LCM of 588, 598, 441, 796, 874
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 588, 598, 441, 796, 874 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 588, 598, 441, 796, 874. So, keep reading to learn more.
Given numbers are 588,598,441,796,874
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 588,598,441,796,874 is 1994235516.
Find LCM of 588,598,441,796,874 with Prime Factorization
| 2 | 588, 598, 441, 796, 874 |
| 2 | 294, 299, 441, 398, 437 |
| 3 | 147, 299, 441, 199, 437 |
| 7 | 49, 299, 147, 199, 437 |
| 7 | 7, 299, 21, 199, 437 |
| 23 | 1, 299, 3, 199, 437 |
| 1, 13, 3, 199, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 7 x 23 x 1 x 13 x 3 x 199 x 19 = 1994235516
Therefore, the lowest common multiple of 588,598,441,796,874 is 1994235516.
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.
588 x 598 x 441 x 796 x 874 = 107880164473536
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.
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
598 : 1, 2, 13, 23, 26, 46, 299, 598
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
796 : 1, 2, 4, 199, 398, 796
874 : 1, 2, 19, 23, 38, 46, 437, 874
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 588,598,441,796,874, is 1.
Now, the common factors can be found like this.
588:2x 2x 3x 7x 7
598:2x 13x 23
441:3x 3x 7x 7
796:2x 2x 199
874:2x 19x 23
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 2x 3x 7x 7x 23 = 54096
Therefore, the value for common factors is 54096.
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 = 107880164473536/(1x54096)
LCM = 107880164473536/54096
LCM = 1994235516
Thus, we can understand that the LCM of 588,598,441,796,874 is 1994235516.
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FAQs on LCM of 588, 598, 441, 796, 874
1. What is the LCM of 588, 598, 441, 796, 874?
Answer: LCM of 588, 598, 441, 796, 874 is 1994235516.
2. How to calculate the LCM of 588, 598, 441, 796, 874?
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 588, 598, 441, 796, 874.
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}.