LCM of 930, 321, 947, 589, 722
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 930, 321, 947, 589, 722 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, 321, 947, 589, 722. So, keep reading to learn more.
Given numbers are 930,321,947,589,722
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 930,321,947,589,722 is 34019185170.
Find LCM of 930,321,947,589,722 with Prime Factorization
| 2 | 930, 321, 947, 589, 722 |
| 3 | 465, 321, 947, 589, 361 |
| 19 | 155, 107, 947, 589, 361 |
| 31 | 155, 107, 947, 31, 19 |
| 5, 107, 947, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 31 x 5 x 107 x 947 x 1 x 19 = 34019185170
Therefore, the lowest common multiple of 930,321,947,589,722 is 34019185170.
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 321 x 947 x 589 x 722 = 120223800390780
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
321 : 1, 3, 107, 321
947 : 1, 947
589 : 1, 19, 31, 589
722 : 1, 2, 19, 38, 361, 722
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,321,947,589,722, is 1.
Now, the common factors can be found like this.
930:2x 3x 5x 31
321:3x 107
947:947
589:19x 31
722:2x 19x 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 3x 19x 31 = 3534
Therefore, the value for common factors is 3534.
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 = 120223800390780/(1x3534)
LCM = 120223800390780/3534
LCM = 34019185170
Thus, we can understand that the LCM of 930,321,947,589,722 is 34019185170.
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FAQs on LCM of 930, 321, 947, 589, 722
1. What is the LCM of 930, 321, 947, 589, 722?
Answer: LCM of 930, 321, 947, 589, 722 is 34019185170.
2. How to calculate the LCM of 930, 321, 947, 589, 722?
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, 321, 947, 589, 722.
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}.