LCM of 463, 783, 639, 319
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 463, 783, 639, 319 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 463, 783, 639, 319. So, keep reading to learn more.
Given numbers are 463,783,639,319
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 463,783,639,319 is 283135149.
Find LCM of 463,783,639,319 with Prime Factorization
| 3 | 463, 783, 639, 319 |
| 3 | 463, 261, 213, 319 |
| 29 | 463, 87, 71, 319 |
| 463, 3, 71, 11 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 29 x 463 x 3 x 71 x 11 = 283135149
Therefore, the lowest common multiple of 463,783,639,319 is 283135149.
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.
463 x 783 x 639 x 319 = 73898273889
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.
463 : 1, 463
783 : 1, 3, 9, 27, 29, 87, 261, 783
639 : 1, 3, 9, 71, 213, 639
319 : 1, 11, 29, 319
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,783,639,319, is 1.
Now, the common factors can be found like this.
463:463
783:3x 3x 3x 29
639:3x 3x 71
319:11x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 29 = 261
Therefore, the value for common factors is 261.
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 = 73898273889/(1x261)
LCM = 73898273889/261
LCM = 283135149
Thus, we can understand that the LCM of 463,783,639,319 is 283135149.
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FAQs on LCM of 463, 783, 639, 319
1. What is the LCM of 463, 783, 639, 319?
Answer: LCM of 463, 783, 639, 319 is 283135149.
2. How to calculate the LCM of 463, 783, 639, 319?
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 463, 783, 639, 319.
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}.