LCM of 130, 875, 474, 352, 508
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 130, 875, 474, 352, 508 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 130, 875, 474, 352, 508. So, keep reading to learn more.
Given numbers are 130,875,474,352,508
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 130,875,474,352,508 is 120516396000.
Find LCM of 130,875,474,352,508 with Prime Factorization
| 2 | 130, 875, 474, 352, 508 |
| 2 | 65, 875, 237, 176, 254 |
| 5 | 65, 875, 237, 88, 127 |
| 13, 175, 237, 88, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 175 x 237 x 88 x 127 = 120516396000
Therefore, the lowest common multiple of 130,875,474,352,508 is 120516396000.
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.
130 x 875 x 474 x 352 x 508 = 9641311680000
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.
130 : 1, 2, 5, 10, 13, 26, 65, 130
875 : 1, 5, 7, 25, 35, 125, 175, 875
474 : 1, 2, 3, 6, 79, 158, 237, 474
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
508 : 1, 2, 4, 127, 254, 508
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,875,474,352,508, is 1.
Now, the common factors can be found like this.
130:2x 5x 13
875:5x 5x 5x 7
474:2x 3x 79
352:2x 2x 2x 2x 2x 11
508:2x 2x 127
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 5 = 80
Therefore, the value for common factors is 80.
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 = 9641311680000/(1x80)
LCM = 9641311680000/80
LCM = 120516396000
Thus, we can understand that the LCM of 130,875,474,352,508 is 120516396000.
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FAQs on LCM of 130, 875, 474, 352, 508
1. What is the LCM of 130, 875, 474, 352, 508?
Answer: LCM of 130, 875, 474, 352, 508 is 120516396000.
2. How to calculate the LCM of 130, 875, 474, 352, 508?
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 130, 875, 474, 352, 508.
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}.