LCM of 705, 259, 750, 684, 917
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 705, 259, 750, 684, 917 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 705, 259, 750, 684, 917. So, keep reading to learn more.
Given numbers are 705,259,750,684,917
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,259,750,684,917 is 136343686500.
Find LCM of 705,259,750,684,917 with Prime Factorization
| 2 | 705, 259, 750, 684, 917 |
| 3 | 705, 259, 375, 342, 917 |
| 5 | 235, 259, 125, 114, 917 |
| 7 | 47, 259, 25, 114, 917 |
| 47, 37, 25, 114, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 47 x 37 x 25 x 114 x 131 = 136343686500
Therefore, the lowest common multiple of 705,259,750,684,917 is 136343686500.
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.
705 x 259 x 750 x 684 x 917 = 85896522495000
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.
705 : 1, 3, 5, 15, 47, 141, 235, 705
259 : 1, 7, 37, 259
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
917 : 1, 7, 131, 917
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,259,750,684,917, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
259:7x 37
750:2x 3x 5x 5x 5
684:2x 2x 3x 3x 19
917:7x 131
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 7 = 630
Therefore, the value for common factors is 630.
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 = 85896522495000/(1x630)
LCM = 85896522495000/630
LCM = 136343686500
Thus, we can understand that the LCM of 705,259,750,684,917 is 136343686500.
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FAQs on LCM of 705, 259, 750, 684, 917
1. What is the LCM of 705, 259, 750, 684, 917?
Answer: LCM of 705, 259, 750, 684, 917 is 136343686500.
2. How to calculate the LCM of 705, 259, 750, 684, 917?
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 705, 259, 750, 684, 917.
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}.