LCM of 184, 598, 780, 567
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 184, 598, 780, 567 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, 598, 780, 567. So, keep reading to learn more.
Given numbers are 184,598,780,567
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 184,598,780,567 is 6781320.
Find LCM of 184,598,780,567 with Prime Factorization
| 2 | 184, 598, 780, 567 |
| 2 | 92, 299, 390, 567 |
| 3 | 46, 299, 195, 567 |
| 13 | 46, 299, 65, 189 |
| 23 | 46, 23, 5, 189 |
| 2, 1, 5, 189 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 23 x 2 x 1 x 5 x 189 = 6781320
Therefore, the lowest common multiple of 184,598,780,567 is 6781320.
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 598 x 780 x 567 = 48662752320
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
598 : 1, 2, 13, 23, 26, 46, 299, 598
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 184,598,780,567, is 1.
Now, the common factors can be found like this.
184:2x 2x 2x 23
598:2x 13x 23
780:2x 2x 3x 5x 13
567:3x 3x 3x 3x 7
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 2x 3x 13x 23 = 7176
Therefore, the value for common factors is 7176.
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 = 48662752320/(1x7176)
LCM = 48662752320/7176
LCM = 6781320
Thus, we can understand that the LCM of 184,598,780,567 is 6781320.
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FAQs on LCM of 184, 598, 780, 567
1. What is the LCM of 184, 598, 780, 567?
Answer: LCM of 184, 598, 780, 567 is 6781320.
2. How to calculate the LCM of 184, 598, 780, 567?
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, 598, 780, 567.
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}.