LCM of 369, 572, 741, 589, 608
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 369, 572, 741, 589, 608 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 369, 572, 741, 589, 608. So, keep reading to learn more.
Given numbers are 369,572,741,589,608
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 369,572,741,589,608 is 994552416.
Find LCM of 369,572,741,589,608 with Prime Factorization
| 2 | 369, 572, 741, 589, 608 |
| 2 | 369, 286, 741, 589, 304 |
| 3 | 369, 143, 741, 589, 152 |
| 13 | 123, 143, 247, 589, 152 |
| 19 | 123, 11, 19, 589, 152 |
| 123, 11, 1, 31, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 19 x 123 x 11 x 1 x 31 x 8 = 994552416
Therefore, the lowest common multiple of 369,572,741,589,608 is 994552416.
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.
369 x 572 x 741 x 589 x 608 = 56009213859456
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.
369 : 1, 3, 9, 41, 123, 369
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
741 : 1, 3, 13, 19, 39, 57, 247, 741
589 : 1, 19, 31, 589
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,572,741,589,608, is 1.
Now, the common factors can be found like this.
369:3x 3x 41
572:2x 2x 11x 13
741:3x 13x 19
589:19x 31
608:2x 2x 2x 2x 2x 19
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 3x 13x 19x 19 = 56316
Therefore, the value for common factors is 56316.
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 = 56009213859456/(1x56316)
LCM = 56009213859456/56316
LCM = 994552416
Thus, we can understand that the LCM of 369,572,741,589,608 is 994552416.
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FAQs on LCM of 369, 572, 741, 589, 608
1. What is the LCM of 369, 572, 741, 589, 608?
Answer: LCM of 369, 572, 741, 589, 608 is 994552416.
2. How to calculate the LCM of 369, 572, 741, 589, 608?
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 369, 572, 741, 589, 608.
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}.