LCM of 771, 362, 845, 598, 771
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 771, 362, 845, 598, 771 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 771, 362, 845, 598, 771. So, keep reading to learn more.
Given numbers are 771,362,845,598,771
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 771,362,845,598,771 is 5424347370.
Find LCM of 771,362,845,598,771 with Prime Factorization
| 2 | 771, 362, 845, 598, 771 |
| 3 | 771, 181, 845, 299, 771 |
| 13 | 257, 181, 845, 299, 257 |
| 257 | 257, 181, 65, 23, 257 |
| 1, 181, 65, 23, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 257 x 1 x 181 x 65 x 23 x 1 = 5424347370
Therefore, the lowest common multiple of 771,362,845,598,771 is 5424347370.
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.
771 x 362 x 845 x 598 x 771 = 108736467379020
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.
771 : 1, 3, 257, 771
362 : 1, 2, 181, 362
845 : 1, 5, 13, 65, 169, 845
598 : 1, 2, 13, 23, 26, 46, 299, 598
771 : 1, 3, 257, 771
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 771,362,845,598,771, is 1.
Now, the common factors can be found like this.
771:3x 257
362:2x 181
845:5x 13x 13
598:2x 13x 23
771:3x 257
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 13x 257 = 20046
Therefore, the value for common factors is 20046.
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 = 108736467379020/(1x20046)
LCM = 108736467379020/20046
LCM = 5424347370
Thus, we can understand that the LCM of 771,362,845,598,771 is 5424347370.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 771, 362, 845, 598, 771
1. What is the LCM of 771, 362, 845, 598, 771?
Answer: LCM of 771, 362, 845, 598, 771 is 5424347370.
2. How to calculate the LCM of 771, 362, 845, 598, 771?
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 771, 362, 845, 598, 771.
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}.