LCM of 738, 451, 598, 571, 867
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 738, 451, 598, 571, 867 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 738, 451, 598, 571, 867. So, keep reading to learn more.
Given numbers are 738,451,598,571,867
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 738,451,598,571,867 is 400547648358.
Find LCM of 738,451,598,571,867 with Prime Factorization
| 2 | 738, 451, 598, 571, 867 |
| 3 | 369, 451, 299, 571, 867 |
| 41 | 123, 451, 299, 571, 289 |
| 3, 11, 299, 571, 289 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 41 x 3 x 11 x 299 x 571 x 289 = 400547648358
Therefore, the lowest common multiple of 738,451,598,571,867 is 400547648358.
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.
738 x 451 x 598 x 571 x 867 = 98534721496068
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.
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
451 : 1, 11, 41, 451
598 : 1, 2, 13, 23, 26, 46, 299, 598
571 : 1, 571
867 : 1, 3, 17, 51, 289, 867
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,451,598,571,867, is 1.
Now, the common factors can be found like this.
738:2x 3x 3x 41
451:11x 41
598:2x 13x 23
571:571
867:3x 17x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 41 = 246
Therefore, the value for common factors is 246.
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 = 98534721496068/(1x246)
LCM = 98534721496068/246
LCM = 400547648358
Thus, we can understand that the LCM of 738,451,598,571,867 is 400547648358.
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FAQs on LCM of 738, 451, 598, 571, 867
1. What is the LCM of 738, 451, 598, 571, 867?
Answer: LCM of 738, 451, 598, 571, 867 is 400547648358.
2. How to calculate the LCM of 738, 451, 598, 571, 867?
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 738, 451, 598, 571, 867.
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}.