LCM of 379, 693, 527, 876, 462
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 379, 693, 527, 876, 462 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 379, 693, 527, 876, 462. So, keep reading to learn more.
Given numbers are 379,693,527,876,462
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 379,693,527,876,462 is 40417170948.
Find LCM of 379,693,527,876,462 with Prime Factorization
| 2 | 379, 693, 527, 876, 462 |
| 3 | 379, 693, 527, 438, 231 |
| 7 | 379, 77, 527, 146, 231 |
| 11 | 379, 11, 527, 146, 33 |
| 379, 1, 527, 146, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 379 x 1 x 527 x 146 x 3 = 40417170948
Therefore, the lowest common multiple of 379,693,527,876,462 is 40417170948.
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.
379 x 693 x 527 x 876 x 462 = 56018198933928
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.
379 : 1, 379
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
527 : 1, 17, 31, 527
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,693,527,876,462, is 1.
Now, the common factors can be found like this.
379:379
693:3x 3x 7x 11
527:17x 31
876:2x 2x 3x 73
462:2x 3x 7x 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 3x 3x 7x 11 = 1386
Therefore, the value for common factors is 1386.
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 = 56018198933928/(1x1386)
LCM = 56018198933928/1386
LCM = 40417170948
Thus, we can understand that the LCM of 379,693,527,876,462 is 40417170948.
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FAQs on LCM of 379, 693, 527, 876, 462
1. What is the LCM of 379, 693, 527, 876, 462?
Answer: LCM of 379, 693, 527, 876, 462 is 40417170948.
2. How to calculate the LCM of 379, 693, 527, 876, 462?
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 379, 693, 527, 876, 462.
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}.