LCM of 259, 851, 556, 492
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 259, 851, 556, 492 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 259, 851, 556, 492. So, keep reading to learn more.
Given numbers are 259,851,556,492
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 259,851,556,492 is 407387316.
Find LCM of 259,851,556,492 with Prime Factorization
| 2 | 259, 851, 556, 492 |
| 2 | 259, 851, 278, 246 |
| 37 | 259, 851, 139, 123 |
| 7, 23, 139, 123 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 37 x 7 x 23 x 139 x 123 = 407387316
Therefore, the lowest common multiple of 259,851,556,492 is 407387316.
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.
259 x 851 x 556 x 492 = 60293322768
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.
259 : 1, 7, 37, 259
851 : 1, 23, 37, 851
556 : 1, 2, 4, 139, 278, 556
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 259,851,556,492, is 1.
Now, the common factors can be found like this.
259:7x 37
851:23x 37
556:2x 2x 139
492:2x 2x 3x 41
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 37 = 148
Therefore, the value for common factors is 148.
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 = 60293322768/(1x148)
LCM = 60293322768/148
LCM = 407387316
Thus, we can understand that the LCM of 259,851,556,492 is 407387316.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 259, 851, 556, 492
1. What is the LCM of 259, 851, 556, 492?
Answer: LCM of 259, 851, 556, 492 is 407387316.
2. How to calculate the LCM of 259, 851, 556, 492?
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 259, 851, 556, 492.
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}.