LCM of 781, 952, 567, 646, 475
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 781, 952, 567, 646, 475 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 781, 952, 567, 646, 475. So, keep reading to learn more.
Given numbers are 781,952,567,646,475
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 781,952,567,646,475 is 28606624200.
Find LCM of 781,952,567,646,475 with Prime Factorization
| 2 | 781, 952, 567, 646, 475 |
| 7 | 781, 476, 567, 323, 475 |
| 17 | 781, 68, 81, 323, 475 |
| 19 | 781, 4, 81, 19, 475 |
| 781, 4, 81, 1, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 17 x 19 x 781 x 4 x 81 x 1 x 25 = 28606624200
Therefore, the lowest common multiple of 781,952,567,646,475 is 28606624200.
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.
781 x 952 x 567 x 646 x 475 = 129359154632400
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.
781 : 1, 11, 71, 781
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
646 : 1, 2, 17, 19, 34, 38, 323, 646
475 : 1, 5, 19, 25, 95, 475
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,952,567,646,475, is 1.
Now, the common factors can be found like this.
781:11x 71
952:2x 2x 2x 7x 17
567:3x 3x 3x 3x 7
646:2x 17x 19
475:5x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 17x 19 = 4522
Therefore, the value for common factors is 4522.
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 = 129359154632400/(1x4522)
LCM = 129359154632400/4522
LCM = 28606624200
Thus, we can understand that the LCM of 781,952,567,646,475 is 28606624200.
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FAQs on LCM of 781, 952, 567, 646, 475
1. What is the LCM of 781, 952, 567, 646, 475?
Answer: LCM of 781, 952, 567, 646, 475 is 28606624200.
2. How to calculate the LCM of 781, 952, 567, 646, 475?
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 781, 952, 567, 646, 475.
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}.