LCM of 604, 516, 560, 210, 406
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 604, 516, 560, 210, 406 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 604, 516, 560, 210, 406. So, keep reading to learn more.
Given numbers are 604,516,560,210,406
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 604,516,560,210,406 is 316338960.
Find LCM of 604,516,560,210,406 with Prime Factorization
| 2 | 604, 516, 560, 210, 406 |
| 2 | 302, 258, 280, 105, 203 |
| 3 | 151, 129, 140, 105, 203 |
| 5 | 151, 43, 140, 35, 203 |
| 7 | 151, 43, 28, 7, 203 |
| 151, 43, 4, 1, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 151 x 43 x 4 x 1 x 29 = 316338960
Therefore, the lowest common multiple of 604,516,560,210,406 is 316338960.
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.
604 x 516 x 560 x 210 x 406 = 14880584678400
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.
604 : 1, 2, 4, 151, 302, 604
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
406 : 1, 2, 7, 14, 29, 58, 203, 406
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 604,516,560,210,406, is 2.
Now, the common factors can be found like this.
604:2x 2x 151
516:2x 2x 3x 43
560:2x 2x 2x 2x 5x 7
210:2x 3x 5x 7
406:2x 7x 29
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 3x 5x 7x 7 = 23520
Therefore, the value for common factors is 23520.
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 = 14880584678400/(2x23520)
LCM = 14880584678400/47040
LCM = 316338960
Thus, we can understand that the LCM of 604,516,560,210,406 is 316338960.
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FAQs on LCM of 604, 516, 560, 210, 406
1. What is the LCM of 604, 516, 560, 210, 406?
Answer: LCM of 604, 516, 560, 210, 406 is 316338960.
2. How to calculate the LCM of 604, 516, 560, 210, 406?
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 604, 516, 560, 210, 406.
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}.