LCM of 256, 951, 780, 264, 733
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 256, 951, 780, 264, 733 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 256, 951, 780, 264, 733. So, keep reading to learn more.
Given numbers are 256,951,780,264,733
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 256,951,780,264,733 is 127594072320.
Find LCM of 256,951,780,264,733 with Prime Factorization
| 2 | 256, 951, 780, 264, 733 |
| 2 | 128, 951, 390, 132, 733 |
| 2 | 64, 951, 195, 66, 733 |
| 3 | 32, 951, 195, 33, 733 |
| 32, 317, 65, 11, 733 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 32 x 317 x 65 x 11 x 733 = 127594072320
Therefore, the lowest common multiple of 256,951,780,264,733 is 127594072320.
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.
256 x 951 x 780 x 264 x 733 = 36747092828160
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.
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
951 : 1, 3, 317, 951
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
733 : 1, 733
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 256,951,780,264,733, is 1.
Now, the common factors can be found like this.
256:2x 2x 2x 2x 2x 2x 2x 2
951:3x 317
780:2x 2x 3x 5x 13
264:2x 2x 2x 3x 11
733:733
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 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 36747092828160/(1x288)
LCM = 36747092828160/288
LCM = 127594072320
Thus, we can understand that the LCM of 256,951,780,264,733 is 127594072320.
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FAQs on LCM of 256, 951, 780, 264, 733
1. What is the LCM of 256, 951, 780, 264, 733?
Answer: LCM of 256, 951, 780, 264, 733 is 127594072320.
2. How to calculate the LCM of 256, 951, 780, 264, 733?
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 256, 951, 780, 264, 733.
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}.