LCM of 834, 730, 634, 570, 531
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 834, 730, 634, 570, 531 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 834, 730, 634, 570, 531. So, keep reading to learn more.
Given numbers are 834,730,634,570,531
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 834,730,634,570,531 is 324522673110.
Find LCM of 834,730,634,570,531 with Prime Factorization
| 2 | 834, 730, 634, 570, 531 |
| 3 | 417, 365, 317, 285, 531 |
| 5 | 139, 365, 317, 95, 177 |
| 139, 73, 317, 19, 177 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 139 x 73 x 317 x 19 x 177 = 324522673110
Therefore, the lowest common multiple of 834,730,634,570,531 is 324522673110.
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.
834 x 730 x 634 x 570 x 531 = 116828162319600
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.
834 : 1, 2, 3, 6, 139, 278, 417, 834
730 : 1, 2, 5, 10, 73, 146, 365, 730
634 : 1, 2, 317, 634
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
531 : 1, 3, 9, 59, 177, 531
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,730,634,570,531, is 1.
Now, the common factors can be found like this.
834:2x 3x 139
730:2x 5x 73
634:2x 317
570:2x 3x 5x 19
531:3x 3x 59
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 3x 5 = 360
Therefore, the value for common factors is 360.
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 = 116828162319600/(1x360)
LCM = 116828162319600/360
LCM = 324522673110
Thus, we can understand that the LCM of 834,730,634,570,531 is 324522673110.
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FAQs on LCM of 834, 730, 634, 570, 531
1. What is the LCM of 834, 730, 634, 570, 531?
Answer: LCM of 834, 730, 634, 570, 531 is 324522673110.
2. How to calculate the LCM of 834, 730, 634, 570, 531?
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 834, 730, 634, 570, 531.
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}.