LCM of 799, 240, 757, 752, 352
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 799, 240, 757, 752, 352 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 799, 240, 757, 752, 352. So, keep reading to learn more.
Given numbers are 799,240,757,752,352
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 799,240,757,752,352 is 3193571040.
Find LCM of 799,240,757,752,352 with Prime Factorization
| 2 | 799, 240, 757, 752, 352 |
| 2 | 799, 120, 757, 376, 176 |
| 2 | 799, 60, 757, 188, 88 |
| 2 | 799, 30, 757, 94, 44 |
| 47 | 799, 15, 757, 47, 22 |
| 17, 15, 757, 1, 22 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 47 x 17 x 15 x 757 x 1 x 22 = 3193571040
Therefore, the lowest common multiple of 799,240,757,752,352 is 3193571040.
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.
799 x 240 x 757 x 752 x 352 = 38425046753280
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.
799 : 1, 17, 47, 799
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
757 : 1, 757
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 799,240,757,752,352, is 1.
Now, the common factors can be found like this.
799:17x 47
240:2x 2x 2x 2x 3x 5
757:757
752:2x 2x 2x 2x 47
352:2x 2x 2x 2x 2x 11
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 2x 2x 2x 2x 2x 2x 47 = 12032
Therefore, the value for common factors is 12032.
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 = 38425046753280/(1x12032)
LCM = 38425046753280/12032
LCM = 3193571040
Thus, we can understand that the LCM of 799,240,757,752,352 is 3193571040.
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FAQs on LCM of 799, 240, 757, 752, 352
1. What is the LCM of 799, 240, 757, 752, 352?
Answer: LCM of 799, 240, 757, 752, 352 is 3193571040.
2. How to calculate the LCM of 799, 240, 757, 752, 352?
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 799, 240, 757, 752, 352.
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}.