LCM of 650, 727, 462, 910, 910
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 650, 727, 462, 910, 910 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 650, 727, 462, 910, 910. So, keep reading to learn more.
Given numbers are 650,727,462,910,910
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 650,727,462,910,910 is 109159050.
Find LCM of 650,727,462,910,910 with Prime Factorization
| 2 | 650, 727, 462, 910, 910 |
| 5 | 325, 727, 231, 455, 455 |
| 7 | 65, 727, 231, 91, 91 |
| 13 | 65, 727, 33, 13, 13 |
| 5, 727, 33, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 13 x 5 x 727 x 33 x 1 x 1 = 109159050
Therefore, the lowest common multiple of 650,727,462,910,910 is 109159050.
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.
650 x 727 x 462 x 910 x 910 = 180789218610000
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.
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
727 : 1, 727
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 650,727,462,910,910, is 1.
Now, the common factors can be found like this.
650:2x 5x 5x 13
727:727
462:2x 3x 7x 11
910:2x 5x 7x 13
910:2x 5x 7x 13
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 5x 5x 7x 7x 13x 13 = 1656200
Therefore, the value for common factors is 1656200.
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 = 180789218610000/(1x1656200)
LCM = 180789218610000/1656200
LCM = 109159050
Thus, we can understand that the LCM of 650,727,462,910,910 is 109159050.
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FAQs on LCM of 650, 727, 462, 910, 910
1. What is the LCM of 650, 727, 462, 910, 910?
Answer: LCM of 650, 727, 462, 910, 910 is 109159050.
2. How to calculate the LCM of 650, 727, 462, 910, 910?
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 650, 727, 462, 910, 910.
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}.