LCM of 431, 551, 834, 522
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 431, 551, 834, 522 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 431, 551, 834, 522. So, keep reading to learn more.
Given numbers are 431,551,834,522
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 431,551,834,522 is 594177462.
Find LCM of 431,551,834,522 with Prime Factorization
| 2 | 431, 551, 834, 522 |
| 3 | 431, 551, 417, 261 |
| 29 | 431, 551, 139, 87 |
| 431, 19, 139, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 431 x 19 x 139 x 3 = 594177462
Therefore, the lowest common multiple of 431,551,834,522 is 594177462.
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.
431 x 551 x 834 x 522 = 103386878388
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.
431 : 1, 431
551 : 1, 19, 29, 551
834 : 1, 2, 3, 6, 139, 278, 417, 834
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 431,551,834,522, is 1.
Now, the common factors can be found like this.
431:431
551:19x 29
834:2x 3x 139
522:2x 3x 3x 29
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 29 = 174
Therefore, the value for common factors is 174.
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 = 103386878388/(1x174)
LCM = 103386878388/174
LCM = 594177462
Thus, we can understand that the LCM of 431,551,834,522 is 594177462.
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FAQs on LCM of 431, 551, 834, 522
1. What is the LCM of 431, 551, 834, 522?
Answer: LCM of 431, 551, 834, 522 is 594177462.
2. How to calculate the LCM of 431, 551, 834, 522?
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 431, 551, 834, 522.
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}.