LCM of 782, 539, 704, 214, 272
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 782, 539, 704, 214, 272 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 782, 539, 704, 214, 272. So, keep reading to learn more.
Given numbers are 782,539,704,214,272
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,539,704,214,272 is 1443209152.
Find LCM of 782,539,704,214,272 with Prime Factorization
| 2 | 782, 539, 704, 214, 272 |
| 2 | 391, 539, 352, 107, 136 |
| 2 | 391, 539, 176, 107, 68 |
| 2 | 391, 539, 88, 107, 34 |
| 11 | 391, 539, 44, 107, 17 |
| 17 | 391, 49, 4, 107, 17 |
| 23, 49, 4, 107, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 11 x 17 x 23 x 49 x 4 x 107 x 1 = 1443209152
Therefore, the lowest common multiple of 782,539,704,214,272 is 1443209152.
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.
782 x 539 x 704 x 214 x 272 = 17272327131136
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.
782 : 1, 2, 17, 23, 34, 46, 391, 782
539 : 1, 7, 11, 49, 77, 539
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
214 : 1, 2, 107, 214
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,539,704,214,272, is 1.
Now, the common factors can be found like this.
782:2x 17x 23
539:7x 7x 11
704:2x 2x 2x 2x 2x 2x 11
214:2x 107
272:2x 2x 2x 2x 17
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 11x 17 = 11968
Therefore, the value for common factors is 11968.
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 = 17272327131136/(1x11968)
LCM = 17272327131136/11968
LCM = 1443209152
Thus, we can understand that the LCM of 782,539,704,214,272 is 1443209152.
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FAQs on LCM of 782, 539, 704, 214, 272
1. What is the LCM of 782, 539, 704, 214, 272?
Answer: LCM of 782, 539, 704, 214, 272 is 1443209152.
2. How to calculate the LCM of 782, 539, 704, 214, 272?
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 782, 539, 704, 214, 272.
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}.