Find the LCM of 953, 391, 209, 825, 142 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 953, 391, 209, 825, 142. So, keep reading to learn more.
Given numbers are 953,391,209,825,142
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 953,391,209,825,142 is 829402904550.
Find LCM of 953,391,209,825,142 with Prime Factorization
11 | 953, 391, 209, 825, 142 |
953, 391, 19, 75, 142 |
Multiply the prime numbers at the bottom and the left side.
11 x 953 x 391 x 19 x 75 x 142 = 829402904550
Therefore, the lowest common multiple of 953,391,209,825,142 is 829402904550.
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.
953 x 391 x 209 x 825 x 142 = 9123431950050
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.
953 : 1, 953
391 : 1, 17, 23, 391
209 : 1, 11, 19, 209
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
142 : 1, 2, 71, 142
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 953,391,209,825,142, is 1.
Now, the common factors can be found like this.
953:953
391:17x 23
209:11x 19
825:3x 5x 5x 11
142:2x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 9123431950050/(1x11)
LCM = 9123431950050/11
LCM = 829402904550
Thus, we can understand that the LCM of 953,391,209,825,142 is 829402904550.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 953, 391, 209, 825, 142?
Answer: LCM of 953, 391, 209, 825, 142 is 829402904550.
2. How to calculate the LCM of 953, 391, 209, 825, 142?
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 953, 391, 209, 825, 142.
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}.