Find the LCM of 642, 656, 716, 533 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 642, 656, 716, 533. So, keep reading to learn more.
Given numbers are 642,656,716,533
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 642,656,716,533 is 490010352.
Find LCM of 642,656,716,533 with Prime Factorization
2 | 642, 656, 716, 533 |
2 | 321, 328, 358, 533 |
41 | 321, 164, 179, 533 |
321, 4, 179, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 41 x 321 x 4 x 179 x 13 = 490010352
Therefore, the lowest common multiple of 642,656,716,533 is 490010352.
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.
642 x 656 x 716 x 533 = 160723395456
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.
642 : 1, 2, 3, 6, 107, 214, 321, 642
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
716 : 1, 2, 4, 179, 358, 716
533 : 1, 13, 41, 533
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,656,716,533, is 1.
Now, the common factors can be found like this.
642:2x 3x 107
656:2x 2x 2x 2x 41
716:2x 2x 179
533:13x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 41 = 328
Therefore, the value for common factors is 328.
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 = 160723395456/(1x328)
LCM = 160723395456/328
LCM = 490010352
Thus, we can understand that the LCM of 642,656,716,533 is 490010352.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 642, 656, 716, 533?
Answer: LCM of 642, 656, 716, 533 is 490010352.
2. How to calculate the LCM of 642, 656, 716, 533?
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 642, 656, 716, 533.
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}.