Find the LCM of 133, 180, 697, 472, 590 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 133, 180, 697, 472, 590. So, keep reading to learn more.
Given numbers are 133,180,697,472,590
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 133,180,697,472,590 is 1968969240.
Find LCM of 133,180,697,472,590 with Prime Factorization
2 | 133, 180, 697, 472, 590 |
2 | 133, 90, 697, 236, 295 |
5 | 133, 45, 697, 118, 295 |
59 | 133, 9, 697, 118, 59 |
133, 9, 697, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 59 x 133 x 9 x 697 x 2 x 1 = 1968969240
Therefore, the lowest common multiple of 133,180,697,472,590 is 1968969240.
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.
133 x 180 x 697 x 472 x 590 = 4646767406400
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.
133 : 1, 7, 19, 133
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
697 : 1, 17, 41, 697
472 : 1, 2, 4, 8, 59, 118, 236, 472
590 : 1, 2, 5, 10, 59, 118, 295, 590
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 133,180,697,472,590, is 1.
Now, the common factors can be found like this.
133:7x 19
180:2x 2x 3x 3x 5
697:17x 41
472:2x 2x 2x 59
590:2x 5x 59
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 5x 59 = 2360
Therefore, the value for common factors is 2360.
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 = 4646767406400/(1x2360)
LCM = 4646767406400/2360
LCM = 1968969240
Thus, we can understand that the LCM of 133,180,697,472,590 is 1968969240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 133, 180, 697, 472, 590?
Answer: LCM of 133, 180, 697, 472, 590 is 1968969240.
2. How to calculate the LCM of 133, 180, 697, 472, 590?
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 133, 180, 697, 472, 590.
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}.