LCM of 934, 559, 470, 390, 627
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 934, 559, 470, 390, 627 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 934, 559, 470, 390, 627. So, keep reading to learn more.
Given numbers are 934,559,470,390,627
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 934,559,470,390,627 is 76929708570.
Find LCM of 934,559,470,390,627 with Prime Factorization
| 2 | 934, 559, 470, 390, 627 |
| 3 | 467, 559, 235, 195, 627 |
| 5 | 467, 559, 235, 65, 209 |
| 13 | 467, 559, 47, 13, 209 |
| 467, 43, 47, 1, 209 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 467 x 43 x 47 x 1 x 209 = 76929708570
Therefore, the lowest common multiple of 934,559,470,390,627 is 76929708570.
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.
934 x 559 x 470 x 390 x 627 = 60005172684600
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.
934 : 1, 2, 467, 934
559 : 1, 13, 43, 559
470 : 1, 2, 5, 10, 47, 94, 235, 470
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
627 : 1, 3, 11, 19, 33, 57, 209, 627
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 934,559,470,390,627, is 1.
Now, the common factors can be found like this.
934:2x 467
559:13x 43
470:2x 5x 47
390:2x 3x 5x 13
627:3x 11x 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 3x 5x 13 = 780
Therefore, the value for common factors is 780.
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 = 60005172684600/(1x780)
LCM = 60005172684600/780
LCM = 76929708570
Thus, we can understand that the LCM of 934,559,470,390,627 is 76929708570.
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FAQs on LCM of 934, 559, 470, 390, 627
1. What is the LCM of 934, 559, 470, 390, 627?
Answer: LCM of 934, 559, 470, 390, 627 is 76929708570.
2. How to calculate the LCM of 934, 559, 470, 390, 627?
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 934, 559, 470, 390, 627.
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}.