Find the LCM of 280, 298, 403, 792, 240 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 280, 298, 403, 792, 240. So, keep reading to learn more.
Given numbers are 280,298,403,792,240
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 280,298,403,792,240 is 3329005680.
Find LCM of 280,298,403,792,240 with Prime Factorization
2 | 280, 298, 403, 792, 240 |
2 | 140, 149, 403, 396, 120 |
2 | 70, 149, 403, 198, 60 |
3 | 35, 149, 403, 99, 30 |
5 | 35, 149, 403, 33, 10 |
7, 149, 403, 33, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 7 x 149 x 403 x 33 x 2 = 3329005680
Therefore, the lowest common multiple of 280,298,403,792,240 is 3329005680.
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.
280 x 298 x 403 x 792 x 240 = 6391690905600
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.
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
298 : 1, 2, 149, 298
403 : 1, 13, 31, 403
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 280,298,403,792,240, is 1.
Now, the common factors can be found like this.
280:2x 2x 2x 5x 7
298:2x 149
403:13x 31
792:2x 2x 2x 3x 3x 11
240:2x 2x 2x 2x 3x 5
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 2x 2x 2x 2x 3x 5 = 1920
Therefore, the value for common factors is 1920.
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 = 6391690905600/(1x1920)
LCM = 6391690905600/1920
LCM = 3329005680
Thus, we can understand that the LCM of 280,298,403,792,240 is 3329005680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 280, 298, 403, 792, 240?
Answer: LCM of 280, 298, 403, 792, 240 is 3329005680.
2. How to calculate the LCM of 280, 298, 403, 792, 240?
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 280, 298, 403, 792, 240.
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}.