LCM of 748, 413, 847, 323, 568
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 748, 413, 847, 323, 568 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 748, 413, 847, 323, 568. So, keep reading to learn more.
Given numbers are 748,413,847,323,568
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 748,413,847,323,568 is 9168246472.
Find LCM of 748,413,847,323,568 with Prime Factorization
| 2 | 748, 413, 847, 323, 568 |
| 2 | 374, 413, 847, 323, 284 |
| 7 | 187, 413, 847, 323, 142 |
| 11 | 187, 59, 121, 323, 142 |
| 17 | 17, 59, 11, 323, 142 |
| 1, 59, 11, 19, 142 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 17 x 1 x 59 x 11 x 19 x 142 = 9168246472
Therefore, the lowest common multiple of 748,413,847,323,568 is 9168246472.
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.
748 x 413 x 847 x 323 x 568 = 48004938527392
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.
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
413 : 1, 7, 59, 413
847 : 1, 7, 11, 77, 121, 847
323 : 1, 17, 19, 323
568 : 1, 2, 4, 8, 71, 142, 284, 568
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,413,847,323,568, is 1.
Now, the common factors can be found like this.
748:2x 2x 11x 17
413:7x 59
847:7x 11x 11
323:17x 19
568:2x 2x 2x 71
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 7x 11x 17 = 5236
Therefore, the value for common factors is 5236.
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 = 48004938527392/(1x5236)
LCM = 48004938527392/5236
LCM = 9168246472
Thus, we can understand that the LCM of 748,413,847,323,568 is 9168246472.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 748, 413, 847, 323, 568
1. What is the LCM of 748, 413, 847, 323, 568?
Answer: LCM of 748, 413, 847, 323, 568 is 9168246472.
2. How to calculate the LCM of 748, 413, 847, 323, 568?
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 748, 413, 847, 323, 568.
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}.