LCM of 685, 868, 413, 580, 870
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 685, 868, 413, 580, 870 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 685, 868, 413, 580, 870. So, keep reading to learn more.
Given numbers are 685,868,413,580,870
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 685,868,413,580,870 is 3051979140.
Find LCM of 685,868,413,580,870 with Prime Factorization
| 2 | 685, 868, 413, 580, 870 |
| 2 | 685, 434, 413, 290, 435 |
| 5 | 685, 217, 413, 145, 435 |
| 7 | 137, 217, 413, 29, 87 |
| 29 | 137, 31, 59, 29, 87 |
| 137, 31, 59, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 29 x 137 x 31 x 59 x 1 x 3 = 3051979140
Therefore, the lowest common multiple of 685,868,413,580,870 is 3051979140.
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.
685 x 868 x 413 x 580 x 870 = 123910353084000
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.
685 : 1, 5, 137, 685
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
413 : 1, 7, 59, 413
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 685,868,413,580,870, is 1.
Now, the common factors can be found like this.
685:5x 137
868:2x 2x 7x 31
413:7x 59
580:2x 2x 5x 29
870:2x 3x 5x 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 5x 5x 7x 29 = 40600
Therefore, the value for common factors is 40600.
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 = 123910353084000/(1x40600)
LCM = 123910353084000/40600
LCM = 3051979140
Thus, we can understand that the LCM of 685,868,413,580,870 is 3051979140.
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FAQs on LCM of 685, 868, 413, 580, 870
1. What is the LCM of 685, 868, 413, 580, 870?
Answer: LCM of 685, 868, 413, 580, 870 is 3051979140.
2. How to calculate the LCM of 685, 868, 413, 580, 870?
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 685, 868, 413, 580, 870.
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}.