Find the LCM of 632, 798, 947, 854, 716 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 632, 798, 947, 854, 716. So, keep reading to learn more.
Given numbers are 632,798,947,854,716
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 632,798,947,854,716 is 2607491005224.
Find LCM of 632,798,947,854,716 with Prime Factorization
2 | 632, 798, 947, 854, 716 |
2 | 316, 399, 947, 427, 358 |
7 | 158, 399, 947, 427, 179 |
158, 57, 947, 61, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 158 x 57 x 947 x 61 x 179 = 2607491005224
Therefore, the lowest common multiple of 632,798,947,854,716 is 2607491005224.
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.
632 x 798 x 947 x 854 x 716 = 292038992585088
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.
632 : 1, 2, 4, 8, 79, 158, 316, 632
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
947 : 1, 947
854 : 1, 2, 7, 14, 61, 122, 427, 854
716 : 1, 2, 4, 179, 358, 716
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 632,798,947,854,716, is 1.
Now, the common factors can be found like this.
632:2x 2x 2x 79
798:2x 3x 7x 19
947:947
854:2x 7x 61
716:2x 2x 179
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 7 = 112
Therefore, the value for common factors is 112.
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 = 292038992585088/(1x112)
LCM = 292038992585088/112
LCM = 2607491005224
Thus, we can understand that the LCM of 632,798,947,854,716 is 2607491005224.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 632, 798, 947, 854, 716?
Answer: LCM of 632, 798, 947, 854, 716 is 2607491005224.
2. How to calculate the LCM of 632, 798, 947, 854, 716?
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 632, 798, 947, 854, 716.
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}.