LCM of 847, 455, 312, 560, 685
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 847, 455, 312, 560, 685 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 847, 455, 312, 560, 685. So, keep reading to learn more.
Given numbers are 847,455,312,560,685
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 847,455,312,560,685 is 362041680.
Find LCM of 847,455,312,560,685 with Prime Factorization
| 2 | 847, 455, 312, 560, 685 |
| 2 | 847, 455, 156, 280, 685 |
| 2 | 847, 455, 78, 140, 685 |
| 5 | 847, 455, 39, 70, 685 |
| 7 | 847, 91, 39, 14, 137 |
| 13 | 121, 13, 39, 2, 137 |
| 121, 1, 3, 2, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 7 x 13 x 121 x 1 x 3 x 2 x 137 = 362041680
Therefore, the lowest common multiple of 847,455,312,560,685 is 362041680.
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.
847 x 455 x 312 x 560 x 685 = 46124110032000
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.
847 : 1, 7, 11, 77, 121, 847
455 : 1, 5, 7, 13, 35, 65, 91, 455
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
685 : 1, 5, 137, 685
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 847,455,312,560,685, is 1.
Now, the common factors can be found like this.
847:7x 11x 11
455:5x 7x 13
312:2x 2x 2x 3x 13
560:2x 2x 2x 2x 5x 7
685:5x 137
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 5x 5x 7x 7x 13 = 127400
Therefore, the value for common factors is 127400.
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 = 46124110032000/(1x127400)
LCM = 46124110032000/127400
LCM = 362041680
Thus, we can understand that the LCM of 847,455,312,560,685 is 362041680.
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FAQs on LCM of 847, 455, 312, 560, 685
1. What is the LCM of 847, 455, 312, 560, 685?
Answer: LCM of 847, 455, 312, 560, 685 is 362041680.
2. How to calculate the LCM of 847, 455, 312, 560, 685?
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 847, 455, 312, 560, 685.
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}.