LCM of 814, 946, 130, 602
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 946, 130, 602 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 814, 946, 130, 602. So, keep reading to learn more.
Given numbers are 814,946,130,602
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,946,130,602 is 15925910.
Find LCM of 814,946,130,602 with Prime Factorization
| 2 | 814, 946, 130, 602 |
| 11 | 407, 473, 65, 301 |
| 43 | 37, 43, 65, 301 |
| 37, 1, 65, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 43 x 37 x 1 x 65 x 7 = 15925910
Therefore, the lowest common multiple of 814,946,130,602 is 15925910.
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.
814 x 946 x 130 x 602 = 60263643440
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
946 : 1, 2, 11, 22, 43, 86, 473, 946
130 : 1, 2, 5, 10, 13, 26, 65, 130
602 : 1, 2, 7, 14, 43, 86, 301, 602
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,946,130,602, is 2.
Now, the common factors can be found like this.
814:2x 11x 37
946:2x 11x 43
130:2x 5x 13
602:2x 7x 43
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 11x 43 = 1892
Therefore, the value for common factors is 1892.
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 = 60263643440/(2x1892)
LCM = 60263643440/3784
LCM = 15925910
Thus, we can understand that the LCM of 814,946,130,602 is 15925910.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 814, 946, 130, 602
1. What is the LCM of 814, 946, 130, 602?
Answer: LCM of 814, 946, 130, 602 is 15925910.
2. How to calculate the LCM of 814, 946, 130, 602?
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 814, 946, 130, 602.
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}.