LCM of 301, 506, 874, 490, 593
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 301, 506, 874, 490, 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 301, 506, 874, 490, 593. So, keep reading to learn more.
Given numbers are 301,506,874,490,593
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 301,506,874,490,593 is 60061109570.
Find LCM of 301,506,874,490,593 with Prime Factorization
| 2 | 301, 506, 874, 490, 593 |
| 7 | 301, 253, 437, 245, 593 |
| 23 | 43, 253, 437, 35, 593 |
| 43, 11, 19, 35, 593 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 23 x 43 x 11 x 19 x 35 x 593 = 60061109570
Therefore, the lowest common multiple of 301,506,874,490,593 is 60061109570.
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.
301 x 506 x 874 x 490 x 593 = 38679354563080
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.
301 : 1, 7, 43, 301
506 : 1, 2, 11, 22, 23, 46, 253, 506
874 : 1, 2, 19, 23, 38, 46, 437, 874
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
593 : 1, 593
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 301,506,874,490,593, is 1.
Now, the common factors can be found like this.
301:7x 43
506:2x 11x 23
874:2x 19x 23
490:2x 5x 7x 7
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 7x 23 = 644
Therefore, the value for common factors is 644.
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 = 38679354563080/(1x644)
LCM = 38679354563080/644
LCM = 60061109570
Thus, we can understand that the LCM of 301,506,874,490,593 is 60061109570.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 301, 506, 874, 490, 593
1. What is the LCM of 301, 506, 874, 490, 593?
Answer: LCM of 301, 506, 874, 490, 593 is 60061109570.
2. How to calculate the LCM of 301, 506, 874, 490, 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 301, 506, 874, 490, 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}.