LCM of 184, 870, 667, 539, 938
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 184, 870, 667, 539, 938 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 184, 870, 667, 539, 938. So, keep reading to learn more.
Given numbers are 184,870,667,539,938
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 184,870,667,539,938 is 2890484520.
Find LCM of 184,870,667,539,938 with Prime Factorization
| 2 | 184, 870, 667, 539, 938 |
| 7 | 92, 435, 667, 539, 469 |
| 23 | 92, 435, 667, 77, 67 |
| 29 | 4, 435, 29, 77, 67 |
| 4, 15, 1, 77, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 23 x 29 x 4 x 15 x 1 x 77 x 67 = 2890484520
Therefore, the lowest common multiple of 184,870,667,539,938 is 2890484520.
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.
184 x 870 x 667 x 539 x 938 = 53982688895520
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.
184 : 1, 2, 4, 8, 23, 46, 92, 184
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
667 : 1, 23, 29, 667
539 : 1, 7, 11, 49, 77, 539
938 : 1, 2, 7, 14, 67, 134, 469, 938
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 184,870,667,539,938, is 1.
Now, the common factors can be found like this.
184:2x 2x 2x 23
870:2x 3x 5x 29
667:23x 29
539:7x 7x 11
938:2x 7x 67
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 23x 29 = 18676
Therefore, the value for common factors is 18676.
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 = 53982688895520/(1x18676)
LCM = 53982688895520/18676
LCM = 2890484520
Thus, we can understand that the LCM of 184,870,667,539,938 is 2890484520.
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FAQs on LCM of 184, 870, 667, 539, 938
1. What is the LCM of 184, 870, 667, 539, 938?
Answer: LCM of 184, 870, 667, 539, 938 is 2890484520.
2. How to calculate the LCM of 184, 870, 667, 539, 938?
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 184, 870, 667, 539, 938.
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}.