LCM of 772, 843, 529, 945, 598
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 772, 843, 529, 945, 598 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 772, 843, 529, 945, 598. So, keep reading to learn more.
Given numbers are 772,843,529,945,598
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 772,843,529,945,598 is 1409790088980.
Find LCM of 772,843,529,945,598 with Prime Factorization
| 2 | 772, 843, 529, 945, 598 |
| 3 | 386, 843, 529, 945, 299 |
| 23 | 386, 281, 529, 315, 299 |
| 386, 281, 23, 315, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 386 x 281 x 23 x 315 x 13 = 1409790088980
Therefore, the lowest common multiple of 772,843,529,945,598 is 1409790088980.
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.
772 x 843 x 529 x 945 x 598 = 194551032279240
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.
772 : 1, 2, 4, 193, 386, 772
843 : 1, 3, 281, 843
529 : 1, 23, 529
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
598 : 1, 2, 13, 23, 26, 46, 299, 598
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 772,843,529,945,598, is 1.
Now, the common factors can be found like this.
772:2x 2x 193
843:3x 281
529:23x 23
945:3x 3x 3x 5x 7
598:2x 13x 23
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 23 = 138
Therefore, the value for common factors is 138.
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 = 194551032279240/(1x138)
LCM = 194551032279240/138
LCM = 1409790088980
Thus, we can understand that the LCM of 772,843,529,945,598 is 1409790088980.
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FAQs on LCM of 772, 843, 529, 945, 598
1. What is the LCM of 772, 843, 529, 945, 598?
Answer: LCM of 772, 843, 529, 945, 598 is 1409790088980.
2. How to calculate the LCM of 772, 843, 529, 945, 598?
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 772, 843, 529, 945, 598.
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}.