LCM of 302, 781, 722, 704, 784
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 302, 781, 722, 704, 784 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 302, 781, 722, 704, 784. So, keep reading to learn more.
Given numbers are 302,781,722,704,784
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 302,781,722,704,784 is 133509213376.
Find LCM of 302,781,722,704,784 with Prime Factorization
| 2 | 302, 781, 722, 704, 784 |
| 2 | 151, 781, 361, 352, 392 |
| 2 | 151, 781, 361, 176, 196 |
| 2 | 151, 781, 361, 88, 98 |
| 11 | 151, 781, 361, 44, 49 |
| 151, 71, 361, 4, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 11 x 151 x 71 x 361 x 4 x 49 = 133509213376
Therefore, the lowest common multiple of 302,781,722,704,784 is 133509213376.
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.
302 x 781 x 722 x 704 x 784 = 93990486216704
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.
302 : 1, 2, 151, 302
781 : 1, 11, 71, 781
722 : 1, 2, 19, 38, 361, 722
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,781,722,704,784, is 1.
Now, the common factors can be found like this.
302:2x 151
781:11x 71
722:2x 19x 19
704:2x 2x 2x 2x 2x 2x 11
784:2x 2x 2x 2x 7x 7
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 11 = 704
Therefore, the value for common factors is 704.
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 = 93990486216704/(1x704)
LCM = 93990486216704/704
LCM = 133509213376
Thus, we can understand that the LCM of 302,781,722,704,784 is 133509213376.
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FAQs on LCM of 302, 781, 722, 704, 784
1. What is the LCM of 302, 781, 722, 704, 784?
Answer: LCM of 302, 781, 722, 704, 784 is 133509213376.
2. How to calculate the LCM of 302, 781, 722, 704, 784?
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 302, 781, 722, 704, 784.
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}.