Find the LCM of 246, 138, 143, 961, 345 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 246, 138, 143, 961, 345. So, keep reading to learn more.
Given numbers are 246,138,143,961,345
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 246,138,143,961,345 is 3887696670.
Find LCM of 246,138,143,961,345 with Prime Factorization
2 | 246, 138, 143, 961, 345 |
3 | 123, 69, 143, 961, 345 |
23 | 41, 23, 143, 961, 115 |
41, 1, 143, 961, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 41 x 1 x 143 x 961 x 5 = 3887696670
Therefore, the lowest common multiple of 246,138,143,961,345 is 3887696670.
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.
246 x 138 x 143 x 961 x 345 = 1609506421380
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.
246 : 1, 2, 3, 6, 41, 82, 123, 246
138 : 1, 2, 3, 6, 23, 46, 69, 138
143 : 1, 11, 13, 143
961 : 1, 31, 961
345 : 1, 3, 5, 15, 23, 69, 115, 345
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 246,138,143,961,345, is 1.
Now, the common factors can be found like this.
246:2x 3x 41
138:2x 3x 23
143:11x 13
961:31x 31
345:3x 5x 23
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 3x 23 = 414
Therefore, the value for common factors is 414.
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 = 1609506421380/(1x414)
LCM = 1609506421380/414
LCM = 3887696670
Thus, we can understand that the LCM of 246,138,143,961,345 is 3887696670.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 246, 138, 143, 961, 345?
Answer: LCM of 246, 138, 143, 961, 345 is 3887696670.
2. How to calculate the LCM of 246, 138, 143, 961, 345?
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 246, 138, 143, 961, 345.
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}.