LCM of 859, 840, 782, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 859, 840, 782, 414 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 859, 840, 782, 414. So, keep reading to learn more.
Given numbers are 859,840,782,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 859,840,782,414 is 846389880.
Find LCM of 859,840,782,414 with Prime Factorization
| 2 | 859, 840, 782, 414 |
| 3 | 859, 420, 391, 207 |
| 23 | 859, 140, 391, 69 |
| 859, 140, 17, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 859 x 140 x 17 x 3 = 846389880
Therefore, the lowest common multiple of 859,840,782,414 is 846389880.
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.
859 x 840 x 782 x 414 = 233603606880
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.
859 : 1, 859
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
782 : 1, 2, 17, 23, 34, 46, 391, 782
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 859,840,782,414, is 1.
Now, the common factors can be found like this.
859:859
840:2x 2x 2x 3x 5x 7
782:2x 17x 23
414:2x 3x 3x 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 3x 23 = 276
Therefore, the value for common factors is 276.
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 = 233603606880/(1x276)
LCM = 233603606880/276
LCM = 846389880
Thus, we can understand that the LCM of 859,840,782,414 is 846389880.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 859, 840, 782, 414
1. What is the LCM of 859, 840, 782, 414?
Answer: LCM of 859, 840, 782, 414 is 846389880.
2. How to calculate the LCM of 859, 840, 782, 414?
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 859, 840, 782, 414.
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}.