Find the LCM of 657, 717, 269, 478 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, 717, 269, 478. So, keep reading to learn more.
Given numbers are 657,717,269,478
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 657,717,269,478 is 84478374.
Find LCM of 657,717,269,478 with Prime Factorization
3 | 657, 717, 269, 478 |
239 | 219, 239, 269, 478 |
219, 1, 269, 2 |
Multiply the prime numbers at the bottom and the left side.
3 x 239 x 219 x 1 x 269 x 2 = 84478374
Therefore, the lowest common multiple of 657,717,269,478 is 84478374.
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 717 x 269 x 478 = 60570994158
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
717 : 1, 3, 239, 717
269 : 1, 269
478 : 1, 2, 239, 478
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 657,717,269,478, is 1.
Now, the common factors can be found like this.
657:3x 3x 73
717:3x 239
269:269
478:2x 239
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 239 = 717
Therefore, the value for common factors is 717.
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 = 60570994158/(1x717)
LCM = 60570994158/717
LCM = 84478374
Thus, we can understand that the LCM of 657,717,269,478 is 84478374.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 657, 717, 269, 478?
Answer: LCM of 657, 717, 269, 478 is 84478374.
2. How to calculate the LCM of 657, 717, 269, 478?
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, 717, 269, 478.
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}.