Find the LCM of 649, 826, 755, 733, 604 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 649, 826, 755, 733, 604. So, keep reading to learn more.
Given numbers are 649,826,755,733,604
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 649,826,755,733,604 is 10056657380.
Find LCM of 649,826,755,733,604 with Prime Factorization
2 | 649, 826, 755, 733, 604 |
59 | 649, 413, 755, 733, 302 |
151 | 11, 7, 755, 733, 302 |
11, 7, 5, 733, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 59 x 151 x 11 x 7 x 5 x 733 x 2 = 10056657380
Therefore, the lowest common multiple of 649,826,755,733,604 is 10056657380.
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.
649 x 826 x 755 x 733 x 604 = 179189521196840
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.
649 : 1, 11, 59, 649
826 : 1, 2, 7, 14, 59, 118, 413, 826
755 : 1, 5, 151, 755
733 : 1, 733
604 : 1, 2, 4, 151, 302, 604
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,826,755,733,604, is 1.
Now, the common factors can be found like this.
649:11x 59
826:2x 7x 59
755:5x 151
733:733
604:2x 2x 151
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 59x 151 = 17818
Therefore, the value for common factors is 17818.
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 = 179189521196840/(1x17818)
LCM = 179189521196840/17818
LCM = 10056657380
Thus, we can understand that the LCM of 649,826,755,733,604 is 10056657380.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 649, 826, 755, 733, 604?
Answer: LCM of 649, 826, 755, 733, 604 is 10056657380.
2. How to calculate the LCM of 649, 826, 755, 733, 604?
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 649, 826, 755, 733, 604.
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}.