Find the LCM of 638, 330, 550, 277, 737 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 638, 330, 550, 277, 737. So, keep reading to learn more.
Given numbers are 638,330,550,277,737
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 638,330,550,277,737 is 888048150.
Find LCM of 638,330,550,277,737 with Prime Factorization
2 | 638, 330, 550, 277, 737 |
5 | 319, 165, 275, 277, 737 |
11 | 319, 33, 55, 277, 737 |
29, 3, 5, 277, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 29 x 3 x 5 x 277 x 67 = 888048150
Therefore, the lowest common multiple of 638,330,550,277,737 is 888048150.
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.
638 x 330 x 550 x 277 x 737 = 23639841753000
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.
638 : 1, 2, 11, 22, 29, 58, 319, 638
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
277 : 1, 277
737 : 1, 11, 67, 737
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,330,550,277,737, is 1.
Now, the common factors can be found like this.
638:2x 11x 29
330:2x 3x 5x 11
550:2x 5x 5x 11
277:277
737:11x 67
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 5x 11x 11x 11 = 26620
Therefore, the value for common factors is 26620.
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 = 23639841753000/(1x26620)
LCM = 23639841753000/26620
LCM = 888048150
Thus, we can understand that the LCM of 638,330,550,277,737 is 888048150.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 638, 330, 550, 277, 737?
Answer: LCM of 638, 330, 550, 277, 737 is 888048150.
2. How to calculate the LCM of 638, 330, 550, 277, 737?
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 638, 330, 550, 277, 737.
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}.