LCM of 460, 728, 178, 875, 130
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 460, 728, 178, 875, 130 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 460, 728, 178, 875, 130. So, keep reading to learn more.
Given numbers are 460,728,178,875,130
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 460,728,178,875,130 is 186277000.
Find LCM of 460,728,178,875,130 with Prime Factorization
| 2 | 460, 728, 178, 875, 130 |
| 2 | 230, 364, 89, 875, 65 |
| 5 | 115, 182, 89, 875, 65 |
| 7 | 23, 182, 89, 175, 13 |
| 13 | 23, 26, 89, 25, 13 |
| 23, 2, 89, 25, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 13 x 23 x 2 x 89 x 25 x 1 = 186277000
Therefore, the lowest common multiple of 460,728,178,875,130 is 186277000.
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.
460 x 728 x 178 x 875 x 130 = 6780482800000
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.
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
178 : 1, 2, 89, 178
875 : 1, 5, 7, 25, 35, 125, 175, 875
130 : 1, 2, 5, 10, 13, 26, 65, 130
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,728,178,875,130, is 1.
Now, the common factors can be found like this.
460:2x 2x 5x 23
728:2x 2x 2x 7x 13
178:2x 89
875:5x 5x 5x 7
130:2x 5x 13
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 2x 5x 5x 7x 13 = 36400
Therefore, the value for common factors is 36400.
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 = 6780482800000/(1x36400)
LCM = 6780482800000/36400
LCM = 186277000
Thus, we can understand that the LCM of 460,728,178,875,130 is 186277000.
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FAQs on LCM of 460, 728, 178, 875, 130
1. What is the LCM of 460, 728, 178, 875, 130?
Answer: LCM of 460, 728, 178, 875, 130 is 186277000.
2. How to calculate the LCM of 460, 728, 178, 875, 130?
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 460, 728, 178, 875, 130.
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}.