LCM of 361, 842, 209, 870, 175
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 361, 842, 209, 870, 175 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 361, 842, 209, 870, 175. So, keep reading to learn more.
Given numbers are 361,842,209,870,175
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 361,842,209,870,175 is 50906035950.
Find LCM of 361,842,209,870,175 with Prime Factorization
| 2 | 361, 842, 209, 870, 175 |
| 5 | 361, 421, 209, 435, 175 |
| 19 | 361, 421, 209, 87, 35 |
| 19, 421, 11, 87, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 19 x 19 x 421 x 11 x 87 x 35 = 50906035950
Therefore, the lowest common multiple of 361,842,209,870,175 is 50906035950.
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.
361 x 842 x 209 x 870 x 175 = 9672146830500
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.
361 : 1, 19, 361
842 : 1, 2, 421, 842
209 : 1, 11, 19, 209
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
175 : 1, 5, 7, 25, 35, 175
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,842,209,870,175, is 1.
Now, the common factors can be found like this.
361:19x 19
842:2x 421
209:11x 19
870:2x 3x 5x 29
175:5x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 19 = 190
Therefore, the value for common factors is 190.
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 = 9672146830500/(1x190)
LCM = 9672146830500/190
LCM = 50906035950
Thus, we can understand that the LCM of 361,842,209,870,175 is 50906035950.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 361, 842, 209, 870, 175
1. What is the LCM of 361, 842, 209, 870, 175?
Answer: LCM of 361, 842, 209, 870, 175 is 50906035950.
2. How to calculate the LCM of 361, 842, 209, 870, 175?
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 361, 842, 209, 870, 175.
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}.