LCM of 361, 783, 600, 151, 870
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 361, 783, 600, 151, 870 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, 783, 600, 151, 870. So, keep reading to learn more.
Given numbers are 361,783,600,151,870
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 361,783,600,151,870 is 8536422600.
Find LCM of 361,783,600,151,870 with Prime Factorization
| 2 | 361, 783, 600, 151, 870 |
| 3 | 361, 783, 300, 151, 435 |
| 5 | 361, 261, 100, 151, 145 |
| 29 | 361, 261, 20, 151, 29 |
| 361, 9, 20, 151, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 29 x 361 x 9 x 20 x 151 x 1 = 8536422600
Therefore, the lowest common multiple of 361,783,600,151,870 is 8536422600.
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 783 x 600 x 151 x 870 = 22280062986000
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
783 : 1, 3, 9, 27, 29, 87, 261, 783
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
151 : 1, 151
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,783,600,151,870, is 1.
Now, the common factors can be found like this.
361:19x 19
783:3x 3x 3x 29
600:2x 2x 2x 3x 5x 5
151:151
870:2x 3x 5x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 29 = 2610
Therefore, the value for common factors is 2610.
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 = 22280062986000/(1x2610)
LCM = 22280062986000/2610
LCM = 8536422600
Thus, we can understand that the LCM of 361,783,600,151,870 is 8536422600.
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, 783, 600, 151, 870
1. What is the LCM of 361, 783, 600, 151, 870?
Answer: LCM of 361, 783, 600, 151, 870 is 8536422600.
2. How to calculate the LCM of 361, 783, 600, 151, 870?
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, 783, 600, 151, 870.
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}.