Find the LCM of 960, 602, 528, 956, 201 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 960, 602, 528, 956, 201. So, keep reading to learn more.
Given numbers are 960,602,528,956,201
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 960,602,528,956,201 is 50898281280.
Find LCM of 960,602,528,956,201 with Prime Factorization
2 | 960, 602, 528, 956, 201 |
2 | 480, 301, 264, 478, 201 |
2 | 240, 301, 132, 239, 201 |
2 | 120, 301, 66, 239, 201 |
3 | 60, 301, 33, 239, 201 |
20, 301, 11, 239, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 20 x 301 x 11 x 239 x 67 = 50898281280
Therefore, the lowest common multiple of 960,602,528,956,201 is 50898281280.
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.
960 x 602 x 528 x 956 x 201 = 58634820034560
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.
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
602 : 1, 2, 7, 14, 43, 86, 301, 602
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
956 : 1, 2, 4, 239, 478, 956
201 : 1, 3, 67, 201
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,602,528,956,201, is 1.
Now, the common factors can be found like this.
960:2x 2x 2x 2x 2x 2x 3x 5
602:2x 7x 43
528:2x 2x 2x 2x 3x 11
956:2x 2x 239
201:3x 67
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 2x 2x 2x 2x 2x 3x 3 = 1152
Therefore, the value for common factors is 1152.
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 = 58634820034560/(1x1152)
LCM = 58634820034560/1152
LCM = 50898281280
Thus, we can understand that the LCM of 960,602,528,956,201 is 50898281280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 960, 602, 528, 956, 201?
Answer: LCM of 960, 602, 528, 956, 201 is 50898281280.
2. How to calculate the LCM of 960, 602, 528, 956, 201?
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 960, 602, 528, 956, 201.
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}.