LCM of 702, 260, 419, 675, 774
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 702, 260, 419, 675, 774 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 702, 260, 419, 675, 774. So, keep reading to learn more.
Given numbers are 702,260,419,675,774
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 702,260,419,675,774 is 632396700.
Find LCM of 702,260,419,675,774 with Prime Factorization
| 2 | 702, 260, 419, 675, 774 |
| 3 | 351, 130, 419, 675, 387 |
| 3 | 117, 130, 419, 225, 129 |
| 3 | 39, 130, 419, 75, 43 |
| 5 | 13, 130, 419, 25, 43 |
| 13 | 13, 26, 419, 5, 43 |
| 1, 2, 419, 5, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 13 x 1 x 2 x 419 x 5 x 43 = 632396700
Therefore, the lowest common multiple of 702,260,419,675,774 is 632396700.
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.
702 x 260 x 419 x 675 x 774 = 39954823506000
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.
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
419 : 1, 419
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,260,419,675,774, is 1.
Now, the common factors can be found like this.
702:2x 3x 3x 3x 13
260:2x 2x 5x 13
419:419
675:3x 3x 3x 5x 5
774:2x 3x 3x 43
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 3x 3x 3x 3x 3x 5x 13 = 63180
Therefore, the value for common factors is 63180.
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 = 39954823506000/(1x63180)
LCM = 39954823506000/63180
LCM = 632396700
Thus, we can understand that the LCM of 702,260,419,675,774 is 632396700.
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FAQs on LCM of 702, 260, 419, 675, 774
1. What is the LCM of 702, 260, 419, 675, 774?
Answer: LCM of 702, 260, 419, 675, 774 is 632396700.
2. How to calculate the LCM of 702, 260, 419, 675, 774?
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 702, 260, 419, 675, 774.
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}.