Find the LCM of 376, 786, 786, 294, 101 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 376, 786, 786, 294, 101. So, keep reading to learn more.
Given numbers are 376,786,786,294,101
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 376,786,786,294,101 is 731303832.
Find LCM of 376,786,786,294,101 with Prime Factorization
2 | 376, 786, 786, 294, 101 |
3 | 188, 393, 393, 147, 101 |
131 | 188, 131, 131, 49, 101 |
188, 1, 1, 49, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 131 x 188 x 1 x 1 x 49 x 101 = 731303832
Therefore, the lowest common multiple of 376,786,786,294,101 is 731303832.
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.
376 x 786 x 786 x 294 x 101 = 6897657743424
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.
376 : 1, 2, 4, 8, 47, 94, 188, 376
786 : 1, 2, 3, 6, 131, 262, 393, 786
786 : 1, 2, 3, 6, 131, 262, 393, 786
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
101 : 1, 101
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 376,786,786,294,101, is 1.
Now, the common factors can be found like this.
376:2x 2x 2x 47
786:2x 3x 131
786:2x 3x 131
294:2x 3x 7x 7
101:101
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 3x 131 = 9432
Therefore, the value for common factors is 9432.
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 = 6897657743424/(1x9432)
LCM = 6897657743424/9432
LCM = 731303832
Thus, we can understand that the LCM of 376,786,786,294,101 is 731303832.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 376, 786, 786, 294, 101?
Answer: LCM of 376, 786, 786, 294, 101 is 731303832.
2. How to calculate the LCM of 376, 786, 786, 294, 101?
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 376, 786, 786, 294, 101.
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}.