| 13 | 182, 289, 197, 221, 463 |
| 17 | 14, 289, 197, 17, 463 |
| 14, 1, 197, 17, 463 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 13 x 17 x 14 x 1 x 197 x 17 x 463 = 71962742670
Therefore, the lowest common multiple of 910,867,985,663,463 is 71962742670.
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 867 x 985 x 663 x 463 = 238556491951050
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
867 : 1, 3, 17, 51, 289, 867
985 : 1, 5, 197, 985
663 : 1, 3, 13, 17, 39, 51, 221, 663
463 : 1, 463
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,867,985,663,463, is 1.
Now, the common factors can be found like this.
910:2x 5x 7x 13
867:3x 17x 17
985:5x 197
663:3x 13x 17
463:463
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 13x 17 = 3315
Therefore, the value for common factors is 3315.
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 = 238556491951050/(1x3315)
LCM = 238556491951050/3315
LCM = 71962742670
Thus, we can understand that the LCM of 910,867,985,663,463 is 71962742670.
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FAQs on LCM of 910, 867, 985, 663, 463
1. What is the LCM of 910, 867, 985, 663, 463?
Answer: LCM of 910, 867, 985, 663, 463 is 71962742670.
2. How to calculate the LCM of 910, 867, 985, 663, 463?
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, 867, 985, 663, 463.
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}.