LCM of 587, 455, 623, 273
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 587, 455, 623, 273 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 587, 455, 623, 273. So, keep reading to learn more.
Given numbers are 587,455,623,273
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 587,455,623,273 is 71311695.
Find LCM of 587,455,623,273 with Prime Factorization
| 7 | 587, 455, 623, 273 |
| 13 | 587, 65, 89, 39 |
| 587, 5, 89, 3 |
Multiply the prime numbers at the bottom and the left side.
7 x 13 x 587 x 5 x 89 x 3 = 71311695
Therefore, the lowest common multiple of 587,455,623,273 is 71311695.
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.
587 x 455 x 623 x 273 = 45425549715
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.
587 : 1, 587
455 : 1, 5, 7, 13, 35, 65, 91, 455
623 : 1, 7, 89, 623
273 : 1, 3, 7, 13, 21, 39, 91, 273
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 587,455,623,273, is 1.
Now, the common factors can be found like this.
587:587
455:5x 7x 13
623:7x 89
273:3x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 7x 13 = 637
Therefore, the value for common factors is 637.
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 = 45425549715/(1x637)
LCM = 45425549715/637
LCM = 71311695
Thus, we can understand that the LCM of 587,455,623,273 is 71311695.
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FAQs on LCM of 587, 455, 623, 273
1. What is the LCM of 587, 455, 623, 273?
Answer: LCM of 587, 455, 623, 273 is 71311695.
2. How to calculate the LCM of 587, 455, 623, 273?
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 587, 455, 623, 273.
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}.