LCM of 832, 195, 792, 894, 506
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 832, 195, 792, 894, 506 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 832, 195, 792, 894, 506. So, keep reading to learn more.
Given numbers are 832,195,792,894,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 832,195,792,894,506 is 1411375680.
Find LCM of 832,195,792,894,506 with Prime Factorization
| 2 | 832, 195, 792, 894, 506 |
| 2 | 416, 195, 396, 447, 253 |
| 2 | 208, 195, 198, 447, 253 |
| 3 | 104, 195, 99, 447, 253 |
| 11 | 104, 65, 33, 149, 253 |
| 13 | 104, 65, 3, 149, 23 |
| 8, 5, 3, 149, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 13 x 8 x 5 x 3 x 149 x 23 = 1411375680
Therefore, the lowest common multiple of 832,195,792,894,506 is 1411375680.
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.
832 x 195 x 792 x 894 x 506 = 58126096005120
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.
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
195 : 1, 3, 5, 13, 15, 39, 65, 195
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
894 : 1, 2, 3, 6, 149, 298, 447, 894
506 : 1, 2, 11, 22, 23, 46, 253, 506
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 832,195,792,894,506, is 1.
Now, the common factors can be found like this.
832:2x 2x 2x 2x 2x 2x 13
195:3x 5x 13
792:2x 2x 2x 3x 3x 11
894:2x 3x 149
506:2x 11x 23
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 2x 3x 3x 11x 13 = 41184
Therefore, the value for common factors is 41184.
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 = 58126096005120/(1x41184)
LCM = 58126096005120/41184
LCM = 1411375680
Thus, we can understand that the LCM of 832,195,792,894,506 is 1411375680.
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FAQs on LCM of 832, 195, 792, 894, 506
1. What is the LCM of 832, 195, 792, 894, 506?
Answer: LCM of 832, 195, 792, 894, 506 is 1411375680.
2. How to calculate the LCM of 832, 195, 792, 894, 506?
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 832, 195, 792, 894, 506.
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}.