Find the LCM of 657, 770, 231, 187, 753 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 657, 770, 231, 187, 753. So, keep reading to learn more.
Given numbers are 657,770,231,187,753
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 657,770,231,187,753 is 2158632630.
Find LCM of 657,770,231,187,753 with Prime Factorization
3 | 657, 770, 231, 187, 753 |
7 | 219, 770, 77, 187, 251 |
11 | 219, 110, 11, 187, 251 |
219, 10, 1, 17, 251 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 11 x 219 x 10 x 1 x 17 x 251 = 2158632630
Therefore, the lowest common multiple of 657,770,231,187,753 is 2158632630.
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.
657 x 770 x 231 x 187 x 753 = 16455256538490
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.
657 : 1, 3, 9, 73, 219, 657
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
231 : 1, 3, 7, 11, 21, 33, 77, 231
187 : 1, 11, 17, 187
753 : 1, 3, 251, 753
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 657,770,231,187,753, is 1.
Now, the common factors can be found like this.
657:3x 3x 73
770:2x 5x 7x 11
231:3x 7x 11
187:11x 17
753:3x 251
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 7x 11x 11 = 7623
Therefore, the value for common factors is 7623.
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 = 16455256538490/(1x7623)
LCM = 16455256538490/7623
LCM = 2158632630
Thus, we can understand that the LCM of 657,770,231,187,753 is 2158632630.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 657, 770, 231, 187, 753?
Answer: LCM of 657, 770, 231, 187, 753 is 2158632630.
2. How to calculate the LCM of 657, 770, 231, 187, 753?
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 657, 770, 231, 187, 753.
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}.