Find the LCM of 413, 533, 737, 694, 649 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 413, 533, 737, 694, 649. So, keep reading to learn more.
Given numbers are 413,533,737,694,649
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 413,533,737,694,649 is 112591140662.
Find LCM of 413,533,737,694,649 with Prime Factorization
11 | 413, 533, 737, 694, 649 |
59 | 413, 533, 67, 694, 59 |
7, 533, 67, 694, 1 |
Multiply the prime numbers at the bottom and the left side.
11 x 59 x 7 x 533 x 67 x 694 x 1 = 112591140662
Therefore, the lowest common multiple of 413,533,737,694,649 is 112591140662.
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.
413 x 533 x 737 x 694 x 649 = 73071650289638
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.
413 : 1, 7, 59, 413
533 : 1, 13, 41, 533
737 : 1, 11, 67, 737
694 : 1, 2, 347, 694
649 : 1, 11, 59, 649
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 413,533,737,694,649, is 1.
Now, the common factors can be found like this.
413:7x 59
533:13x 41
737:11x 67
694:2x 347
649:11x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 59 = 649
Therefore, the value for common factors is 649.
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 = 73071650289638/(1x649)
LCM = 73071650289638/649
LCM = 112591140662
Thus, we can understand that the LCM of 413,533,737,694,649 is 112591140662.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 413, 533, 737, 694, 649?
Answer: LCM of 413, 533, 737, 694, 649 is 112591140662.
2. How to calculate the LCM of 413, 533, 737, 694, 649?
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 413, 533, 737, 694, 649.
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}.