Find the LCM of 268, 804, 803, 536, 572 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 268, 804, 803, 536, 572. So, keep reading to learn more.
Given numbers are 268,804,803,536,572
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 268,804,803,536,572 is 16785912.
Find LCM of 268,804,803,536,572 with Prime Factorization
2 | 268, 804, 803, 536, 572 |
2 | 134, 402, 803, 268, 286 |
11 | 67, 201, 803, 134, 143 |
67 | 67, 201, 73, 134, 13 |
1, 3, 73, 2, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 67 x 1 x 3 x 73 x 2 x 13 = 16785912
Therefore, the lowest common multiple of 268,804,803,536,572 is 16785912.
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.
268 x 804 x 803 x 536 x 572 = 53047779113472
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.
268 : 1, 2, 4, 67, 134, 268
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
803 : 1, 11, 73, 803
536 : 1, 2, 4, 8, 67, 134, 268, 536
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,804,803,536,572, is 1.
Now, the common factors can be found like this.
268:2x 2x 67
804:2x 2x 3x 67
803:11x 73
536:2x 2x 2x 67
572:2x 2x 11x 13
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 2x 2x 11x 67x 67 = 3160256
Therefore, the value for common factors is 3160256.
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 = 53047779113472/(1x3160256)
LCM = 53047779113472/3160256
LCM = 16785912
Thus, we can understand that the LCM of 268,804,803,536,572 is 16785912.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 268, 804, 803, 536, 572?
Answer: LCM of 268, 804, 803, 536, 572 is 16785912.
2. How to calculate the LCM of 268, 804, 803, 536, 572?
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 268, 804, 803, 536, 572.
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}.