LCM of 717, 635, 688, 240, 895
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 717, 635, 688, 240, 895 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 717, 635, 688, 240, 895. So, keep reading to learn more.
Given numbers are 717,635,688,240,895
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 717,635,688,240,895 is 56070489840.
Find LCM of 717,635,688,240,895 with Prime Factorization
| 2 | 717, 635, 688, 240, 895 |
| 2 | 717, 635, 344, 120, 895 |
| 2 | 717, 635, 172, 60, 895 |
| 2 | 717, 635, 86, 30, 895 |
| 3 | 717, 635, 43, 15, 895 |
| 5 | 239, 635, 43, 5, 895 |
| 239, 127, 43, 1, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 239 x 127 x 43 x 1 x 179 = 56070489840
Therefore, the lowest common multiple of 717,635,688,240,895 is 56070489840.
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.
717 x 635 x 688 x 240 x 895 = 67284587808000
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.
717 : 1, 3, 239, 717
635 : 1, 5, 127, 635
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
895 : 1, 5, 179, 895
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,635,688,240,895, is 1.
Now, the common factors can be found like this.
717:3x 239
635:5x 127
688:2x 2x 2x 2x 43
240:2x 2x 2x 2x 3x 5
895:5x 179
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 5 = 1200
Therefore, the value for common factors is 1200.
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 = 67284587808000/(1x1200)
LCM = 67284587808000/1200
LCM = 56070489840
Thus, we can understand that the LCM of 717,635,688,240,895 is 56070489840.
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FAQs on LCM of 717, 635, 688, 240, 895
1. What is the LCM of 717, 635, 688, 240, 895?
Answer: LCM of 717, 635, 688, 240, 895 is 56070489840.
2. How to calculate the LCM of 717, 635, 688, 240, 895?
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 717, 635, 688, 240, 895.
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}.