LCM of 596, 326, 494, 624, 787
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 596, 326, 494, 624, 787 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 596, 326, 494, 624, 787. So, keep reading to learn more.
Given numbers are 596,326,494,624,787
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 596,326,494,624,787 is 226614030864.
Find LCM of 596,326,494,624,787 with Prime Factorization
| 2 | 596, 326, 494, 624, 787 |
| 2 | 298, 163, 247, 312, 787 |
| 13 | 149, 163, 247, 156, 787 |
| 149, 163, 19, 12, 787 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 149 x 163 x 19 x 12 x 787 = 226614030864
Therefore, the lowest common multiple of 596,326,494,624,787 is 226614030864.
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.
596 x 326 x 494 x 624 x 787 = 47135718419712
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.
596 : 1, 2, 4, 149, 298, 596
326 : 1, 2, 163, 326
494 : 1, 2, 13, 19, 26, 38, 247, 494
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
787 : 1, 787
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,326,494,624,787, is 1.
Now, the common factors can be found like this.
596:2x 2x 149
326:2x 163
494:2x 13x 19
624:2x 2x 2x 2x 3x 13
787:787
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 13 = 208
Therefore, the value for common factors is 208.
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 = 47135718419712/(1x208)
LCM = 47135718419712/208
LCM = 226614030864
Thus, we can understand that the LCM of 596,326,494,624,787 is 226614030864.
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FAQs on LCM of 596, 326, 494, 624, 787
1. What is the LCM of 596, 326, 494, 624, 787?
Answer: LCM of 596, 326, 494, 624, 787 is 226614030864.
2. How to calculate the LCM of 596, 326, 494, 624, 787?
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 596, 326, 494, 624, 787.
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}.