Find the LCM of 248, 682, 573, 852 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 248, 682, 573, 852. So, keep reading to learn more.
Given numbers are 248,682,573,852
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 248,682,573,852 is 110983224.
Find LCM of 248,682,573,852 with Prime Factorization
2 | 248, 682, 573, 852 |
2 | 124, 341, 573, 426 |
3 | 62, 341, 573, 213 |
31 | 62, 341, 191, 71 |
2, 11, 191, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 31 x 2 x 11 x 191 x 71 = 110983224
Therefore, the lowest common multiple of 248,682,573,852 is 110983224.
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.
248 x 682 x 573 x 852 = 82571518656
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.
248 : 1, 2, 4, 8, 31, 62, 124, 248
682 : 1, 2, 11, 22, 31, 62, 341, 682
573 : 1, 3, 191, 573
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 248,682,573,852, is 1.
Now, the common factors can be found like this.
248:2x 2x 2x 31
682:2x 11x 31
573:3x 191
852:2x 2x 3x 71
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 3x 31 = 744
Therefore, the value for common factors is 744.
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 = 82571518656/(1x744)
LCM = 82571518656/744
LCM = 110983224
Thus, we can understand that the LCM of 248,682,573,852 is 110983224.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 248, 682, 573, 852?
Answer: LCM of 248, 682, 573, 852 is 110983224.
2. How to calculate the LCM of 248, 682, 573, 852?
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 248, 682, 573, 852.
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}.