LCM of 782, 460, 158, 792, 426
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 782, 460, 158, 792, 426 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, 460, 158, 792, 426. So, keep reading to learn more.
Given numbers are 782,460,158,792,426
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,460,158,792,426 is 8684751240.
Find LCM of 782,460,158,792,426 with Prime Factorization
| 2 | 782, 460, 158, 792, 426 |
| 2 | 391, 230, 79, 396, 213 |
| 3 | 391, 115, 79, 198, 213 |
| 23 | 391, 115, 79, 66, 71 |
| 17, 5, 79, 66, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 17 x 5 x 79 x 66 x 71 = 8684751240
Therefore, the lowest common multiple of 782,460,158,792,426 is 8684751240.
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 460 x 158 x 792 x 426 = 19175930737920
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
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
158 : 1, 2, 79, 158
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
426 : 1, 2, 3, 6, 71, 142, 213, 426
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,460,158,792,426, is 2.
Now, the common factors can be found like this.
782:2x 17x 23
460:2x 2x 5x 23
158:2x 79
792:2x 2x 2x 3x 3x 11
426:2x 3x 71
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 2x 2x 3x 23 = 1104
Therefore, the value for common factors is 1104.
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 = 19175930737920/(2x1104)
LCM = 19175930737920/2208
LCM = 8684751240
Thus, we can understand that the LCM of 782,460,158,792,426 is 8684751240.
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FAQs on LCM of 782, 460, 158, 792, 426
1. What is the LCM of 782, 460, 158, 792, 426?
Answer: LCM of 782, 460, 158, 792, 426 is 8684751240.
2. How to calculate the LCM of 782, 460, 158, 792, 426?
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, 460, 158, 792, 426.
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}.