LCM of 598, 982, 286, 738, 751
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 598, 982, 286, 738, 751 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, 982, 286, 738, 751. So, keep reading to learn more.
Given numbers are 598,982,286,738,751
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,982,286,738,751 is 895038391962.
Find LCM of 598,982,286,738,751 with Prime Factorization
| 2 | 598, 982, 286, 738, 751 |
| 13 | 299, 491, 143, 369, 751 |
| 23, 491, 11, 369, 751 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 23 x 491 x 11 x 369 x 751 = 895038391962
Therefore, the lowest common multiple of 598,982,286,738,751 is 895038391962.
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 982 x 286 x 738 x 751 = 93083992764048
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
982 : 1, 2, 491, 982
286 : 1, 2, 11, 13, 22, 26, 143, 286
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
751 : 1, 751
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,982,286,738,751, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
982:2x 491
286:2x 11x 13
738:2x 3x 3x 41
751:751
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 13 = 104
Therefore, the value for common factors is 104.
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 = 93083992764048/(1x104)
LCM = 93083992764048/104
LCM = 895038391962
Thus, we can understand that the LCM of 598,982,286,738,751 is 895038391962.
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FAQs on LCM of 598, 982, 286, 738, 751
1. What is the LCM of 598, 982, 286, 738, 751?
Answer: LCM of 598, 982, 286, 738, 751 is 895038391962.
2. How to calculate the LCM of 598, 982, 286, 738, 751?
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, 982, 286, 738, 751.
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}.