Find the LCM of 657, 755, 671, 269, 143 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, 755, 671, 269, 143. So, keep reading to learn more.
Given numbers are 657,755,671,269,143
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 657,755,671,269,143 is 1163939679045.
Find LCM of 657,755,671,269,143 with Prime Factorization
11 | 657, 755, 671, 269, 143 |
657, 755, 61, 269, 13 |
Multiply the prime numbers at the bottom and the left side.
11 x 657 x 755 x 61 x 269 x 13 = 1163939679045
Therefore, the lowest common multiple of 657,755,671,269,143 is 1163939679045.
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 755 x 671 x 269 x 143 = 12803336469495
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
755 : 1, 5, 151, 755
671 : 1, 11, 61, 671
269 : 1, 269
143 : 1, 11, 13, 143
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 657,755,671,269,143, is 1.
Now, the common factors can be found like this.
657:3x 3x 73
755:5x 151
671:11x 61
269:269
143:11x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 12803336469495/(1x11)
LCM = 12803336469495/11
LCM = 1163939679045
Thus, we can understand that the LCM of 657,755,671,269,143 is 1163939679045.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 657, 755, 671, 269, 143?
Answer: LCM of 657, 755, 671, 269, 143 is 1163939679045.
2. How to calculate the LCM of 657, 755, 671, 269, 143?
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, 755, 671, 269, 143.
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}.