Find the LCM of 576, 756, 783, 354, 838 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 576, 756, 783, 354, 838. So, keep reading to learn more.
Given numbers are 576,756,783,354,838
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 576,756,783,354,838 is 8671731264.
Find LCM of 576,756,783,354,838 with Prime Factorization
2 | 576, 756, 783, 354, 838 |
2 | 288, 378, 783, 177, 419 |
3 | 144, 189, 783, 177, 419 |
3 | 48, 63, 261, 59, 419 |
3 | 16, 21, 87, 59, 419 |
16, 7, 29, 59, 419 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 16 x 7 x 29 x 59 x 419 = 8671731264
Therefore, the lowest common multiple of 576,756,783,354,838 is 8671731264.
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.
576 x 756 x 783 x 354 x 838 = 101147073463296
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.
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
783 : 1, 3, 9, 27, 29, 87, 261, 783
354 : 1, 2, 3, 6, 59, 118, 177, 354
838 : 1, 2, 419, 838
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 576,756,783,354,838, is 1.
Now, the common factors can be found like this.
576:2x 2x 2x 2x 2x 2x 3x 3
756:2x 2x 3x 3x 3x 7
783:3x 3x 3x 29
354:2x 3x 59
838:2x 419
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 3x 3x 3x 3x 3x 3 = 11664
Therefore, the value for common factors is 11664.
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 = 101147073463296/(1x11664)
LCM = 101147073463296/11664
LCM = 8671731264
Thus, we can understand that the LCM of 576,756,783,354,838 is 8671731264.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 576, 756, 783, 354, 838?
Answer: LCM of 576, 756, 783, 354, 838 is 8671731264.
2. How to calculate the LCM of 576, 756, 783, 354, 838?
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 576, 756, 783, 354, 838.
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}.