LCM of 767, 115, 675, 468, 702
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 767, 115, 675, 468, 702 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 767, 115, 675, 468, 702. So, keep reading to learn more.
Given numbers are 767,115,675,468,702
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 767,115,675,468,702 is 47630700.
Find LCM of 767,115,675,468,702 with Prime Factorization
| 2 | 767, 115, 675, 468, 702 |
| 3 | 767, 115, 675, 234, 351 |
| 3 | 767, 115, 225, 78, 117 |
| 3 | 767, 115, 75, 26, 39 |
| 5 | 767, 115, 25, 26, 13 |
| 13 | 767, 23, 5, 26, 13 |
| 59, 23, 5, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 13 x 59 x 23 x 5 x 2 x 1 = 47630700
Therefore, the lowest common multiple of 767,115,675,468,702 is 47630700.
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.
767 x 115 x 675 x 468 x 702 = 19560499569000
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.
767 : 1, 13, 59, 767
115 : 1, 5, 23, 115
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,115,675,468,702, is 1.
Now, the common factors can be found like this.
767:13x 59
115:5x 23
675:3x 3x 3x 5x 5
468:2x 2x 3x 3x 13
702:2x 3x 3x 3x 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 3x 3x 3x 3x 3x 5x 13x 13 = 410670
Therefore, the value for common factors is 410670.
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 = 19560499569000/(1x410670)
LCM = 19560499569000/410670
LCM = 47630700
Thus, we can understand that the LCM of 767,115,675,468,702 is 47630700.
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FAQs on LCM of 767, 115, 675, 468, 702
1. What is the LCM of 767, 115, 675, 468, 702?
Answer: LCM of 767, 115, 675, 468, 702 is 47630700.
2. How to calculate the LCM of 767, 115, 675, 468, 702?
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 767, 115, 675, 468, 702.
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}.