LCM of 714, 323, 184, 510
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 714, 323, 184, 510 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 714, 323, 184, 510. So, keep reading to learn more.
Given numbers are 714,323,184,510
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 714,323,184,510 is 6240360.
Find LCM of 714,323,184,510 with Prime Factorization
| 2 | 714, 323, 184, 510 |
| 3 | 357, 323, 92, 255 |
| 17 | 119, 323, 92, 85 |
| 7, 19, 92, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 7 x 19 x 92 x 5 = 6240360
Therefore, the lowest common multiple of 714,323,184,510 is 6240360.
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.
714 x 323 x 184 x 510 = 21641568480
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.
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
323 : 1, 17, 19, 323
184 : 1, 2, 4, 8, 23, 46, 92, 184
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,323,184,510, is 1.
Now, the common factors can be found like this.
714:2x 3x 7x 17
323:17x 19
184:2x 2x 2x 23
510:2x 3x 5x 17
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 17x 17 = 3468
Therefore, the value for common factors is 3468.
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 = 21641568480/(1x3468)
LCM = 21641568480/3468
LCM = 6240360
Thus, we can understand that the LCM of 714,323,184,510 is 6240360.
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FAQs on LCM of 714, 323, 184, 510
1. What is the LCM of 714, 323, 184, 510?
Answer: LCM of 714, 323, 184, 510 is 6240360.
2. How to calculate the LCM of 714, 323, 184, 510?
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 714, 323, 184, 510.
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}.