LCM of 312, 559, 526, 598
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 312, 559, 526, 598 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 312, 559, 526, 598. So, keep reading to learn more.
Given numbers are 312,559,526,598
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 312,559,526,598 is 81153384.
Find LCM of 312,559,526,598 with Prime Factorization
| 2 | 312, 559, 526, 598 |
| 13 | 156, 559, 263, 299 |
| 12, 43, 263, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 12 x 43 x 263 x 23 = 81153384
Therefore, the lowest common multiple of 312,559,526,598 is 81153384.
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.
312 x 559 x 526 x 598 = 54859687584
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.
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
559 : 1, 13, 43, 559
526 : 1, 2, 263, 526
598 : 1, 2, 13, 23, 26, 46, 299, 598
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,559,526,598, is 1.
Now, the common factors can be found like this.
312:2x 2x 2x 3x 13
559:13x 43
526:2x 263
598:2x 13x 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 13x 13 = 676
Therefore, the value for common factors is 676.
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 = 54859687584/(1x676)
LCM = 54859687584/676
LCM = 81153384
Thus, we can understand that the LCM of 312,559,526,598 is 81153384.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 312, 559, 526, 598
1. What is the LCM of 312, 559, 526, 598?
Answer: LCM of 312, 559, 526, 598 is 81153384.
2. How to calculate the LCM of 312, 559, 526, 598?
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 312, 559, 526, 598.
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}.