LCM of 249, 775, 341, 746, 510
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 249, 775, 341, 746, 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 249, 775, 341, 746, 510. So, keep reading to learn more.
Given numbers are 249,775,341,746,510
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 249,775,341,746,510 is 26920398450.
Find LCM of 249,775,341,746,510 with Prime Factorization
| 2 | 249, 775, 341, 746, 510 |
| 3 | 249, 775, 341, 373, 255 |
| 5 | 83, 775, 341, 373, 85 |
| 31 | 83, 155, 341, 373, 17 |
| 83, 5, 11, 373, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 31 x 83 x 5 x 11 x 373 x 17 = 26920398450
Therefore, the lowest common multiple of 249,775,341,746,510 is 26920398450.
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.
249 x 775 x 341 x 746 x 510 = 25035970558500
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.
249 : 1, 3, 83, 249
775 : 1, 5, 25, 31, 155, 775
341 : 1, 11, 31, 341
746 : 1, 2, 373, 746
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 249,775,341,746,510, is 1.
Now, the common factors can be found like this.
249:3x 83
775:5x 5x 31
341:11x 31
746:2x 373
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 3x 5x 31 = 930
Therefore, the value for common factors is 930.
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 = 25035970558500/(1x930)
LCM = 25035970558500/930
LCM = 26920398450
Thus, we can understand that the LCM of 249,775,341,746,510 is 26920398450.
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FAQs on LCM of 249, 775, 341, 746, 510
1. What is the LCM of 249, 775, 341, 746, 510?
Answer: LCM of 249, 775, 341, 746, 510 is 26920398450.
2. How to calculate the LCM of 249, 775, 341, 746, 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 249, 775, 341, 746, 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}.