LCM of 580, 667, 168, 442, 688
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 580, 667, 168, 442, 688 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 580, 667, 168, 442, 688. So, keep reading to learn more.
Given numbers are 580,667,168,442,688
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 580,667,168,442,688 is 10648681680.
Find LCM of 580,667,168,442,688 with Prime Factorization
| 2 | 580, 667, 168, 442, 688 |
| 2 | 290, 667, 84, 221, 344 |
| 2 | 145, 667, 42, 221, 172 |
| 29 | 145, 667, 21, 221, 86 |
| 5, 23, 21, 221, 86 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 29 x 5 x 23 x 21 x 221 x 86 = 10648681680
Therefore, the lowest common multiple of 580,667,168,442,688 is 10648681680.
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.
580 x 667 x 168 x 442 x 688 = 19763953198080
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.
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
667 : 1, 23, 29, 667
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
442 : 1, 2, 13, 17, 26, 34, 221, 442
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,667,168,442,688, is 1.
Now, the common factors can be found like this.
580:2x 2x 5x 29
667:23x 29
168:2x 2x 2x 3x 7
442:2x 13x 17
688:2x 2x 2x 2x 43
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 2x 29 = 1856
Therefore, the value for common factors is 1856.
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 = 19763953198080/(1x1856)
LCM = 19763953198080/1856
LCM = 10648681680
Thus, we can understand that the LCM of 580,667,168,442,688 is 10648681680.
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FAQs on LCM of 580, 667, 168, 442, 688
1. What is the LCM of 580, 667, 168, 442, 688?
Answer: LCM of 580, 667, 168, 442, 688 is 10648681680.
2. How to calculate the LCM of 580, 667, 168, 442, 688?
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 580, 667, 168, 442, 688.
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}.