Find the LCM of 528, 207, 703, 247, 957 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 528, 207, 703, 247, 957. So, keep reading to learn more.
Given numbers are 528,207,703,247,957
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 528,207,703,247,957 is 9655609392.
Find LCM of 528,207,703,247,957 with Prime Factorization
3 | 528, 207, 703, 247, 957 |
11 | 176, 69, 703, 247, 319 |
19 | 16, 69, 703, 247, 29 |
16, 69, 37, 13, 29 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 19 x 16 x 69 x 37 x 13 x 29 = 9655609392
Therefore, the lowest common multiple of 528,207,703,247,957 is 9655609392.
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.
528 x 207 x 703 x 247 x 957 = 18162201266352
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.
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
207 : 1, 3, 9, 23, 69, 207
703 : 1, 19, 37, 703
247 : 1, 13, 19, 247
957 : 1, 3, 11, 29, 33, 87, 319, 957
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,207,703,247,957, is 1.
Now, the common factors can be found like this.
528:2x 2x 2x 2x 3x 11
207:3x 3x 23
703:19x 37
247:13x 19
957:3x 11x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 11x 19 = 1881
Therefore, the value for common factors is 1881.
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 = 18162201266352/(1x1881)
LCM = 18162201266352/1881
LCM = 9655609392
Thus, we can understand that the LCM of 528,207,703,247,957 is 9655609392.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 528, 207, 703, 247, 957?
Answer: LCM of 528, 207, 703, 247, 957 is 9655609392.
2. How to calculate the LCM of 528, 207, 703, 247, 957?
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 528, 207, 703, 247, 957.
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}.