Find the LCM of 746, 517, 517, 141 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 746, 517, 517, 141. So, keep reading to learn more.
Given numbers are 746,517,517,141
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 746,517,517,141 is 1157046.
Find LCM of 746,517,517,141 with Prime Factorization
11 | 746, 517, 517, 141 |
47 | 746, 47, 47, 141 |
746, 1, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
11 x 47 x 746 x 1 x 1 x 3 = 1157046
Therefore, the lowest common multiple of 746,517,517,141 is 1157046.
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.
746 x 517 x 517 x 141 = 28115060754
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.
746 : 1, 2, 373, 746
517 : 1, 11, 47, 517
517 : 1, 11, 47, 517
141 : 1, 3, 47, 141
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,517,517,141, is 1.
Now, the common factors can be found like this.
746:2x 373
517:11x 47
517:11x 47
141:3x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 47x 47 = 24299
Therefore, the value for common factors is 24299.
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 = 28115060754/(1x24299)
LCM = 28115060754/24299
LCM = 1157046
Thus, we can understand that the LCM of 746,517,517,141 is 1157046.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 746, 517, 517, 141?
Answer: LCM of 746, 517, 517, 141 is 1157046.
2. How to calculate the LCM of 746, 517, 517, 141?
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 746, 517, 517, 141.
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}.