Find the LCM of 507, 952, 437, 901 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 507, 952, 437, 901. So, keep reading to learn more.
Given numbers are 507,952,437,901
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 507,952,437,901 is 11178980904.
Find LCM of 507,952,437,901 with Prime Factorization
17 | 507, 952, 437, 901 |
507, 56, 437, 53 |
Multiply the prime numbers at the bottom and the left side.
17 x 507 x 56 x 437 x 53 = 11178980904
Therefore, the lowest common multiple of 507,952,437,901 is 11178980904.
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.
507 x 952 x 437 x 901 = 190042675368
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.
507 : 1, 3, 13, 39, 169, 507
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
437 : 1, 19, 23, 437
901 : 1, 17, 53, 901
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,952,437,901, is 1.
Now, the common factors can be found like this.
507:3x 13x 13
952:2x 2x 2x 7x 17
437:19x 23
901:17x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17 = 17
Therefore, the value for common factors is 17.
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 = 190042675368/(1x17)
LCM = 190042675368/17
LCM = 11178980904
Thus, we can understand that the LCM of 507,952,437,901 is 11178980904.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 507, 952, 437, 901?
Answer: LCM of 507, 952, 437, 901 is 11178980904.
2. How to calculate the LCM of 507, 952, 437, 901?
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 507, 952, 437, 901.
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}.