LCM of 707, 510, 969, 546, 514
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 707, 510, 969, 546, 514 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 707, 510, 969, 546, 514. So, keep reading to learn more.
Given numbers are 707,510,969,546,514
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 707,510,969,546,514 is 22888623030.
Find LCM of 707,510,969,546,514 with Prime Factorization
| 2 | 707, 510, 969, 546, 514 |
| 3 | 707, 255, 969, 273, 257 |
| 7 | 707, 85, 323, 91, 257 |
| 17 | 101, 85, 323, 13, 257 |
| 101, 5, 19, 13, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 17 x 101 x 5 x 19 x 13 x 257 = 22888623030
Therefore, the lowest common multiple of 707,510,969,546,514 is 22888623030.
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.
707 x 510 x 969 x 546 x 514 = 98054861060520
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.
707 : 1, 7, 101, 707
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
969 : 1, 3, 17, 19, 51, 57, 323, 969
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
514 : 1, 2, 257, 514
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 707,510,969,546,514, is 1.
Now, the common factors can be found like this.
707:7x 101
510:2x 3x 5x 17
969:3x 17x 19
546:2x 3x 7x 13
514:2x 257
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 7x 17 = 4284
Therefore, the value for common factors is 4284.
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 = 98054861060520/(1x4284)
LCM = 98054861060520/4284
LCM = 22888623030
Thus, we can understand that the LCM of 707,510,969,546,514 is 22888623030.
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FAQs on LCM of 707, 510, 969, 546, 514
1. What is the LCM of 707, 510, 969, 546, 514?
Answer: LCM of 707, 510, 969, 546, 514 is 22888623030.
2. How to calculate the LCM of 707, 510, 969, 546, 514?
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 707, 510, 969, 546, 514.
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}.