LCM of 573, 707, 294, 114, 810
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 573, 707, 294, 114, 810 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 573, 707, 294, 114, 810. So, keep reading to learn more.
Given numbers are 573,707,294,114,810
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 573,707,294,114,810 is 14547536010.
Find LCM of 573,707,294,114,810 with Prime Factorization
| 2 | 573, 707, 294, 114, 810 |
| 3 | 573, 707, 147, 57, 405 |
| 7 | 191, 707, 49, 19, 135 |
| 191, 101, 7, 19, 135 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 191 x 101 x 7 x 19 x 135 = 14547536010
Therefore, the lowest common multiple of 573,707,294,114,810 is 14547536010.
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.
573 x 707 x 294 x 114 x 810 = 10997937223560
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.
573 : 1, 3, 191, 573
707 : 1, 7, 101, 707
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
114 : 1, 2, 3, 6, 19, 38, 57, 114
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 573,707,294,114,810, is 1.
Now, the common factors can be found like this.
573:3x 191
707:7x 101
294:2x 3x 7x 7
114:2x 3x 19
810:2x 3x 3x 3x 3x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 3x 7 = 756
Therefore, the value for common factors is 756.
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 = 10997937223560/(1x756)
LCM = 10997937223560/756
LCM = 14547536010
Thus, we can understand that the LCM of 573,707,294,114,810 is 14547536010.
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FAQs on LCM of 573, 707, 294, 114, 810
1. What is the LCM of 573, 707, 294, 114, 810?
Answer: LCM of 573, 707, 294, 114, 810 is 14547536010.
2. How to calculate the LCM of 573, 707, 294, 114, 810?
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 573, 707, 294, 114, 810.
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}.