Find the LCM of 251, 549, 572, 172 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, 549, 572, 172. So, keep reading to learn more.
Given numbers are 251,549,572,172
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 251,549,572,172 is 3389304204.
Find LCM of 251,549,572,172 with Prime Factorization
2 | 251, 549, 572, 172 |
2 | 251, 549, 286, 86 |
251, 549, 143, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 251 x 549 x 143 x 43 = 3389304204
Therefore, the lowest common multiple of 251,549,572,172 is 3389304204.
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 549 x 572 x 172 = 13557216816
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
549 : 1, 3, 9, 61, 183, 549
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
172 : 1, 2, 4, 43, 86, 172
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 251,549,572,172, is 1.
Now, the common factors can be found like this.
251:251
549:3x 3x 61
572:2x 2x 11x 13
172:2x 2x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 13557216816/(1x4)
LCM = 13557216816/4
LCM = 3389304204
Thus, we can understand that the LCM of 251,549,572,172 is 3389304204.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 251, 549, 572, 172?
Answer: LCM of 251, 549, 572, 172 is 3389304204.
2. How to calculate the LCM of 251, 549, 572, 172?
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, 549, 572, 172.
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}.