Find the LCM of 152, 202, 119, 705, 459 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 152, 202, 119, 705, 459. So, keep reading to learn more.
Given numbers are 152,202,119,705,459
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 152,202,119,705,459 is 11591604360.
Find LCM of 152,202,119,705,459 with Prime Factorization
2 | 152, 202, 119, 705, 459 |
3 | 76, 101, 119, 705, 459 |
17 | 76, 101, 119, 235, 153 |
76, 101, 7, 235, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 76 x 101 x 7 x 235 x 9 = 11591604360
Therefore, the lowest common multiple of 152,202,119,705,459 is 11591604360.
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.
152 x 202 x 119 x 705 x 459 = 1182343644720
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.
152 : 1, 2, 4, 8, 19, 38, 76, 152
202 : 1, 2, 101, 202
119 : 1, 7, 17, 119
705 : 1, 3, 5, 15, 47, 141, 235, 705
459 : 1, 3, 9, 17, 27, 51, 153, 459
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 152,202,119,705,459, is 1.
Now, the common factors can be found like this.
152:2x 2x 2x 19
202:2x 101
119:7x 17
705:3x 5x 47
459:3x 3x 3x 17
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 = 1182343644720/(1x102)
LCM = 1182343644720/102
LCM = 11591604360
Thus, we can understand that the LCM of 152,202,119,705,459 is 11591604360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 152, 202, 119, 705, 459?
Answer: LCM of 152, 202, 119, 705, 459 is 11591604360.
2. How to calculate the LCM of 152, 202, 119, 705, 459?
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 152, 202, 119, 705, 459.
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}.