LCM of 775, 407, 889, 572, 592
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 775, 407, 889, 572, 592 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 775, 407, 889, 572, 592. So, keep reading to learn more.
Given numbers are 775,407,889,572,592
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 775,407,889,572,592 is 58325867600.
Find LCM of 775,407,889,572,592 with Prime Factorization
| 2 | 775, 407, 889, 572, 592 |
| 2 | 775, 407, 889, 286, 296 |
| 11 | 775, 407, 889, 143, 148 |
| 37 | 775, 37, 889, 13, 148 |
| 775, 1, 889, 13, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 37 x 775 x 1 x 889 x 13 x 4 = 58325867600
Therefore, the lowest common multiple of 775,407,889,572,592 is 58325867600.
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.
775 x 407 x 889 x 572 x 592 = 94954512452800
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.
775 : 1, 5, 25, 31, 155, 775
407 : 1, 11, 37, 407
889 : 1, 7, 127, 889
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 775,407,889,572,592, is 1.
Now, the common factors can be found like this.
775:5x 5x 31
407:11x 37
889:7x 127
572:2x 2x 11x 13
592:2x 2x 2x 2x 37
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 11x 37 = 1628
Therefore, the value for common factors is 1628.
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 = 94954512452800/(1x1628)
LCM = 94954512452800/1628
LCM = 58325867600
Thus, we can understand that the LCM of 775,407,889,572,592 is 58325867600.
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FAQs on LCM of 775, 407, 889, 572, 592
1. What is the LCM of 775, 407, 889, 572, 592?
Answer: LCM of 775, 407, 889, 572, 592 is 58325867600.
2. How to calculate the LCM of 775, 407, 889, 572, 592?
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 775, 407, 889, 572, 592.
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}.