LCM of 952, 808, 807, 648, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 952, 808, 807, 648, 414 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 952, 808, 807, 648, 414. So, keep reading to learn more.
Given numbers are 952,808,807,648,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 952,808,807,648,414 is 48186286344.
Find LCM of 952,808,807,648,414 with Prime Factorization
| 2 | 952, 808, 807, 648, 414 |
| 2 | 476, 404, 807, 324, 207 |
| 2 | 238, 202, 807, 162, 207 |
| 3 | 119, 101, 807, 81, 207 |
| 3 | 119, 101, 269, 27, 69 |
| 119, 101, 269, 9, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 119 x 101 x 269 x 9 x 23 = 48186286344
Therefore, the lowest common multiple of 952,808,807,648,414 is 48186286344.
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.
952 x 808 x 807 x 648 x 414 = 166531805604864
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.
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
808 : 1, 2, 4, 8, 101, 202, 404, 808
807 : 1, 3, 269, 807
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 952,808,807,648,414, is 1.
Now, the common factors can be found like this.
952:2x 2x 2x 7x 17
808:2x 2x 2x 101
807:3x 269
648:2x 2x 2x 3x 3x 3x 3
414:2x 3x 3x 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 2x 2x 3x 3x 3 = 3456
Therefore, the value for common factors is 3456.
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 = 166531805604864/(1x3456)
LCM = 166531805604864/3456
LCM = 48186286344
Thus, we can understand that the LCM of 952,808,807,648,414 is 48186286344.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 952, 808, 807, 648, 414
1. What is the LCM of 952, 808, 807, 648, 414?
Answer: LCM of 952, 808, 807, 648, 414 is 48186286344.
2. How to calculate the LCM of 952, 808, 807, 648, 414?
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 952, 808, 807, 648, 414.
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}.