LCM of 592, 468, 929, 313, 742
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 592, 468, 929, 313, 742 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, 468, 929, 313, 742. So, keep reading to learn more.
Given numbers are 592,468,929,313,742
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 592,468,929,313,742 is 7472080285488.
Find LCM of 592,468,929,313,742 with Prime Factorization
| 2 | 592, 468, 929, 313, 742 |
| 2 | 296, 234, 929, 313, 371 |
| 148, 117, 929, 313, 371 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 148 x 117 x 929 x 313 x 371 = 7472080285488
Therefore, the lowest common multiple of 592,468,929,313,742 is 7472080285488.
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 468 x 929 x 313 x 742 = 59776642283904
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
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
929 : 1, 929
313 : 1, 313
742 : 1, 2, 7, 14, 53, 106, 371, 742
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 592,468,929,313,742, is 1.
Now, the common factors can be found like this.
592:2x 2x 2x 2x 37
468:2x 2x 3x 3x 13
929:929
313:313
742:2x 7x 53
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 2 = 8
Therefore, the value for common factors is 8.
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 = 59776642283904/(1x8)
LCM = 59776642283904/8
LCM = 7472080285488
Thus, we can understand that the LCM of 592,468,929,313,742 is 7472080285488.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 592, 468, 929, 313, 742
1. What is the LCM of 592, 468, 929, 313, 742?
Answer: LCM of 592, 468, 929, 313, 742 is 7472080285488.
2. How to calculate the LCM of 592, 468, 929, 313, 742?
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, 468, 929, 313, 742.
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}.