LCM of 593, 735, 280, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 593, 735, 280, 414 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 593, 735, 280, 414. So, keep reading to learn more.
Given numbers are 593,735,280,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 593,735,280,414 is 240591960.
Find LCM of 593,735,280,414 with Prime Factorization
| 2 | 593, 735, 280, 414 |
| 3 | 593, 735, 140, 207 |
| 5 | 593, 245, 140, 69 |
| 7 | 593, 49, 28, 69 |
| 593, 7, 4, 69 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 593 x 7 x 4 x 69 = 240591960
Therefore, the lowest common multiple of 593,735,280,414 is 240591960.
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.
593 x 735 x 280 x 414 = 50524311600
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.
593 : 1, 593
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 593,735,280,414, is 1.
Now, the common factors can be found like this.
593:593
735:3x 5x 7x 7
280:2x 2x 2x 5x 7
414:2x 3x 3x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 7 = 210
Therefore, the value for common factors is 210.
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 = 50524311600/(1x210)
LCM = 50524311600/210
LCM = 240591960
Thus, we can understand that the LCM of 593,735,280,414 is 240591960.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 593, 735, 280, 414
1. What is the LCM of 593, 735, 280, 414?
Answer: LCM of 593, 735, 280, 414 is 240591960.
2. How to calculate the LCM of 593, 735, 280, 414?
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 593, 735, 280, 414.
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}.