LCM of 589, 713, 423, 938, 742
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 589, 713, 423, 938, 742 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 589, 713, 423, 938, 742. So, keep reading to learn more.
Given numbers are 589,713,423,938,742
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 589,713,423,938,742 is 284880161034.
Find LCM of 589,713,423,938,742 with Prime Factorization
| 2 | 589, 713, 423, 938, 742 |
| 7 | 589, 713, 423, 469, 371 |
| 31 | 589, 713, 423, 67, 53 |
| 19, 23, 423, 67, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 31 x 19 x 23 x 423 x 67 x 53 = 284880161034
Therefore, the lowest common multiple of 589,713,423,938,742 is 284880161034.
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.
589 x 713 x 423 x 938 x 742 = 123637989888756
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.
589 : 1, 19, 31, 589
713 : 1, 23, 31, 713
423 : 1, 3, 9, 47, 141, 423
938 : 1, 2, 7, 14, 67, 134, 469, 938
742 : 1, 2, 7, 14, 53, 106, 371, 742
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,713,423,938,742, is 1.
Now, the common factors can be found like this.
589:19x 31
713:23x 31
423:3x 3x 47
938:2x 7x 67
742:2x 7x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 31 = 434
Therefore, the value for common factors is 434.
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 = 123637989888756/(1x434)
LCM = 123637989888756/434
LCM = 284880161034
Thus, we can understand that the LCM of 589,713,423,938,742 is 284880161034.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 589, 713, 423, 938, 742
1. What is the LCM of 589, 713, 423, 938, 742?
Answer: LCM of 589, 713, 423, 938, 742 is 284880161034.
2. How to calculate the LCM of 589, 713, 423, 938, 742?
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 589, 713, 423, 938, 742.
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}.