Find the LCM of 157, 351, 262, 565, 262 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 157, 351, 262, 565, 262. So, keep reading to learn more.
Given numbers are 157,351,262,565,262
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 157,351,262,565,262 is 8157489210.
Find LCM of 157,351,262,565,262 with Prime Factorization
2 | 157, 351, 262, 565, 262 |
131 | 157, 351, 131, 565, 131 |
157, 351, 1, 565, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 131 x 157 x 351 x 1 x 565 x 1 = 8157489210
Therefore, the lowest common multiple of 157,351,262,565,262 is 8157489210.
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.
157 x 351 x 262 x 565 x 262 = 2137262173020
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.
157 : 1, 157
351 : 1, 3, 9, 13, 27, 39, 117, 351
262 : 1, 2, 131, 262
565 : 1, 5, 113, 565
262 : 1, 2, 131, 262
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 157,351,262,565,262, is 1.
Now, the common factors can be found like this.
157:157
351:3x 3x 3x 13
262:2x 131
565:5x 113
262:2x 131
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 131 = 262
Therefore, the value for common factors is 262.
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 = 2137262173020/(1x262)
LCM = 2137262173020/262
LCM = 8157489210
Thus, we can understand that the LCM of 157,351,262,565,262 is 8157489210.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 157, 351, 262, 565, 262?
Answer: LCM of 157, 351, 262, 565, 262 is 8157489210.
2. How to calculate the LCM of 157, 351, 262, 565, 262?
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 157, 351, 262, 565, 262.
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}.