Find the LCM of 251, 603, 552, 464 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 251, 603, 552, 464. So, keep reading to learn more.
Given numbers are 251,603,552,464
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 251,603,552,464 is 1615239216.
Find LCM of 251,603,552,464 with Prime Factorization
2 | 251, 603, 552, 464 |
2 | 251, 603, 276, 232 |
2 | 251, 603, 138, 116 |
3 | 251, 603, 69, 58 |
251, 201, 23, 58 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 251 x 201 x 23 x 58 = 1615239216
Therefore, the lowest common multiple of 251,603,552,464 is 1615239216.
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.
251 x 603 x 552 x 464 = 38765741184
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.
251 : 1, 251
603 : 1, 3, 9, 67, 201, 603
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 251,603,552,464, is 1.
Now, the common factors can be found like this.
251:251
603:3x 3x 67
552:2x 2x 2x 3x 23
464:2x 2x 2x 2x 29
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 3 = 24
Therefore, the value for common factors is 24.
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 = 38765741184/(1x24)
LCM = 38765741184/24
LCM = 1615239216
Thus, we can understand that the LCM of 251,603,552,464 is 1615239216.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 251, 603, 552, 464?
Answer: LCM of 251, 603, 552, 464 is 1615239216.
2. How to calculate the LCM of 251, 603, 552, 464?
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 251, 603, 552, 464.
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}.