LCM of 573, 686, 213, 910, 355
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 573, 686, 213, 910, 355 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 573, 686, 213, 910, 355. So, keep reading to learn more.
Given numbers are 573,686,213,910,355
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 573,686,213,910,355 is 1814054970.
Find LCM of 573,686,213,910,355 with Prime Factorization
| 2 | 573, 686, 213, 910, 355 |
| 3 | 573, 343, 213, 455, 355 |
| 5 | 191, 343, 71, 455, 355 |
| 7 | 191, 343, 71, 91, 71 |
| 71 | 191, 49, 71, 13, 71 |
| 191, 49, 1, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 71 x 191 x 49 x 1 x 13 x 1 = 1814054970
Therefore, the lowest common multiple of 573,686,213,910,355 is 1814054970.
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.
573 x 686 x 213 x 910 x 355 = 27047559602700
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.
573 : 1, 3, 191, 573
686 : 1, 2, 7, 14, 49, 98, 343, 686
213 : 1, 3, 71, 213
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
355 : 1, 5, 71, 355
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 573,686,213,910,355, is 1.
Now, the common factors can be found like this.
573:3x 191
686:2x 7x 7x 7
213:3x 71
910:2x 5x 7x 13
355:5x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 7x 71 = 14910
Therefore, the value for common factors is 14910.
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 = 27047559602700/(1x14910)
LCM = 27047559602700/14910
LCM = 1814054970
Thus, we can understand that the LCM of 573,686,213,910,355 is 1814054970.
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FAQs on LCM of 573, 686, 213, 910, 355
1. What is the LCM of 573, 686, 213, 910, 355?
Answer: LCM of 573, 686, 213, 910, 355 is 1814054970.
2. How to calculate the LCM of 573, 686, 213, 910, 355?
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 573, 686, 213, 910, 355.
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}.