LCM of 560, 511, 853, 714, 345
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 560, 511, 853, 714, 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 560, 511, 853, 714, 345. So, keep reading to learn more.
Given numbers are 560,511,853,714,345
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 560,511,853,714,345 is 40903260720.
Find LCM of 560,511,853,714,345 with Prime Factorization
| 2 | 560, 511, 853, 714, 345 |
| 3 | 280, 511, 853, 357, 345 |
| 5 | 280, 511, 853, 119, 115 |
| 7 | 56, 511, 853, 119, 23 |
| 8, 73, 853, 17, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 8 x 73 x 853 x 17 x 23 = 40903260720
Therefore, the lowest common multiple of 560,511,853,714,345 is 40903260720.
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 511 x 853 x 714 x 345 = 60127793258400
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
511 : 1, 7, 73, 511
853 : 1, 853
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
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 560,511,853,714,345, is 1.
Now, the common factors can be found like this.
560:2x 2x 2x 2x 5x 7
511:7x 73
853:853
714:2x 3x 7x 17
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.
2x 3x 5x 7x 7 = 1470
Therefore, the value for common factors is 1470.
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 = 60127793258400/(1x1470)
LCM = 60127793258400/1470
LCM = 40903260720
Thus, we can understand that the LCM of 560,511,853,714,345 is 40903260720.
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FAQs on LCM of 560, 511, 853, 714, 345
1. What is the LCM of 560, 511, 853, 714, 345?
Answer: LCM of 560, 511, 853, 714, 345 is 40903260720.
2. How to calculate the LCM of 560, 511, 853, 714, 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 560, 511, 853, 714, 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}.