Find the LCM of 469, 916, 536, 188 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 469, 916, 536, 188. So, keep reading to learn more.
Given numbers are 469,916,536,188
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 469,916,536,188 is 40382776.
Find LCM of 469,916,536,188 with Prime Factorization
2 | 469, 916, 536, 188 |
2 | 469, 458, 268, 94 |
67 | 469, 229, 134, 47 |
7, 229, 2, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 67 x 7 x 229 x 2 x 47 = 40382776
Therefore, the lowest common multiple of 469,916,536,188 is 40382776.
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.
469 x 916 x 536 x 188 = 43290335872
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.
469 : 1, 7, 67, 469
916 : 1, 2, 4, 229, 458, 916
536 : 1, 2, 4, 8, 67, 134, 268, 536
188 : 1, 2, 4, 47, 94, 188
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,916,536,188, is 1.
Now, the common factors can be found like this.
469:7x 67
916:2x 2x 229
536:2x 2x 2x 67
188:2x 2x 47
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 67 = 1072
Therefore, the value for common factors is 1072.
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 = 43290335872/(1x1072)
LCM = 43290335872/1072
LCM = 40382776
Thus, we can understand that the LCM of 469,916,536,188 is 40382776.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 469, 916, 536, 188?
Answer: LCM of 469, 916, 536, 188 is 40382776.
2. How to calculate the LCM of 469, 916, 536, 188?
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 469, 916, 536, 188.
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}.