LCM of 592, 799, 271, 748, 306
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 592, 799, 271, 748, 306 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 592, 799, 271, 748, 306. So, keep reading to learn more.
Given numbers are 592,799,271,748,306
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 592,799,271,748,306 is 12690331632.
Find LCM of 592,799,271,748,306 with Prime Factorization
| 2 | 592, 799, 271, 748, 306 |
| 2 | 296, 799, 271, 374, 153 |
| 17 | 148, 799, 271, 187, 153 |
| 148, 47, 271, 11, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 148 x 47 x 271 x 11 x 9 = 12690331632
Therefore, the lowest common multiple of 592,799,271,748,306 is 12690331632.
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.
592 x 799 x 271 x 748 x 306 = 29340046733184
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.
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
799 : 1, 17, 47, 799
271 : 1, 271
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 592,799,271,748,306, is 1.
Now, the common factors can be found like this.
592:2x 2x 2x 2x 37
799:17x 47
271:271
748:2x 2x 11x 17
306:2x 3x 3x 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 2x 2x 17x 17 = 2312
Therefore, the value for common factors is 2312.
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 = 29340046733184/(1x2312)
LCM = 29340046733184/2312
LCM = 12690331632
Thus, we can understand that the LCM of 592,799,271,748,306 is 12690331632.
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FAQs on LCM of 592, 799, 271, 748, 306
1. What is the LCM of 592, 799, 271, 748, 306?
Answer: LCM of 592, 799, 271, 748, 306 is 12690331632.
2. How to calculate the LCM of 592, 799, 271, 748, 306?
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 592, 799, 271, 748, 306.
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}.