LCM of 464, 864, 702, 318, 148
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 464, 864, 702, 318, 148 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 464, 864, 702, 318, 148. So, keep reading to learn more.
Given numbers are 464,864,702,318,148
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 464,864,702,318,148 is 638752608.
Find LCM of 464,864,702,318,148 with Prime Factorization
| 2 | 464, 864, 702, 318, 148 |
| 2 | 232, 432, 351, 159, 74 |
| 2 | 116, 216, 351, 159, 37 |
| 2 | 58, 108, 351, 159, 37 |
| 3 | 29, 54, 351, 159, 37 |
| 3 | 29, 18, 117, 53, 37 |
| 3 | 29, 6, 39, 53, 37 |
| 29, 2, 13, 53, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 3 x 29 x 2 x 13 x 53 x 37 = 638752608
Therefore, the lowest common multiple of 464,864,702,318,148 is 638752608.
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.
464 x 864 x 702 x 318 x 148 = 13245174079488
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.
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
318 : 1, 2, 3, 6, 53, 106, 159, 318
148 : 1, 2, 4, 37, 74, 148
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,864,702,318,148, is 2.
Now, the common factors can be found like this.
464:2x 2x 2x 2x 29
864:2x 2x 2x 2x 2x 3x 3x 3
702:2x 3x 3x 3x 13
318:2x 3x 53
148:2x 2x 37
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 2x 2x 3x 3x 3x 3 = 10368
Therefore, the value for common factors is 10368.
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 = 13245174079488/(2x10368)
LCM = 13245174079488/20736
LCM = 638752608
Thus, we can understand that the LCM of 464,864,702,318,148 is 638752608.
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FAQs on LCM of 464, 864, 702, 318, 148
1. What is the LCM of 464, 864, 702, 318, 148?
Answer: LCM of 464, 864, 702, 318, 148 is 638752608.
2. How to calculate the LCM of 464, 864, 702, 318, 148?
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 464, 864, 702, 318, 148.
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}.