LCM of 781, 781, 309, 435, 614
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 781, 781, 309, 435, 614 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 781, 781, 309, 435, 614. So, keep reading to learn more.
Given numbers are 781,781,309,435,614
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 781,781,309,435,614 is 21485520870.
Find LCM of 781,781,309,435,614 with Prime Factorization
| 3 | 781, 781, 309, 435, 614 |
| 11 | 781, 781, 103, 145, 614 |
| 71 | 71, 71, 103, 145, 614 |
| 1, 1, 103, 145, 614 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 71 x 1 x 1 x 103 x 145 x 614 = 21485520870
Therefore, the lowest common multiple of 781,781,309,435,614 is 21485520870.
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.
781 x 781 x 309 x 435 x 614 = 50340575398410
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.
781 : 1, 11, 71, 781
781 : 1, 11, 71, 781
309 : 1, 3, 103, 309
435 : 1, 3, 5, 15, 29, 87, 145, 435
614 : 1, 2, 307, 614
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,781,309,435,614, is 1.
Now, the common factors can be found like this.
781:11x 71
781:11x 71
309:3x 103
435:3x 5x 29
614:2x 307
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 71 = 2343
Therefore, the value for common factors is 2343.
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 = 50340575398410/(1x2343)
LCM = 50340575398410/2343
LCM = 21485520870
Thus, we can understand that the LCM of 781,781,309,435,614 is 21485520870.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 781, 781, 309, 435, 614
1. What is the LCM of 781, 781, 309, 435, 614?
Answer: LCM of 781, 781, 309, 435, 614 is 21485520870.
2. How to calculate the LCM of 781, 781, 309, 435, 614?
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 781, 781, 309, 435, 614.
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}.