Find the LCM of 950, 663, 422, 374, 188 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 950, 663, 422, 374, 188. So, keep reading to learn more.
Given numbers are 950,663,422,374,188
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 950,663,422,374,188 is 137416893900.
Find LCM of 950,663,422,374,188 with Prime Factorization
2 | 950, 663, 422, 374, 188 |
17 | 475, 663, 211, 187, 94 |
475, 39, 211, 11, 94 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 475 x 39 x 211 x 11 x 94 = 137416893900
Therefore, the lowest common multiple of 950,663,422,374,188 is 137416893900.
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.
950 x 663 x 422 x 374 x 188 = 18688697570400
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.
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
663 : 1, 3, 13, 17, 39, 51, 221, 663
422 : 1, 2, 211, 422
374 : 1, 2, 11, 17, 22, 34, 187, 374
188 : 1, 2, 4, 47, 94, 188
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 950,663,422,374,188, is 1.
Now, the common factors can be found like this.
950:2x 5x 5x 19
663:3x 13x 17
422:2x 211
374:2x 11x 17
188:2x 2x 47
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 17 = 136
Therefore, the value for common factors is 136.
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 = 18688697570400/(1x136)
LCM = 18688697570400/136
LCM = 137416893900
Thus, we can understand that the LCM of 950,663,422,374,188 is 137416893900.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 950, 663, 422, 374, 188?
Answer: LCM of 950, 663, 422, 374, 188 is 137416893900.
2. How to calculate the LCM of 950, 663, 422, 374, 188?
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 950, 663, 422, 374, 188.
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}.