Find the LCM of 376, 754, 507, 611, 166 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, 754, 507, 611, 166. So, keep reading to learn more.
Given numbers are 376,754,507,611,166
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 376,754,507,611,166 is 458851224.
Find LCM of 376,754,507,611,166 with Prime Factorization
2 | 376, 754, 507, 611, 166 |
13 | 188, 377, 507, 611, 83 |
47 | 188, 29, 39, 47, 83 |
4, 29, 39, 1, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 47 x 4 x 29 x 39 x 1 x 83 = 458851224
Therefore, the lowest common multiple of 376,754,507,611,166 is 458851224.
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 754 x 507 x 611 x 166 = 14578621088928
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
754 : 1, 2, 13, 26, 29, 58, 377, 754
507 : 1, 3, 13, 39, 169, 507
611 : 1, 13, 47, 611
166 : 1, 2, 83, 166
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 376,754,507,611,166, is 1.
Now, the common factors can be found like this.
376:2x 2x 2x 47
754:2x 13x 29
507:3x 13x 13
611:13x 47
166:2x 83
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 13x 13x 47 = 31772
Therefore, the value for common factors is 31772.
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 = 14578621088928/(1x31772)
LCM = 14578621088928/31772
LCM = 458851224
Thus, we can understand that the LCM of 376,754,507,611,166 is 458851224.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 376, 754, 507, 611, 166?
Answer: LCM of 376, 754, 507, 611, 166 is 458851224.
2. How to calculate the LCM of 376, 754, 507, 611, 166?
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, 754, 507, 611, 166.
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}.