Find the LCM of 592, 226, 746, 471, 763 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 592, 226, 746, 471, 763. So, keep reading to learn more.
Given numbers are 592,226,746,471,763
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 592,226,746,471,763 is 8967149845584.
Find LCM of 592,226,746,471,763 with Prime Factorization
2 | 592, 226, 746, 471, 763 |
296, 113, 373, 471, 763 |
Multiply the prime numbers at the bottom and the left side.
2 x 296 x 113 x 373 x 471 x 763 = 8967149845584
Therefore, the lowest common multiple of 592,226,746,471,763 is 8967149845584.
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.
592 x 226 x 746 x 471 x 763 = 35868599382336
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.
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
226 : 1, 2, 113, 226
746 : 1, 2, 373, 746
471 : 1, 3, 157, 471
763 : 1, 7, 109, 763
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 592,226,746,471,763, is 1.
Now, the common factors can be found like this.
592:2x 2x 2x 2x 37
226:2x 113
746:2x 373
471:3x 157
763:7x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 35868599382336/(1x4)
LCM = 35868599382336/4
LCM = 8967149845584
Thus, we can understand that the LCM of 592,226,746,471,763 is 8967149845584.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 592, 226, 746, 471, 763?
Answer: LCM of 592, 226, 746, 471, 763 is 8967149845584.
2. How to calculate the LCM of 592, 226, 746, 471, 763?
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 592, 226, 746, 471, 763.
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}.