LCM of 859, 921, 262, 856, 840
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 859, 921, 262, 856, 840 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, 921, 262, 856, 840. So, keep reading to learn more.
Given numbers are 859,921,262,856,840
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 859,921,262,856,840 is 3105030701640.
Find LCM of 859,921,262,856,840 with Prime Factorization
| 2 | 859, 921, 262, 856, 840 |
| 2 | 859, 921, 131, 428, 420 |
| 2 | 859, 921, 131, 214, 210 |
| 3 | 859, 921, 131, 107, 105 |
| 859, 307, 131, 107, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 859 x 307 x 131 x 107 x 35 = 3105030701640
Therefore, the lowest common multiple of 859,921,262,856,840 is 3105030701640.
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 921 x 262 x 856 x 840 = 149041473678720
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
921 : 1, 3, 307, 921
262 : 1, 2, 131, 262
856 : 1, 2, 4, 8, 107, 214, 428, 856
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 859,921,262,856,840, is 1.
Now, the common factors can be found like this.
859:859
921:3x 307
262:2x 131
856:2x 2x 2x 107
840:2x 2x 2x 3x 5x 7
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 3 = 48
Therefore, the value for common factors is 48.
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 = 149041473678720/(1x48)
LCM = 149041473678720/48
LCM = 3105030701640
Thus, we can understand that the LCM of 859,921,262,856,840 is 3105030701640.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 859, 921, 262, 856, 840
1. What is the LCM of 859, 921, 262, 856, 840?
Answer: LCM of 859, 921, 262, 856, 840 is 3105030701640.
2. How to calculate the LCM of 859, 921, 262, 856, 840?
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, 921, 262, 856, 840.
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}.