Find the LCM of 364, 667, 147, 687, 754 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 364, 667, 147, 687, 754. So, keep reading to learn more.
Given numbers are 364,667,147,687,754
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 364,667,147,687,754 is 1167567492.
Find LCM of 364,667,147,687,754 with Prime Factorization
2 | 364, 667, 147, 687, 754 |
3 | 182, 667, 147, 687, 377 |
7 | 182, 667, 49, 229, 377 |
13 | 26, 667, 7, 229, 377 |
29 | 2, 667, 7, 229, 29 |
2, 23, 7, 229, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 29 x 2 x 23 x 7 x 229 x 1 = 1167567492
Therefore, the lowest common multiple of 364,667,147,687,754 is 1167567492.
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.
364 x 667 x 147 x 687 x 754 = 18487263668328
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.
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
667 : 1, 23, 29, 667
147 : 1, 3, 7, 21, 49, 147
687 : 1, 3, 229, 687
754 : 1, 2, 13, 26, 29, 58, 377, 754
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,667,147,687,754, is 1.
Now, the common factors can be found like this.
364:2x 2x 7x 13
667:23x 29
147:3x 7x 7
687:3x 229
754:2x 13x 29
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 7x 13x 29 = 15834
Therefore, the value for common factors is 15834.
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 = 18487263668328/(1x15834)
LCM = 18487263668328/15834
LCM = 1167567492
Thus, we can understand that the LCM of 364,667,147,687,754 is 1167567492.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 364, 667, 147, 687, 754?
Answer: LCM of 364, 667, 147, 687, 754 is 1167567492.
2. How to calculate the LCM of 364, 667, 147, 687, 754?
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 364, 667, 147, 687, 754.
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}.