LCM of 646, 448, 680, 350, 817
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 646, 448, 680, 350, 817 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 646, 448, 680, 350, 817. So, keep reading to learn more.
Given numbers are 646,448,680,350,817
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 646,448,680,350,817 is 155556800.
Find LCM of 646,448,680,350,817 with Prime Factorization
| 2 | 646, 448, 680, 350, 817 |
| 2 | 323, 224, 340, 175, 817 |
| 2 | 323, 112, 170, 175, 817 |
| 5 | 323, 56, 85, 175, 817 |
| 7 | 323, 56, 17, 35, 817 |
| 17 | 323, 8, 17, 5, 817 |
| 19 | 19, 8, 1, 5, 817 |
| 1, 8, 1, 5, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 7 x 17 x 19 x 1 x 8 x 1 x 5 x 43 = 155556800
Therefore, the lowest common multiple of 646,448,680,350,817 is 155556800.
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.
646 x 448 x 680 x 350 x 817 = 56274227968000
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.
646 : 1, 2, 17, 19, 34, 38, 323, 646
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
817 : 1, 19, 43, 817
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 646,448,680,350,817, is 1.
Now, the common factors can be found like this.
646:2x 17x 19
448:2x 2x 2x 2x 2x 2x 7
680:2x 2x 2x 5x 17
350:2x 5x 5x 7
817:19x 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 5x 7x 17x 19 = 361760
Therefore, the value for common factors is 361760.
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 = 56274227968000/(1x361760)
LCM = 56274227968000/361760
LCM = 155556800
Thus, we can understand that the LCM of 646,448,680,350,817 is 155556800.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 646, 448, 680, 350, 817
1. What is the LCM of 646, 448, 680, 350, 817?
Answer: LCM of 646, 448, 680, 350, 817 is 155556800.
2. How to calculate the LCM of 646, 448, 680, 350, 817?
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 646, 448, 680, 350, 817.
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}.