LCM of 629, 548, 510, 718, 510
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 629, 548, 510, 718, 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 629, 548, 510, 718, 510. So, keep reading to learn more.
Given numbers are 629,548,510,718,510
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 629,548,510,718,510 is 1856166420.
Find LCM of 629,548,510,718,510 with Prime Factorization
| 2 | 629, 548, 510, 718, 510 |
| 3 | 629, 274, 255, 359, 255 |
| 5 | 629, 274, 85, 359, 85 |
| 17 | 629, 274, 17, 359, 17 |
| 37, 274, 1, 359, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 37 x 274 x 1 x 359 x 1 = 1856166420
Therefore, the lowest common multiple of 629,548,510,718,510 is 1856166420.
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.
629 x 548 x 510 x 718 x 510 = 64371851445600
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.
629 : 1, 17, 37, 629
548 : 1, 2, 4, 137, 274, 548
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
718 : 1, 2, 359, 718
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 629,548,510,718,510, is 1.
Now, the common factors can be found like this.
629:17x 37
548:2x 2x 137
510:2x 3x 5x 17
718:2x 359
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 2x 3x 5x 17x 17 = 34680
Therefore, the value for common factors is 34680.
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 = 64371851445600/(1x34680)
LCM = 64371851445600/34680
LCM = 1856166420
Thus, we can understand that the LCM of 629,548,510,718,510 is 1856166420.
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FAQs on LCM of 629, 548, 510, 718, 510
1. What is the LCM of 629, 548, 510, 718, 510?
Answer: LCM of 629, 548, 510, 718, 510 is 1856166420.
2. How to calculate the LCM of 629, 548, 510, 718, 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 629, 548, 510, 718, 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}.