LCM of 784, 338, 723, 168, 364
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 784, 338, 723, 168, 364 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 784, 338, 723, 168, 364. So, keep reading to learn more.
Given numbers are 784,338,723,168,364
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 784,338,723,168,364 is 95794608.
Find LCM of 784,338,723,168,364 with Prime Factorization
| 2 | 784, 338, 723, 168, 364 |
| 2 | 392, 169, 723, 84, 182 |
| 2 | 196, 169, 723, 42, 91 |
| 3 | 98, 169, 723, 21, 91 |
| 7 | 98, 169, 241, 7, 91 |
| 13 | 14, 169, 241, 1, 13 |
| 14, 1, 241, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 13 x 14 x 1 x 241 x 1 x 13 = 95794608
Therefore, the lowest common multiple of 784,338,723,168,364 is 95794608.
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.
784 x 338 x 723 x 168 x 364 = 11716063736832
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.
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
338 : 1, 2, 13, 26, 169, 338
723 : 1, 3, 241, 723
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 784,338,723,168,364, is 1.
Now, the common factors can be found like this.
784:2x 2x 2x 2x 7x 7
338:2x 13x 13
723:3x 241
168:2x 2x 2x 3x 7
364:2x 2x 7x 13
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 3x 7x 7x 13 = 122304
Therefore, the value for common factors is 122304.
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 = 11716063736832/(1x122304)
LCM = 11716063736832/122304
LCM = 95794608
Thus, we can understand that the LCM of 784,338,723,168,364 is 95794608.
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FAQs on LCM of 784, 338, 723, 168, 364
1. What is the LCM of 784, 338, 723, 168, 364?
Answer: LCM of 784, 338, 723, 168, 364 is 95794608.
2. How to calculate the LCM of 784, 338, 723, 168, 364?
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 784, 338, 723, 168, 364.
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}.