LCM of 214, 580, 517, 506, 377
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 214, 580, 517, 506, 377 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 214, 580, 517, 506, 377. So, keep reading to learn more.
Given numbers are 214,580,517,506,377
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 214,580,517,506,377 is 9593420980.
Find LCM of 214,580,517,506,377 with Prime Factorization
| 2 | 214, 580, 517, 506, 377 |
| 11 | 107, 290, 517, 253, 377 |
| 29 | 107, 290, 47, 23, 377 |
| 107, 10, 47, 23, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 29 x 107 x 10 x 47 x 23 x 13 = 9593420980
Therefore, the lowest common multiple of 214,580,517,506,377 is 9593420980.
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.
214 x 580 x 517 x 506 x 377 = 12241205170480
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.
214 : 1, 2, 107, 214
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
517 : 1, 11, 47, 517
506 : 1, 2, 11, 22, 23, 46, 253, 506
377 : 1, 13, 29, 377
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,580,517,506,377, is 1.
Now, the common factors can be found like this.
214:2x 107
580:2x 2x 5x 29
517:11x 47
506:2x 11x 23
377:13x 29
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 11x 29 = 1276
Therefore, the value for common factors is 1276.
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 = 12241205170480/(1x1276)
LCM = 12241205170480/1276
LCM = 9593420980
Thus, we can understand that the LCM of 214,580,517,506,377 is 9593420980.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 214, 580, 517, 506, 377
1. What is the LCM of 214, 580, 517, 506, 377?
Answer: LCM of 214, 580, 517, 506, 377 is 9593420980.
2. How to calculate the LCM of 214, 580, 517, 506, 377?
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 214, 580, 517, 506, 377.
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}.