LCM of 356, 909, 824, 325, 257
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 356, 909, 824, 325, 257 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 356, 909, 824, 325, 257. So, keep reading to learn more.
Given numbers are 356,909,824,325,257
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 356,909,824,325,257 is 5567978964600.
Find LCM of 356,909,824,325,257 with Prime Factorization
| 2 | 356, 909, 824, 325, 257 |
| 2 | 178, 909, 412, 325, 257 |
| 89, 909, 206, 325, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 89 x 909 x 206 x 325 x 257 = 5567978964600
Therefore, the lowest common multiple of 356,909,824,325,257 is 5567978964600.
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.
356 x 909 x 824 x 325 x 257 = 22271915858400
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.
356 : 1, 2, 4, 89, 178, 356
909 : 1, 3, 9, 101, 303, 909
824 : 1, 2, 4, 8, 103, 206, 412, 824
325 : 1, 5, 13, 25, 65, 325
257 : 1, 257
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 356,909,824,325,257, is 1.
Now, the common factors can be found like this.
356:2x 2x 89
909:3x 3x 101
824:2x 2x 2x 103
325:5x 5x 13
257:257
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 22271915858400/(1x4)
LCM = 22271915858400/4
LCM = 5567978964600
Thus, we can understand that the LCM of 356,909,824,325,257 is 5567978964600.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 356, 909, 824, 325, 257
1. What is the LCM of 356, 909, 824, 325, 257?
Answer: LCM of 356, 909, 824, 325, 257 is 5567978964600.
2. How to calculate the LCM of 356, 909, 824, 325, 257?
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 356, 909, 824, 325, 257.
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}.