Find the LCM of 957, 473, 473, 220, 463 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 957, 473, 473, 220, 463. So, keep reading to learn more.
Given numbers are 957,473,473,220,463
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 957,473,473,220,463 is 381058260.
Find LCM of 957,473,473,220,463 with Prime Factorization
11 | 957, 473, 473, 220, 463 |
43 | 87, 43, 43, 20, 463 |
87, 1, 1, 20, 463 |
Multiply the prime numbers at the bottom and the left side.
11 x 43 x 87 x 1 x 1 x 20 x 463 = 381058260
Therefore, the lowest common multiple of 957,473,473,220,463 is 381058260.
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.
957 x 473 x 473 x 220 x 463 = 21809107394580
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.
957 : 1, 3, 11, 29, 33, 87, 319, 957
473 : 1, 11, 43, 473
473 : 1, 11, 43, 473
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
463 : 1, 463
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,473,473,220,463, is 1.
Now, the common factors can be found like this.
957:3x 11x 29
473:11x 43
473:11x 43
220:2x 2x 5x 11
463:463
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 11x 11x 43 = 57233
Therefore, the value for common factors is 57233.
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 = 21809107394580/(1x57233)
LCM = 21809107394580/57233
LCM = 381058260
Thus, we can understand that the LCM of 957,473,473,220,463 is 381058260.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 957, 473, 473, 220, 463?
Answer: LCM of 957, 473, 473, 220, 463 is 381058260.
2. How to calculate the LCM of 957, 473, 473, 220, 463?
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 957, 473, 473, 220, 463.
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}.