LCM of 698, 262, 579, 570, 190
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 698, 262, 579, 570, 190 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 698, 262, 579, 570, 190. So, keep reading to learn more.
Given numbers are 698,262,579,570,190
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 698,262,579,570,190 is 5029547190.
Find LCM of 698,262,579,570,190 with Prime Factorization
| 2 | 698, 262, 579, 570, 190 |
| 3 | 349, 131, 579, 285, 95 |
| 5 | 349, 131, 193, 95, 95 |
| 19 | 349, 131, 193, 19, 19 |
| 349, 131, 193, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 19 x 349 x 131 x 193 x 1 x 1 = 5029547190
Therefore, the lowest common multiple of 698,262,579,570,190 is 5029547190.
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.
698 x 262 x 579 x 570 x 190 = 11467367593200
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.
698 : 1, 2, 349, 698
262 : 1, 2, 131, 262
579 : 1, 3, 193, 579
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
190 : 1, 2, 5, 10, 19, 38, 95, 190
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 698,262,579,570,190, is 1.
Now, the common factors can be found like this.
698:2x 349
262:2x 131
579:3x 193
570:2x 3x 5x 19
190:2x 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 2x 2x 3x 5x 19 = 2280
Therefore, the value for common factors is 2280.
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 = 11467367593200/(1x2280)
LCM = 11467367593200/2280
LCM = 5029547190
Thus, we can understand that the LCM of 698,262,579,570,190 is 5029547190.
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FAQs on LCM of 698, 262, 579, 570, 190
1. What is the LCM of 698, 262, 579, 570, 190?
Answer: LCM of 698, 262, 579, 570, 190 is 5029547190.
2. How to calculate the LCM of 698, 262, 579, 570, 190?
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 698, 262, 579, 570, 190.
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}.