Find the LCM of 573, 430, 628, 231 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 573, 430, 628, 231. So, keep reading to learn more.
Given numbers are 573,430,628,231
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 573,430,628,231 is 5957217420.
Find LCM of 573,430,628,231 with Prime Factorization
2 | 573, 430, 628, 231 |
3 | 573, 215, 314, 231 |
191, 215, 314, 77 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 191 x 215 x 314 x 77 = 5957217420
Therefore, the lowest common multiple of 573,430,628,231 is 5957217420.
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.
573 x 430 x 628 x 231 = 35743304520
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.
573 : 1, 3, 191, 573
430 : 1, 2, 5, 10, 43, 86, 215, 430
628 : 1, 2, 4, 157, 314, 628
231 : 1, 3, 7, 11, 21, 33, 77, 231
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 573,430,628,231, is 1.
Now, the common factors can be found like this.
573:3x 191
430:2x 5x 43
628:2x 2x 157
231:3x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 35743304520/(1x6)
LCM = 35743304520/6
LCM = 5957217420
Thus, we can understand that the LCM of 573,430,628,231 is 5957217420.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 573, 430, 628, 231?
Answer: LCM of 573, 430, 628, 231 is 5957217420.
2. How to calculate the LCM of 573, 430, 628, 231?
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 573, 430, 628, 231.
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}.