LCM of 416, 578, 797, 544
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 416, 578, 797, 544 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 416, 578, 797, 544. So, keep reading to learn more.
Given numbers are 416,578,797,544
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 416,578,797,544 is 95818528.
Find LCM of 416,578,797,544 with Prime Factorization
| 2 | 416, 578, 797, 544 |
| 2 | 208, 289, 797, 272 |
| 2 | 104, 289, 797, 136 |
| 2 | 52, 289, 797, 68 |
| 2 | 26, 289, 797, 34 |
| 17 | 13, 289, 797, 17 |
| 13, 1, 797, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 17 x 13 x 1 x 797 x 17 = 95818528
Therefore, the lowest common multiple of 416,578,797,544 is 95818528.
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.
416 x 578 x 797 x 544 = 104250558464
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.
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
578 : 1, 2, 17, 34, 289, 578
797 : 1, 797
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,578,797,544, is 1.
Now, the common factors can be found like this.
416:2x 2x 2x 2x 2x 13
578:2x 17x 17
797:797
544:2x 2x 2x 2x 2x 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 2x 2x 2x 2x 2x 17 = 1088
Therefore, the value for common factors is 1088.
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 = 104250558464/(1x1088)
LCM = 104250558464/1088
LCM = 95818528
Thus, we can understand that the LCM of 416,578,797,544 is 95818528.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 416, 578, 797, 544
1. What is the LCM of 416, 578, 797, 544?
Answer: LCM of 416, 578, 797, 544 is 95818528.
2. How to calculate the LCM of 416, 578, 797, 544?
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 416, 578, 797, 544.
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}.