LCM of 578, 952, 952, 641, 799
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 578, 952, 952, 641, 799 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 578, 952, 952, 641, 799. So, keep reading to learn more.
Given numbers are 578,952,952,641,799
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 578,952,952,641,799 is 487575368.
Find LCM of 578,952,952,641,799 with Prime Factorization
| 2 | 578, 952, 952, 641, 799 |
| 2 | 289, 476, 476, 641, 799 |
| 2 | 289, 238, 238, 641, 799 |
| 7 | 289, 119, 119, 641, 799 |
| 17 | 289, 17, 17, 641, 799 |
| 1, 1, 17, 641, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 17 x 1 x 1 x 17 x 641 x 47 = 487575368
Therefore, the lowest common multiple of 578,952,952,641,799 is 487575368.
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.
578 x 952 x 952 x 641 x 799 = 268291271694208
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.
578 : 1, 2, 17, 34, 289, 578
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
641 : 1, 641
799 : 1, 17, 47, 799
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,952,952,641,799, is 1.
Now, the common factors can be found like this.
578:2x 17x 17
952:2x 2x 2x 7x 17
952:2x 2x 2x 7x 17
641:641
799:17x 47
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 7x 17x 17x 17 = 550256
Therefore, the value for common factors is 550256.
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 = 268291271694208/(1x550256)
LCM = 268291271694208/550256
LCM = 487575368
Thus, we can understand that the LCM of 578,952,952,641,799 is 487575368.
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FAQs on LCM of 578, 952, 952, 641, 799
1. What is the LCM of 578, 952, 952, 641, 799?
Answer: LCM of 578, 952, 952, 641, 799 is 487575368.
2. How to calculate the LCM of 578, 952, 952, 641, 799?
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 578, 952, 952, 641, 799.
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}.