Find the LCM of 767, 374, 782, 841, 246 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 767, 374, 782, 841, 246. So, keep reading to learn more.
Given numbers are 767,374,782,841,246
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 767,374,782,841,246 is 682489398162.
Find LCM of 767,374,782,841,246 with Prime Factorization
2 | 767, 374, 782, 841, 246 |
17 | 767, 187, 391, 841, 123 |
767, 11, 23, 841, 123 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 767 x 11 x 23 x 841 x 123 = 682489398162
Therefore, the lowest common multiple of 767,374,782,841,246 is 682489398162.
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.
767 x 374 x 782 x 841 x 246 = 46409279075016
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.
767 : 1, 13, 59, 767
374 : 1, 2, 11, 17, 22, 34, 187, 374
782 : 1, 2, 17, 23, 34, 46, 391, 782
841 : 1, 29, 841
246 : 1, 2, 3, 6, 41, 82, 123, 246
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,374,782,841,246, is 1.
Now, the common factors can be found like this.
767:13x 59
374:2x 11x 17
782:2x 17x 23
841:29x 29
246:2x 3x 41
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 17 = 68
Therefore, the value for common factors is 68.
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 = 46409279075016/(1x68)
LCM = 46409279075016/68
LCM = 682489398162
Thus, we can understand that the LCM of 767,374,782,841,246 is 682489398162.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 767, 374, 782, 841, 246?
Answer: LCM of 767, 374, 782, 841, 246 is 682489398162.
2. How to calculate the LCM of 767, 374, 782, 841, 246?
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 767, 374, 782, 841, 246.
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}.