Find the LCM of 753, 469, 191, 286, 748 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 753, 469, 191, 286, 748. So, keep reading to learn more.
Given numbers are 753,469,191,286,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 753,469,191,286,748 is 655912845588.
Find LCM of 753,469,191,286,748 with Prime Factorization
2 | 753, 469, 191, 286, 748 |
11 | 753, 469, 191, 143, 374 |
753, 469, 191, 13, 34 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 753 x 469 x 191 x 13 x 34 = 655912845588
Therefore, the lowest common multiple of 753,469,191,286,748 is 655912845588.
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.
753 x 469 x 191 x 286 x 748 = 14430082602936
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.
753 : 1, 3, 251, 753
469 : 1, 7, 67, 469
191 : 1, 191
286 : 1, 2, 11, 13, 22, 26, 143, 286
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 753,469,191,286,748, is 1.
Now, the common factors can be found like this.
753:3x 251
469:7x 67
191:191
286:2x 11x 13
748:2x 2x 11x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 14430082602936/(1x22)
LCM = 14430082602936/22
LCM = 655912845588
Thus, we can understand that the LCM of 753,469,191,286,748 is 655912845588.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 753, 469, 191, 286, 748?
Answer: LCM of 753, 469, 191, 286, 748 is 655912845588.
2. How to calculate the LCM of 753, 469, 191, 286, 748?
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 753, 469, 191, 286, 748.
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}.