LCM of 347, 952, 363, 910, 804
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 347, 952, 363, 910, 804 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 347, 952, 363, 910, 804. So, keep reading to learn more.
Given numbers are 347,952,363,910,804
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 347,952,363,910,804 is 522229267560.
Find LCM of 347,952,363,910,804 with Prime Factorization
| 2 | 347, 952, 363, 910, 804 |
| 2 | 347, 476, 363, 455, 402 |
| 3 | 347, 238, 363, 455, 201 |
| 7 | 347, 238, 121, 455, 67 |
| 347, 34, 121, 65, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 347 x 34 x 121 x 65 x 67 = 522229267560
Therefore, the lowest common multiple of 347,952,363,910,804 is 522229267560.
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.
347 x 952 x 363 x 910 x 804 = 87734516950080
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.
347 : 1, 347
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
363 : 1, 3, 11, 33, 121, 363
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,952,363,910,804, is 1.
Now, the common factors can be found like this.
347:347
952:2x 2x 2x 7x 17
363:3x 11x 11
910:2x 5x 7x 13
804:2x 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 7 = 168
Therefore, the value for common factors is 168.
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 = 87734516950080/(1x168)
LCM = 87734516950080/168
LCM = 522229267560
Thus, we can understand that the LCM of 347,952,363,910,804 is 522229267560.
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FAQs on LCM of 347, 952, 363, 910, 804
1. What is the LCM of 347, 952, 363, 910, 804?
Answer: LCM of 347, 952, 363, 910, 804 is 522229267560.
2. How to calculate the LCM of 347, 952, 363, 910, 804?
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 347, 952, 363, 910, 804.
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}.