LCM of 912, 130, 303, 703, 130
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 912, 130, 303, 703, 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 912, 130, 303, 703, 130. So, keep reading to learn more.
Given numbers are 912,130,303,703,130
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 912,130,303,703,130 is 221529360.
Find LCM of 912,130,303,703,130 with Prime Factorization
| 2 | 912, 130, 303, 703, 130 |
| 3 | 456, 65, 303, 703, 65 |
| 5 | 152, 65, 101, 703, 65 |
| 13 | 152, 13, 101, 703, 13 |
| 19 | 152, 1, 101, 703, 1 |
| 8, 1, 101, 37, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 19 x 8 x 1 x 101 x 37 x 1 = 221529360
Therefore, the lowest common multiple of 912,130,303,703,130 is 221529360.
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.
912 x 130 x 303 x 703 x 130 = 3283065115200
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.
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
130 : 1, 2, 5, 10, 13, 26, 65, 130
303 : 1, 3, 101, 303
703 : 1, 19, 37, 703
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 912,130,303,703,130, is 1.
Now, the common factors can be found like this.
912:2x 2x 2x 2x 3x 19
130:2x 5x 13
303:3x 101
703:19x 37
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 3x 5x 13x 19 = 14820
Therefore, the value for common factors is 14820.
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 = 3283065115200/(1x14820)
LCM = 3283065115200/14820
LCM = 221529360
Thus, we can understand that the LCM of 912,130,303,703,130 is 221529360.
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FAQs on LCM of 912, 130, 303, 703, 130
1. What is the LCM of 912, 130, 303, 703, 130?
Answer: LCM of 912, 130, 303, 703, 130 is 221529360.
2. How to calculate the LCM of 912, 130, 303, 703, 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 912, 130, 303, 703, 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}.