LCM of 598, 784, 799, 799
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 598, 784, 799, 799 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 598, 784, 799, 799. So, keep reading to learn more.
Given numbers are 598,784,799,799
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,784,799,799 is 187298384.
Find LCM of 598,784,799,799 with Prime Factorization
| 2 | 598, 784, 799, 799 |
| 17 | 299, 392, 799, 799 |
| 47 | 299, 392, 47, 47 |
| 299, 392, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 47 x 299 x 392 x 1 x 1 = 187298384
Therefore, the lowest common multiple of 598,784,799,799 is 187298384.
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.
598 x 784 x 799 x 799 = 299302817632
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.
598 : 1, 2, 13, 23, 26, 46, 299, 598
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
799 : 1, 17, 47, 799
799 : 1, 17, 47, 799
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,784,799,799, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
784:2x 2x 2x 2x 7x 7
799:17x 47
799:17x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17x 47 = 1598
Therefore, the value for common factors is 1598.
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 = 299302817632/(1x1598)
LCM = 299302817632/1598
LCM = 187298384
Thus, we can understand that the LCM of 598,784,799,799 is 187298384.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 598, 784, 799, 799
1. What is the LCM of 598, 784, 799, 799?
Answer: LCM of 598, 784, 799, 799 is 187298384.
2. How to calculate the LCM of 598, 784, 799, 799?
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 598, 784, 799, 799.
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}.