LCM of 861, 815, 611, 962, 500
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 861, 815, 611, 962, 500 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 861, 815, 611, 962, 500. So, keep reading to learn more.
Given numbers are 861,815,611,962,500
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 861,815,611,962,500 is 1586367100500.
Find LCM of 861,815,611,962,500 with Prime Factorization
| 2 | 861, 815, 611, 962, 500 |
| 5 | 861, 815, 611, 481, 250 |
| 13 | 861, 163, 611, 481, 50 |
| 861, 163, 47, 37, 50 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 861 x 163 x 47 x 37 x 50 = 1586367100500
Therefore, the lowest common multiple of 861,815,611,962,500 is 1586367100500.
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.
861 x 815 x 611 x 962 x 500 = 206227723065000
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.
861 : 1, 3, 7, 21, 41, 123, 287, 861
815 : 1, 5, 163, 815
611 : 1, 13, 47, 611
962 : 1, 2, 13, 26, 37, 74, 481, 962
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,815,611,962,500, is 1.
Now, the common factors can be found like this.
861:3x 7x 41
815:5x 163
611:13x 47
962:2x 13x 37
500:2x 2x 5x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 13 = 130
Therefore, the value for common factors is 130.
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 = 206227723065000/(1x130)
LCM = 206227723065000/130
LCM = 1586367100500
Thus, we can understand that the LCM of 861,815,611,962,500 is 1586367100500.
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FAQs on LCM of 861, 815, 611, 962, 500
1. What is the LCM of 861, 815, 611, 962, 500?
Answer: LCM of 861, 815, 611, 962, 500 is 1586367100500.
2. How to calculate the LCM of 861, 815, 611, 962, 500?
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 861, 815, 611, 962, 500.
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}.