Find the LCM of 253, 519, 142, 633, 682 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 253, 519, 142, 633, 682. So, keep reading to learn more.
Given numbers are 253,519,142,633,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,519,142,633,682 is 121960830354.
Find LCM of 253,519,142,633,682 with Prime Factorization
2 | 253, 519, 142, 633, 682 |
3 | 253, 519, 71, 633, 341 |
11 | 253, 173, 71, 211, 341 |
23, 173, 71, 211, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 23 x 173 x 71 x 211 x 31 = 121960830354
Therefore, the lowest common multiple of 253,519,142,633,682 is 121960830354.
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.
253 x 519 x 142 x 633 x 682 = 8049414803364
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.
253 : 1, 11, 23, 253
519 : 1, 3, 173, 519
142 : 1, 2, 71, 142
633 : 1, 3, 211, 633
682 : 1, 2, 11, 22, 31, 62, 341, 682
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,519,142,633,682, is 1.
Now, the common factors can be found like this.
253:11x 23
519:3x 173
142:2x 71
633:3x 211
682:2x 11x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11 = 66
Therefore, the value for common factors is 66.
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 = 8049414803364/(1x66)
LCM = 8049414803364/66
LCM = 121960830354
Thus, we can understand that the LCM of 253,519,142,633,682 is 121960830354.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 253, 519, 142, 633, 682?
Answer: LCM of 253, 519, 142, 633, 682 is 121960830354.
2. How to calculate the LCM of 253, 519, 142, 633, 682?
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 253, 519, 142, 633, 682.
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}.