LCM of 784, 702, 408, 155
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 784, 702, 408, 155 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, 702, 408, 155. So, keep reading to learn more.
Given numbers are 784,702,408,155
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 784,702,408,155 is 725109840.
Find LCM of 784,702,408,155 with Prime Factorization
| 2 | 784, 702, 408, 155 |
| 2 | 392, 351, 204, 155 |
| 2 | 196, 351, 102, 155 |
| 3 | 98, 351, 51, 155 |
| 98, 117, 17, 155 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 98 x 117 x 17 x 155 = 725109840
Therefore, the lowest common multiple of 784,702,408,155 is 725109840.
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 702 x 408 x 155 = 34805272320
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
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
155 : 1, 5, 31, 155
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 784,702,408,155, is 1.
Now, the common factors can be found like this.
784:2x 2x 2x 2x 7x 7
702:2x 3x 3x 3x 13
408:2x 2x 2x 3x 17
155:5x 31
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 3 = 48
Therefore, the value for common factors is 48.
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 = 34805272320/(1x48)
LCM = 34805272320/48
LCM = 725109840
Thus, we can understand that the LCM of 784,702,408,155 is 725109840.
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FAQs on LCM of 784, 702, 408, 155
1. What is the LCM of 784, 702, 408, 155?
Answer: LCM of 784, 702, 408, 155 is 725109840.
2. How to calculate the LCM of 784, 702, 408, 155?
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, 702, 408, 155.
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}.