LCM of 862, 782, 540, 419, 200
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 862, 782, 540, 419, 200 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 862, 782, 540, 419, 200. So, keep reading to learn more.
Given numbers are 862,782,540,419,200
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 862,782,540,419,200 is 381295614600.
Find LCM of 862,782,540,419,200 with Prime Factorization
| 2 | 862, 782, 540, 419, 200 |
| 2 | 431, 391, 270, 419, 100 |
| 5 | 431, 391, 135, 419, 50 |
| 431, 391, 27, 419, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 431 x 391 x 27 x 419 x 10 = 381295614600
Therefore, the lowest common multiple of 862,782,540,419,200 is 381295614600.
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.
862 x 782 x 540 x 419 x 200 = 30503649168000
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.
862 : 1, 2, 431, 862
782 : 1, 2, 17, 23, 34, 46, 391, 782
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
419 : 1, 419
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 862,782,540,419,200, is 1.
Now, the common factors can be found like this.
862:2x 431
782:2x 17x 23
540:2x 2x 3x 3x 3x 5
419:419
200:2x 2x 2x 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 2x 2x 2x 5 = 80
Therefore, the value for common factors is 80.
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 = 30503649168000/(1x80)
LCM = 30503649168000/80
LCM = 381295614600
Thus, we can understand that the LCM of 862,782,540,419,200 is 381295614600.
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FAQs on LCM of 862, 782, 540, 419, 200
1. What is the LCM of 862, 782, 540, 419, 200?
Answer: LCM of 862, 782, 540, 419, 200 is 381295614600.
2. How to calculate the LCM of 862, 782, 540, 419, 200?
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 862, 782, 540, 419, 200.
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}.