LCM of 560, 759, 435, 802, 593
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 560, 759, 435, 802, 593 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 560, 759, 435, 802, 593. So, keep reading to learn more.
Given numbers are 560,759,435,802,593
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 560,759,435,802,593 is 2931074564880.
Find LCM of 560,759,435,802,593 with Prime Factorization
| 2 | 560, 759, 435, 802, 593 |
| 3 | 280, 759, 435, 401, 593 |
| 5 | 280, 253, 145, 401, 593 |
| 56, 253, 29, 401, 593 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 56 x 253 x 29 x 401 x 593 = 2931074564880
Therefore, the lowest common multiple of 560,759,435,802,593 is 2931074564880.
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.
560 x 759 x 435 x 802 x 593 = 87932236946400
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.
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
759 : 1, 3, 11, 23, 33, 69, 253, 759
435 : 1, 3, 5, 15, 29, 87, 145, 435
802 : 1, 2, 401, 802
593 : 1, 593
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,759,435,802,593, is 1.
Now, the common factors can be found like this.
560:2x 2x 2x 2x 5x 7
759:3x 11x 23
435:3x 5x 29
802:2x 401
593:593
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 5 = 30
Therefore, the value for common factors is 30.
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 = 87932236946400/(1x30)
LCM = 87932236946400/30
LCM = 2931074564880
Thus, we can understand that the LCM of 560,759,435,802,593 is 2931074564880.
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FAQs on LCM of 560, 759, 435, 802, 593
1. What is the LCM of 560, 759, 435, 802, 593?
Answer: LCM of 560, 759, 435, 802, 593 is 2931074564880.
2. How to calculate the LCM of 560, 759, 435, 802, 593?
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 560, 759, 435, 802, 593.
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}.