Find the LCM of 745, 191, 646, 573 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 745, 191, 646, 573. So, keep reading to learn more.
Given numbers are 745,191,646,573
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 745,191,646,573 is 275767710.
Find LCM of 745,191,646,573 with Prime Factorization
191 | 745, 191, 646, 573 |
745, 1, 646, 3 |
Multiply the prime numbers at the bottom and the left side.
191 x 745 x 1 x 646 x 3 = 275767710
Therefore, the lowest common multiple of 745,191,646,573 is 275767710.
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.
745 x 191 x 646 x 573 = 52671632610
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.
745 : 1, 5, 149, 745
191 : 1, 191
646 : 1, 2, 17, 19, 34, 38, 323, 646
573 : 1, 3, 191, 573
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 745,191,646,573, is 1.
Now, the common factors can be found like this.
745:5x 149
191:191
646:2x 17x 19
573:3x 191
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
191 = 191
Therefore, the value for common factors is 191.
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 = 52671632610/(1x191)
LCM = 52671632610/191
LCM = 275767710
Thus, we can understand that the LCM of 745,191,646,573 is 275767710.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 745, 191, 646, 573?
Answer: LCM of 745, 191, 646, 573 is 275767710.
2. How to calculate the LCM of 745, 191, 646, 573?
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 745, 191, 646, 573.
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}.