LCM of 858, 284, 400, 805, 782
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 858, 284, 400, 805, 782 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 858, 284, 400, 805, 782. So, keep reading to learn more.
Given numbers are 858,284,400,805,782
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 858,284,400,805,782 is 33346513200.
Find LCM of 858,284,400,805,782 with Prime Factorization
| 2 | 858, 284, 400, 805, 782 |
| 2 | 429, 142, 200, 805, 391 |
| 5 | 429, 71, 100, 805, 391 |
| 23 | 429, 71, 20, 161, 391 |
| 429, 71, 20, 7, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 23 x 429 x 71 x 20 x 7 x 17 = 33346513200
Therefore, the lowest common multiple of 858,284,400,805,782 is 33346513200.
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.
858 x 284 x 400 x 805 x 782 = 61357584288000
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.
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
284 : 1, 2, 4, 71, 142, 284
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
805 : 1, 5, 7, 23, 35, 115, 161, 805
782 : 1, 2, 17, 23, 34, 46, 391, 782
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,284,400,805,782, is 1.
Now, the common factors can be found like this.
858:2x 3x 11x 13
284:2x 2x 71
400:2x 2x 2x 2x 5x 5
805:5x 7x 23
782:2x 17x 23
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 5x 23 = 1840
Therefore, the value for common factors is 1840.
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 = 61357584288000/(1x1840)
LCM = 61357584288000/1840
LCM = 33346513200
Thus, we can understand that the LCM of 858,284,400,805,782 is 33346513200.
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FAQs on LCM of 858, 284, 400, 805, 782
1. What is the LCM of 858, 284, 400, 805, 782?
Answer: LCM of 858, 284, 400, 805, 782 is 33346513200.
2. How to calculate the LCM of 858, 284, 400, 805, 782?
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 858, 284, 400, 805, 782.
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}.