Find the LCM of 469, 955, 540, 948, 772 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 469, 955, 540, 948, 772. So, keep reading to learn more.
Given numbers are 469,955,540,948,772
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 469,955,540,948,772 is 737537947020.
Find LCM of 469,955,540,948,772 with Prime Factorization
2 | 469, 955, 540, 948, 772 |
2 | 469, 955, 270, 474, 386 |
3 | 469, 955, 135, 237, 193 |
5 | 469, 955, 45, 79, 193 |
469, 191, 9, 79, 193 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 469 x 191 x 9 x 79 x 193 = 737537947020
Therefore, the lowest common multiple of 469,955,540,948,772 is 737537947020.
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.
469 x 955 x 540 x 948 x 772 = 177009107284800
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.
469 : 1, 7, 67, 469
955 : 1, 5, 191, 955
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
772 : 1, 2, 4, 193, 386, 772
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,955,540,948,772, is 1.
Now, the common factors can be found like this.
469:7x 67
955:5x 191
540:2x 2x 3x 3x 3x 5
948:2x 2x 3x 79
772:2x 2x 193
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 3x 5 = 240
Therefore, the value for common factors is 240.
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 = 177009107284800/(1x240)
LCM = 177009107284800/240
LCM = 737537947020
Thus, we can understand that the LCM of 469,955,540,948,772 is 737537947020.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 469, 955, 540, 948, 772?
Answer: LCM of 469, 955, 540, 948, 772 is 737537947020.
2. How to calculate the LCM of 469, 955, 540, 948, 772?
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 469, 955, 540, 948, 772.
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}.