LCM of 782, 712, 781, 319
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 782, 712, 781, 319 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 782, 712, 781, 319. So, keep reading to learn more.
Given numbers are 782,712,781,319
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,712,781,319 is 6305300408.
Find LCM of 782,712,781,319 with Prime Factorization
| 2 | 782, 712, 781, 319 |
| 11 | 391, 356, 781, 319 |
| 391, 356, 71, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 391 x 356 x 71 x 29 = 6305300408
Therefore, the lowest common multiple of 782,712,781,319 is 6305300408.
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.
782 x 712 x 781 x 319 = 138716608976
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.
782 : 1, 2, 17, 23, 34, 46, 391, 782
712 : 1, 2, 4, 8, 89, 178, 356, 712
781 : 1, 11, 71, 781
319 : 1, 11, 29, 319
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,712,781,319, is 1.
Now, the common factors can be found like this.
782:2x 17x 23
712:2x 2x 2x 89
781:11x 71
319:11x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 138716608976/(1x22)
LCM = 138716608976/22
LCM = 6305300408
Thus, we can understand that the LCM of 782,712,781,319 is 6305300408.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 782, 712, 781, 319
1. What is the LCM of 782, 712, 781, 319?
Answer: LCM of 782, 712, 781, 319 is 6305300408.
2. How to calculate the LCM of 782, 712, 781, 319?
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 782, 712, 781, 319.
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}.