Find the LCM of 591, 318, 723, 132, 746 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 591, 318, 723, 132, 746. So, keep reading to learn more.
Given numbers are 591,318,723,132,746
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 591,318,723,132,746 is 123891611316.
Find LCM of 591,318,723,132,746 with Prime Factorization
2 | 591, 318, 723, 132, 746 |
3 | 591, 159, 723, 66, 373 |
197, 53, 241, 22, 373 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 197 x 53 x 241 x 22 x 373 = 123891611316
Therefore, the lowest common multiple of 591,318,723,132,746 is 123891611316.
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.
591 x 318 x 723 x 132 x 746 = 13380294022128
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.
591 : 1, 3, 197, 591
318 : 1, 2, 3, 6, 53, 106, 159, 318
723 : 1, 3, 241, 723
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
746 : 1, 2, 373, 746
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,318,723,132,746, is 1.
Now, the common factors can be found like this.
591:3x 197
318:2x 3x 53
723:3x 241
132:2x 2x 3x 11
746:2x 373
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 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 13380294022128/(1x108)
LCM = 13380294022128/108
LCM = 123891611316
Thus, we can understand that the LCM of 591,318,723,132,746 is 123891611316.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 591, 318, 723, 132, 746?
Answer: LCM of 591, 318, 723, 132, 746 is 123891611316.
2. How to calculate the LCM of 591, 318, 723, 132, 746?
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 591, 318, 723, 132, 746.
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}.