LCM of 602, 774, 742, 568, 593
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 602, 774, 742, 568, 593 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 602, 774, 742, 568, 593. So, keep reading to learn more.
Given numbers are 602,774,742,568,593
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 602,774,742,568,593 is 48360179448.
Find LCM of 602,774,742,568,593 with Prime Factorization
| 2 | 602, 774, 742, 568, 593 |
| 7 | 301, 387, 371, 284, 593 |
| 43 | 43, 387, 53, 284, 593 |
| 1, 9, 53, 284, 593 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 43 x 1 x 9 x 53 x 284 x 593 = 48360179448
Therefore, the lowest common multiple of 602,774,742,568,593 is 48360179448.
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.
602 x 774 x 742 x 568 x 593 = 116451312110784
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.
602 : 1, 2, 7, 14, 43, 86, 301, 602
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
742 : 1, 2, 7, 14, 53, 106, 371, 742
568 : 1, 2, 4, 8, 71, 142, 284, 568
593 : 1, 593
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 602,774,742,568,593, is 1.
Now, the common factors can be found like this.
602:2x 7x 43
774:2x 3x 3x 43
742:2x 7x 53
568:2x 2x 2x 71
593:593
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 7x 43 = 2408
Therefore, the value for common factors is 2408.
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 = 116451312110784/(1x2408)
LCM = 116451312110784/2408
LCM = 48360179448
Thus, we can understand that the LCM of 602,774,742,568,593 is 48360179448.
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FAQs on LCM of 602, 774, 742, 568, 593
1. What is the LCM of 602, 774, 742, 568, 593?
Answer: LCM of 602, 774, 742, 568, 593 is 48360179448.
2. How to calculate the LCM of 602, 774, 742, 568, 593?
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 602, 774, 742, 568, 593.
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}.