Find the LCM of 638, 980, 319, 136, 374 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, 980, 319, 136, 374. So, keep reading to learn more.
Given numbers are 638,980,319,136,374
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 638,980,319,136,374 is 10629080.
Find LCM of 638,980,319,136,374 with Prime Factorization
2 | 638, 980, 319, 136, 374 |
2 | 319, 490, 319, 68, 187 |
11 | 319, 245, 319, 34, 187 |
17 | 29, 245, 29, 34, 17 |
29 | 29, 245, 29, 2, 1 |
1, 245, 1, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 17 x 29 x 1 x 245 x 1 x 2 x 1 = 10629080
Therefore, the lowest common multiple of 638,980,319,136,374 is 10629080.
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 980 x 319 x 136 x 374 = 10144904147840
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
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
319 : 1, 11, 29, 319
136 : 1, 2, 4, 8, 17, 34, 68, 136
374 : 1, 2, 11, 17, 22, 34, 187, 374
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,980,319,136,374, is 1.
Now, the common factors can be found like this.
638:2x 11x 29
980:2x 2x 5x 7x 7
319:11x 29
136:2x 2x 2x 17
374:2x 11x 17
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 2x 11x 11x 17x 29 = 954448
Therefore, the value for common factors is 954448.
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 = 10144904147840/(1x954448)
LCM = 10144904147840/954448
LCM = 10629080
Thus, we can understand that the LCM of 638,980,319,136,374 is 10629080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 638, 980, 319, 136, 374?
Answer: LCM of 638, 980, 319, 136, 374 is 10629080.
2. How to calculate the LCM of 638, 980, 319, 136, 374?
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, 980, 319, 136, 374.
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}.