LCM of 351, 972, 986, 303, 426
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 351, 972, 986, 303, 426 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 351, 972, 986, 303, 426. So, keep reading to learn more.
Given numbers are 351,972,986,303,426
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 351,972,986,303,426 is 44672088708.
Find LCM of 351,972,986,303,426 with Prime Factorization
| 2 | 351, 972, 986, 303, 426 |
| 3 | 351, 486, 493, 303, 213 |
| 3 | 117, 162, 493, 101, 71 |
| 3 | 39, 54, 493, 101, 71 |
| 13, 18, 493, 101, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 13 x 18 x 493 x 101 x 71 = 44672088708
Therefore, the lowest common multiple of 351,972,986,303,426 is 44672088708.
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.
351 x 972 x 986 x 303 x 426 = 43421270224176
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.
351 : 1, 3, 9, 13, 27, 39, 117, 351
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
986 : 1, 2, 17, 29, 34, 58, 493, 986
303 : 1, 3, 101, 303
426 : 1, 2, 3, 6, 71, 142, 213, 426
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 351,972,986,303,426, is 1.
Now, the common factors can be found like this.
351:3x 3x 3x 13
972:2x 2x 3x 3x 3x 3x 3
986:2x 17x 29
303:3x 101
426:2x 3x 71
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 3x 3x 3x 3 = 972
Therefore, the value for common factors is 972.
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 = 43421270224176/(1x972)
LCM = 43421270224176/972
LCM = 44672088708
Thus, we can understand that the LCM of 351,972,986,303,426 is 44672088708.
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FAQs on LCM of 351, 972, 986, 303, 426
1. What is the LCM of 351, 972, 986, 303, 426?
Answer: LCM of 351, 972, 986, 303, 426 is 44672088708.
2. How to calculate the LCM of 351, 972, 986, 303, 426?
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 351, 972, 986, 303, 426.
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}.