LCM of 930, 508, 749, 806, 539
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 930, 508, 749, 806, 539 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 930, 508, 749, 806, 539. So, keep reading to learn more.
Given numbers are 930,508,749,806,539
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 930,508,749,806,539 is 177105708780.
Find LCM of 930,508,749,806,539 with Prime Factorization
| 2 | 930, 508, 749, 806, 539 |
| 7 | 465, 254, 749, 403, 539 |
| 31 | 465, 254, 107, 403, 77 |
| 15, 254, 107, 13, 77 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 31 x 15 x 254 x 107 x 13 x 77 = 177105708780
Therefore, the lowest common multiple of 930,508,749,806,539 is 177105708780.
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.
930 x 508 x 749 x 806 x 539 = 153727755221040
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.
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
508 : 1, 2, 4, 127, 254, 508
749 : 1, 7, 107, 749
806 : 1, 2, 13, 26, 31, 62, 403, 806
539 : 1, 7, 11, 49, 77, 539
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,508,749,806,539, is 1.
Now, the common factors can be found like this.
930:2x 3x 5x 31
508:2x 2x 127
749:7x 107
806:2x 13x 31
539:7x 7x 11
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 7x 31 = 868
Therefore, the value for common factors is 868.
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 = 153727755221040/(1x868)
LCM = 153727755221040/868
LCM = 177105708780
Thus, we can understand that the LCM of 930,508,749,806,539 is 177105708780.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 930, 508, 749, 806, 539
1. What is the LCM of 930, 508, 749, 806, 539?
Answer: LCM of 930, 508, 749, 806, 539 is 177105708780.
2. How to calculate the LCM of 930, 508, 749, 806, 539?
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 930, 508, 749, 806, 539.
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}.