Find the LCM of 537, 188, 932, 669, 854 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 537, 188, 932, 669, 854. So, keep reading to learn more.
Given numbers are 537,188,932,669,854
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 537,188,932,669,854 is 2239859587308.
Find LCM of 537,188,932,669,854 with Prime Factorization
2 | 537, 188, 932, 669, 854 |
2 | 537, 94, 466, 669, 427 |
3 | 537, 47, 233, 669, 427 |
179, 47, 233, 223, 427 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 179 x 47 x 233 x 223 x 427 = 2239859587308
Therefore, the lowest common multiple of 537,188,932,669,854 is 2239859587308.
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.
537 x 188 x 932 x 669 x 854 = 53756630095392
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.
537 : 1, 3, 179, 537
188 : 1, 2, 4, 47, 94, 188
932 : 1, 2, 4, 233, 466, 932
669 : 1, 3, 223, 669
854 : 1, 2, 7, 14, 61, 122, 427, 854
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 537,188,932,669,854, is 1.
Now, the common factors can be found like this.
537:3x 179
188:2x 2x 47
932:2x 2x 233
669:3x 223
854:2x 7x 61
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 3 = 24
Therefore, the value for common factors is 24.
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 = 53756630095392/(1x24)
LCM = 53756630095392/24
LCM = 2239859587308
Thus, we can understand that the LCM of 537,188,932,669,854 is 2239859587308.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 537, 188, 932, 669, 854?
Answer: LCM of 537, 188, 932, 669, 854 is 2239859587308.
2. How to calculate the LCM of 537, 188, 932, 669, 854?
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 537, 188, 932, 669, 854.
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}.