LCM of 702, 906, 755, 772, 880
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 702, 906, 755, 772, 880 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 702, 906, 755, 772, 880. So, keep reading to learn more.
Given numbers are 702,906,755,772,880
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 702,906,755,772,880 is 9001689840.
Find LCM of 702,906,755,772,880 with Prime Factorization
| 2 | 702, 906, 755, 772, 880 |
| 2 | 351, 453, 755, 386, 440 |
| 3 | 351, 453, 755, 193, 220 |
| 5 | 117, 151, 755, 193, 220 |
| 151 | 117, 151, 151, 193, 44 |
| 117, 1, 1, 193, 44 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 151 x 117 x 1 x 1 x 193 x 44 = 9001689840
Therefore, the lowest common multiple of 702,906,755,772,880 is 9001689840.
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.
702 x 906 x 755 x 772 x 880 = 326221239801600
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.
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
906 : 1, 2, 3, 6, 151, 302, 453, 906
755 : 1, 5, 151, 755
772 : 1, 2, 4, 193, 386, 772
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,906,755,772,880, is 1.
Now, the common factors can be found like this.
702:2x 3x 3x 3x 13
906:2x 3x 151
755:5x 151
772:2x 2x 193
880:2x 2x 2x 2x 5x 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 3x 5x 151 = 36240
Therefore, the value for common factors is 36240.
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 = 326221239801600/(1x36240)
LCM = 326221239801600/36240
LCM = 9001689840
Thus, we can understand that the LCM of 702,906,755,772,880 is 9001689840.
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FAQs on LCM of 702, 906, 755, 772, 880
1. What is the LCM of 702, 906, 755, 772, 880?
Answer: LCM of 702, 906, 755, 772, 880 is 9001689840.
2. How to calculate the LCM of 702, 906, 755, 772, 880?
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 702, 906, 755, 772, 880.
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}.