LCM of 703, 876, 670, 868, 518
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 703, 876, 670, 868, 518 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 703, 876, 670, 868, 518. So, keep reading to learn more.
Given numbers are 703,876,670,868,518
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 703,876,670,868,518 is 44767616460.
Find LCM of 703,876,670,868,518 with Prime Factorization
| 2 | 703, 876, 670, 868, 518 |
| 2 | 703, 438, 335, 434, 259 |
| 7 | 703, 219, 335, 217, 259 |
| 37 | 703, 219, 335, 31, 37 |
| 19, 219, 335, 31, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 37 x 19 x 219 x 335 x 31 x 1 = 44767616460
Therefore, the lowest common multiple of 703,876,670,868,518 is 44767616460.
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.
703 x 876 x 670 x 868 x 518 = 185517002610240
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.
703 : 1, 19, 37, 703
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
670 : 1, 2, 5, 10, 67, 134, 335, 670
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
518 : 1, 2, 7, 14, 37, 74, 259, 518
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 703,876,670,868,518, is 1.
Now, the common factors can be found like this.
703:19x 37
876:2x 2x 3x 73
670:2x 5x 67
868:2x 2x 7x 31
518:2x 7x 37
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 7x 37 = 4144
Therefore, the value for common factors is 4144.
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 = 185517002610240/(1x4144)
LCM = 185517002610240/4144
LCM = 44767616460
Thus, we can understand that the LCM of 703,876,670,868,518 is 44767616460.
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FAQs on LCM of 703, 876, 670, 868, 518
1. What is the LCM of 703, 876, 670, 868, 518?
Answer: LCM of 703, 876, 670, 868, 518 is 44767616460.
2. How to calculate the LCM of 703, 876, 670, 868, 518?
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 703, 876, 670, 868, 518.
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}.