Find the LCM of 859, 212, 748, 508, 711 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, 212, 748, 508, 711. So, keep reading to learn more.
Given numbers are 859,212,748,508,711
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 859,212,748,508,711 is 3074991736212.
Find LCM of 859,212,748,508,711 with Prime Factorization
2 | 859, 212, 748, 508, 711 |
2 | 859, 106, 374, 254, 711 |
859, 53, 187, 127, 711 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 859 x 53 x 187 x 127 x 711 = 3074991736212
Therefore, the lowest common multiple of 859,212,748,508,711 is 3074991736212.
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 212 x 748 x 508 x 711 = 49199867779392
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
212 : 1, 2, 4, 53, 106, 212
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
508 : 1, 2, 4, 127, 254, 508
711 : 1, 3, 9, 79, 237, 711
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 859,212,748,508,711, is 1.
Now, the common factors can be found like this.
859:859
212:2x 2x 53
748:2x 2x 11x 17
508:2x 2x 127
711:3x 3x 79
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 2 = 16
Therefore, the value for common factors is 16.
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 = 49199867779392/(1x16)
LCM = 49199867779392/16
LCM = 3074991736212
Thus, we can understand that the LCM of 859,212,748,508,711 is 3074991736212.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 859, 212, 748, 508, 711?
Answer: LCM of 859, 212, 748, 508, 711 is 3074991736212.
2. How to calculate the LCM of 859, 212, 748, 508, 711?
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, 212, 748, 508, 711.
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}.