LCM of 796, 506, 726, 870, 402
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 796, 506, 726, 870, 402 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 796, 506, 726, 870, 402. So, keep reading to learn more.
Given numbers are 796,506,726,870,402
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 796,506,726,870,402 is 64563985860.
Find LCM of 796,506,726,870,402 with Prime Factorization
| 2 | 796, 506, 726, 870, 402 |
| 3 | 398, 253, 363, 435, 201 |
| 11 | 398, 253, 121, 145, 67 |
| 398, 23, 11, 145, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 398 x 23 x 11 x 145 x 67 = 64563985860
Therefore, the lowest common multiple of 796,506,726,870,402 is 64563985860.
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.
796 x 506 x 726 x 870 x 402 = 102269353602240
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.
796 : 1, 2, 4, 199, 398, 796
506 : 1, 2, 11, 22, 23, 46, 253, 506
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
402 : 1, 2, 3, 6, 67, 134, 201, 402
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 796,506,726,870,402, is 2.
Now, the common factors can be found like this.
796:2x 2x 199
506:2x 11x 23
726:2x 3x 11x 11
870:2x 3x 5x 29
402:2x 3x 67
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 3x 3x 11 = 792
Therefore, the value for common factors is 792.
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 = 102269353602240/(2x792)
LCM = 102269353602240/1584
LCM = 64563985860
Thus, we can understand that the LCM of 796,506,726,870,402 is 64563985860.
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FAQs on LCM of 796, 506, 726, 870, 402
1. What is the LCM of 796, 506, 726, 870, 402?
Answer: LCM of 796, 506, 726, 870, 402 is 64563985860.
2. How to calculate the LCM of 796, 506, 726, 870, 402?
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 796, 506, 726, 870, 402.
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}.