Find the LCM of 290, 908, 667, 501, 532 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 290, 908, 667, 501, 532. So, keep reading to learn more.
Given numbers are 290,908,667,501,532
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 290,908,667,501,532 is 201776717940.
Find LCM of 290,908,667,501,532 with Prime Factorization
2 | 290, 908, 667, 501, 532 |
2 | 145, 454, 667, 501, 266 |
29 | 145, 227, 667, 501, 133 |
5, 227, 23, 501, 133 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 29 x 5 x 227 x 23 x 501 x 133 = 201776717940
Therefore, the lowest common multiple of 290,908,667,501,532 is 201776717940.
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.
290 x 908 x 667 x 501 x 532 = 46812198562080
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.
290 : 1, 2, 5, 10, 29, 58, 145, 290
908 : 1, 2, 4, 227, 454, 908
667 : 1, 23, 29, 667
501 : 1, 3, 167, 501
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,908,667,501,532, is 1.
Now, the common factors can be found like this.
290:2x 5x 29
908:2x 2x 227
667:23x 29
501:3x 167
532:2x 2x 7x 19
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 29 = 232
Therefore, the value for common factors is 232.
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 = 46812198562080/(1x232)
LCM = 46812198562080/232
LCM = 201776717940
Thus, we can understand that the LCM of 290,908,667,501,532 is 201776717940.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 290, 908, 667, 501, 532?
Answer: LCM of 290, 908, 667, 501, 532 is 201776717940.
2. How to calculate the LCM of 290, 908, 667, 501, 532?
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 290, 908, 667, 501, 532.
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}.