Find the LCM of 950, 926, 684, 463 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, 926, 684, 463. So, keep reading to learn more.
Given numbers are 950,926,684,463
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 950,926,684,463 is 7917300.
Find LCM of 950,926,684,463 with Prime Factorization
2 | 950, 926, 684, 463 |
19 | 475, 463, 342, 463 |
463 | 25, 463, 18, 463 |
25, 1, 18, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 463 x 25 x 1 x 18 x 1 = 7917300
Therefore, the lowest common multiple of 950,926,684,463 is 7917300.
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 926 x 684 x 463 = 278593952400
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
926 : 1, 2, 463, 926
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
463 : 1, 463
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 950,926,684,463, is 1.
Now, the common factors can be found like this.
950:2x 5x 5x 19
926:2x 463
684:2x 2x 3x 3x 19
463:463
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 19x 463 = 35188
Therefore, the value for common factors is 35188.
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 = 278593952400/(1x35188)
LCM = 278593952400/35188
LCM = 7917300
Thus, we can understand that the LCM of 950,926,684,463 is 7917300.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 950, 926, 684, 463?
Answer: LCM of 950, 926, 684, 463 is 7917300.
2. How to calculate the LCM of 950, 926, 684, 463?
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, 926, 684, 463.
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}.