LCM of 861, 500, 782, 748, 849
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 861, 500, 782, 748, 849 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, 500, 782, 748, 849. So, keep reading to learn more.
Given numbers are 861,500,782,748,849
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 861,500,782,748,849 is 523997281500.
Find LCM of 861,500,782,748,849 with Prime Factorization
| 2 | 861, 500, 782, 748, 849 |
| 2 | 861, 250, 391, 374, 849 |
| 3 | 861, 125, 391, 187, 849 |
| 17 | 287, 125, 391, 187, 283 |
| 287, 125, 23, 11, 283 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 287 x 125 x 23 x 11 x 283 = 523997281500
Therefore, the lowest common multiple of 861,500,782,748,849 is 523997281500.
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 500 x 782 x 748 x 849 = 213790890852000
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
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
782 : 1, 2, 17, 23, 34, 46, 391, 782
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
849 : 1, 3, 283, 849
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,500,782,748,849, is 1.
Now, the common factors can be found like this.
861:3x 7x 41
500:2x 2x 5x 5x 5
782:2x 17x 23
748:2x 2x 11x 17
849:3x 283
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 3x 17 = 408
Therefore, the value for common factors is 408.
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 = 213790890852000/(1x408)
LCM = 213790890852000/408
LCM = 523997281500
Thus, we can understand that the LCM of 861,500,782,748,849 is 523997281500.
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FAQs on LCM of 861, 500, 782, 748, 849
1. What is the LCM of 861, 500, 782, 748, 849?
Answer: LCM of 861, 500, 782, 748, 849 is 523997281500.
2. How to calculate the LCM of 861, 500, 782, 748, 849?
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, 500, 782, 748, 849.
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}.