LCM of 910, 170, 714, 609, 782
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 910, 170, 714, 609, 782 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 910, 170, 714, 609, 782. So, keep reading to learn more.
Given numbers are 910,170,714,609,782
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 910,170,714,609,782 is 30955470.
Find LCM of 910,170,714,609,782 with Prime Factorization
| 2 | 910, 170, 714, 609, 782 |
| 3 | 455, 85, 357, 609, 391 |
| 5 | 455, 85, 119, 203, 391 |
| 7 | 91, 17, 119, 203, 391 |
| 17 | 13, 17, 17, 29, 391 |
| 13, 1, 1, 29, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 17 x 13 x 1 x 1 x 29 x 23 = 30955470
Therefore, the lowest common multiple of 910,170,714,609,782 is 30955470.
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.
910 x 170 x 714 x 609 x 782 = 52603249280400
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.
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
170 : 1, 2, 5, 10, 17, 34, 85, 170
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
609 : 1, 3, 7, 21, 29, 87, 203, 609
782 : 1, 2, 17, 23, 34, 46, 391, 782
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,170,714,609,782, is 1.
Now, the common factors can be found like this.
910:2x 5x 7x 13
170:2x 5x 17
714:2x 3x 7x 17
609:3x 7x 29
782:2x 17x 23
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 3x 5x 7x 7x 17x 17 = 1699320
Therefore, the value for common factors is 1699320.
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 = 52603249280400/(1x1699320)
LCM = 52603249280400/1699320
LCM = 30955470
Thus, we can understand that the LCM of 910,170,714,609,782 is 30955470.
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FAQs on LCM of 910, 170, 714, 609, 782
1. What is the LCM of 910, 170, 714, 609, 782?
Answer: LCM of 910, 170, 714, 609, 782 is 30955470.
2. How to calculate the LCM of 910, 170, 714, 609, 782?
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 910, 170, 714, 609, 782.
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}.