Find the LCM of 513, 269, 336, 269, 851 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 513, 269, 336, 269, 851. So, keep reading to learn more.
Given numbers are 513,269,336,269,851
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,269,336,269,851 is 13152770064.
Find LCM of 513,269,336,269,851 with Prime Factorization
3 | 513, 269, 336, 269, 851 |
269 | 171, 269, 112, 269, 851 |
171, 1, 112, 1, 851 |
Multiply the prime numbers at the bottom and the left side.
3 x 269 x 171 x 1 x 112 x 1 x 851 = 13152770064
Therefore, the lowest common multiple of 513,269,336,269,851 is 13152770064.
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.
513 x 269 x 336 x 269 x 851 = 10614285441648
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
269 : 1, 269
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
269 : 1, 269
851 : 1, 23, 37, 851
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,269,336,269,851, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
269:269
336:2x 2x 2x 2x 3x 7
269:269
851:23x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 269 = 807
Therefore, the value for common factors is 807.
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 = 10614285441648/(1x807)
LCM = 10614285441648/807
LCM = 13152770064
Thus, we can understand that the LCM of 513,269,336,269,851 is 13152770064.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 513, 269, 336, 269, 851?
Answer: LCM of 513, 269, 336, 269, 851 is 13152770064.
2. How to calculate the LCM of 513, 269, 336, 269, 851?
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 513, 269, 336, 269, 851.
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}.