LCM of 830, 319, 538, 432, 464
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 830, 319, 538, 432, 464 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 830, 319, 538, 432, 464. So, keep reading to learn more.
Given numbers are 830,319,538,432,464
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 830,319,538,432,464 is 15384196080.
Find LCM of 830,319,538,432,464 with Prime Factorization
| 2 | 830, 319, 538, 432, 464 |
| 2 | 415, 319, 269, 216, 232 |
| 2 | 415, 319, 269, 108, 116 |
| 2 | 415, 319, 269, 54, 58 |
| 29 | 415, 319, 269, 27, 29 |
| 415, 11, 269, 27, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 29 x 415 x 11 x 269 x 27 x 1 = 15384196080
Therefore, the lowest common multiple of 830,319,538,432,464 is 15384196080.
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.
830 x 319 x 538 x 432 x 464 = 28553067924480
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.
830 : 1, 2, 5, 10, 83, 166, 415, 830
319 : 1, 11, 29, 319
538 : 1, 2, 269, 538
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 830,319,538,432,464, is 1.
Now, the common factors can be found like this.
830:2x 5x 83
319:11x 29
538:2x 269
432:2x 2x 2x 2x 3x 3x 3
464:2x 2x 2x 2x 29
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 2x 2x 2x 2x 29 = 1856
Therefore, the value for common factors is 1856.
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 = 28553067924480/(1x1856)
LCM = 28553067924480/1856
LCM = 15384196080
Thus, we can understand that the LCM of 830,319,538,432,464 is 15384196080.
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FAQs on LCM of 830, 319, 538, 432, 464
1. What is the LCM of 830, 319, 538, 432, 464?
Answer: LCM of 830, 319, 538, 432, 464 is 15384196080.
2. How to calculate the LCM of 830, 319, 538, 432, 464?
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 830, 319, 538, 432, 464.
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}.