Find the LCM of 338, 969, 357, 526 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 338, 969, 357, 526. So, keep reading to learn more.
Given numbers are 338,969,357,526
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 338,969,357,526 is 602968002.
Find LCM of 338,969,357,526 with Prime Factorization
2 | 338, 969, 357, 526 |
3 | 169, 969, 357, 263 |
17 | 169, 323, 119, 263 |
169, 19, 7, 263 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 169 x 19 x 7 x 263 = 602968002
Therefore, the lowest common multiple of 338,969,357,526 is 602968002.
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.
338 x 969 x 357 x 526 = 61502736204
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.
338 : 1, 2, 13, 26, 169, 338
969 : 1, 3, 17, 19, 51, 57, 323, 969
357 : 1, 3, 7, 17, 21, 51, 119, 357
526 : 1, 2, 263, 526
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,969,357,526, is 1.
Now, the common factors can be found like this.
338:2x 13x 13
969:3x 17x 19
357:3x 7x 17
526:2x 263
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 17 = 102
Therefore, the value for common factors is 102.
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 = 61502736204/(1x102)
LCM = 61502736204/102
LCM = 602968002
Thus, we can understand that the LCM of 338,969,357,526 is 602968002.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 338, 969, 357, 526?
Answer: LCM of 338, 969, 357, 526 is 602968002.
2. How to calculate the LCM of 338, 969, 357, 526?
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 338, 969, 357, 526.
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}.