LCM of 587, 735, 713, 345
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 587, 735, 713, 345 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, 735, 713, 345. So, keep reading to learn more.
Given numbers are 587,735,713,345
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 587,735,713,345 is 307620285.
Find LCM of 587,735,713,345 with Prime Factorization
| 3 | 587, 735, 713, 345 |
| 5 | 587, 245, 713, 115 |
| 23 | 587, 49, 713, 23 |
| 587, 49, 31, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 23 x 587 x 49 x 31 x 1 = 307620285
Therefore, the lowest common multiple of 587,735,713,345 is 307620285.
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 735 x 713 x 345 = 106128998325
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
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
713 : 1, 23, 31, 713
345 : 1, 3, 5, 15, 23, 69, 115, 345
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 587,735,713,345, is 1.
Now, the common factors can be found like this.
587:587
735:3x 5x 7x 7
713:23x 31
345:3x 5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 23 = 345
Therefore, the value for common factors is 345.
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 = 106128998325/(1x345)
LCM = 106128998325/345
LCM = 307620285
Thus, we can understand that the LCM of 587,735,713,345 is 307620285.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 587, 735, 713, 345
1. What is the LCM of 587, 735, 713, 345?
Answer: LCM of 587, 735, 713, 345 is 307620285.
2. How to calculate the LCM of 587, 735, 713, 345?
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, 735, 713, 345.
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}.