LCM of 905, 708, 590, 511, 646
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 905, 708, 590, 511, 646 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 905, 708, 590, 511, 646. So, keep reading to learn more.
Given numbers are 905,708,590,511,646
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 905,708,590,511,646 is 105756059220.
Find LCM of 905,708,590,511,646 with Prime Factorization
| 2 | 905, 708, 590, 511, 646 |
| 5 | 905, 354, 295, 511, 323 |
| 59 | 181, 354, 59, 511, 323 |
| 181, 6, 1, 511, 323 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 59 x 181 x 6 x 1 x 511 x 323 = 105756059220
Therefore, the lowest common multiple of 905,708,590,511,646 is 105756059220.
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.
905 x 708 x 590 x 511 x 646 = 124792149879600
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.
905 : 1, 5, 181, 905
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
590 : 1, 2, 5, 10, 59, 118, 295, 590
511 : 1, 7, 73, 511
646 : 1, 2, 17, 19, 34, 38, 323, 646
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 905,708,590,511,646, is 1.
Now, the common factors can be found like this.
905:5x 181
708:2x 2x 3x 59
590:2x 5x 59
511:7x 73
646:2x 17x 19
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 5x 59 = 1180
Therefore, the value for common factors is 1180.
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 = 124792149879600/(1x1180)
LCM = 124792149879600/1180
LCM = 105756059220
Thus, we can understand that the LCM of 905,708,590,511,646 is 105756059220.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 905, 708, 590, 511, 646
1. What is the LCM of 905, 708, 590, 511, 646?
Answer: LCM of 905, 708, 590, 511, 646 is 105756059220.
2. How to calculate the LCM of 905, 708, 590, 511, 646?
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 905, 708, 590, 511, 646.
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}.