LCM of 752, 469, 377, 714, 799
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 752, 469, 377, 714, 799 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 752, 469, 377, 714, 799. So, keep reading to learn more.
Given numbers are 752,469,377,714,799
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 752,469,377,714,799 is 6781132176.
Find LCM of 752,469,377,714,799 with Prime Factorization
| 2 | 752, 469, 377, 714, 799 |
| 7 | 376, 469, 377, 357, 799 |
| 17 | 376, 67, 377, 51, 799 |
| 47 | 376, 67, 377, 3, 47 |
| 8, 67, 377, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 17 x 47 x 8 x 67 x 377 x 3 x 1 = 6781132176
Therefore, the lowest common multiple of 752,469,377,714,799 is 6781132176.
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.
752 x 469 x 377 x 714 x 799 = 75853744520736
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.
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
469 : 1, 7, 67, 469
377 : 1, 13, 29, 377
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
799 : 1, 17, 47, 799
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 752,469,377,714,799, is 1.
Now, the common factors can be found like this.
752:2x 2x 2x 2x 47
469:7x 67
377:13x 29
714:2x 3x 7x 17
799:17x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 17x 47 = 11186
Therefore, the value for common factors is 11186.
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 = 75853744520736/(1x11186)
LCM = 75853744520736/11186
LCM = 6781132176
Thus, we can understand that the LCM of 752,469,377,714,799 is 6781132176.
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FAQs on LCM of 752, 469, 377, 714, 799
1. What is the LCM of 752, 469, 377, 714, 799?
Answer: LCM of 752, 469, 377, 714, 799 is 6781132176.
2. How to calculate the LCM of 752, 469, 377, 714, 799?
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 752, 469, 377, 714, 799.
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}.