LCM of 520, 461, 895, 856
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 520, 461, 895, 856 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 520, 461, 895, 856. So, keep reading to learn more.
Given numbers are 520,461,895,856
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 520,461,895,856 is 4591357160.
Find LCM of 520,461,895,856 with Prime Factorization
| 2 | 520, 461, 895, 856 |
| 2 | 260, 461, 895, 428 |
| 2 | 130, 461, 895, 214 |
| 5 | 65, 461, 895, 107 |
| 13, 461, 179, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 13 x 461 x 179 x 107 = 4591357160
Therefore, the lowest common multiple of 520,461,895,856 is 4591357160.
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.
520 x 461 x 895 x 856 = 183654286400
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.
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
461 : 1, 461
895 : 1, 5, 179, 895
856 : 1, 2, 4, 8, 107, 214, 428, 856
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 520,461,895,856, is 1.
Now, the common factors can be found like this.
520:2x 2x 2x 5x 13
461:461
895:5x 179
856:2x 2x 2x 107
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 5 = 40
Therefore, the value for common factors is 40.
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 = 183654286400/(1x40)
LCM = 183654286400/40
LCM = 4591357160
Thus, we can understand that the LCM of 520,461,895,856 is 4591357160.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 520, 461, 895, 856
1. What is the LCM of 520, 461, 895, 856?
Answer: LCM of 520, 461, 895, 856 is 4591357160.
2. How to calculate the LCM of 520, 461, 895, 856?
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 520, 461, 895, 856.
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}.