LCM of 251, 249, 493, 510
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 251, 249, 493, 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 251, 249, 493, 510. So, keep reading to learn more.
Given numbers are 251,249,493,510
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 251,249,493,510 is 308120070.
Find LCM of 251,249,493,510 with Prime Factorization
| 3 | 251, 249, 493, 510 |
| 17 | 251, 83, 493, 170 |
| 251, 83, 29, 10 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 251 x 83 x 29 x 10 = 308120070
Therefore, the lowest common multiple of 251,249,493,510 is 308120070.
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.
251 x 249 x 493 x 510 = 15714123570
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.
251 : 1, 251
249 : 1, 3, 83, 249
493 : 1, 17, 29, 493
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 251,249,493,510, is 1.
Now, the common factors can be found like this.
251:251
249:3x 83
493:17x 29
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.
3x 17 = 51
Therefore, the value for common factors is 51.
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 = 15714123570/(1x51)
LCM = 15714123570/51
LCM = 308120070
Thus, we can understand that the LCM of 251,249,493,510 is 308120070.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 251, 249, 493, 510
1. What is the LCM of 251, 249, 493, 510?
Answer: LCM of 251, 249, 493, 510 is 308120070.
2. How to calculate the LCM of 251, 249, 493, 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 251, 249, 493, 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}.