Find the LCM of 702, 621, 254, 747, 787 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, 621, 254, 747, 787. So, keep reading to learn more.
Given numbers are 702,621,254,747,787
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 702,621,254,747,787 is 133943453982.
Find LCM of 702,621,254,747,787 with Prime Factorization
2 | 702, 621, 254, 747, 787 |
3 | 351, 621, 127, 747, 787 |
3 | 117, 207, 127, 249, 787 |
3 | 39, 69, 127, 83, 787 |
13, 23, 127, 83, 787 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 13 x 23 x 127 x 83 x 787 = 133943453982
Therefore, the lowest common multiple of 702,621,254,747,787 is 133943453982.
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 621 x 254 x 747 x 787 = 65096518635252
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
621 : 1, 3, 9, 23, 27, 69, 207, 621
254 : 1, 2, 127, 254
747 : 1, 3, 9, 83, 249, 747
787 : 1, 787
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,621,254,747,787, is 1.
Now, the common factors can be found like this.
702:2x 3x 3x 3x 13
621:3x 3x 3x 23
254:2x 127
747:3x 3x 83
787:787
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 3 = 486
Therefore, the value for common factors is 486.
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 = 65096518635252/(1x486)
LCM = 65096518635252/486
LCM = 133943453982
Thus, we can understand that the LCM of 702,621,254,747,787 is 133943453982.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 702, 621, 254, 747, 787?
Answer: LCM of 702, 621, 254, 747, 787 is 133943453982.
2. How to calculate the LCM of 702, 621, 254, 747, 787?
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, 621, 254, 747, 787.
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}.