LCM of 959, 546, 406, 321
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 959, 546, 406, 321 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 959, 546, 406, 321. So, keep reading to learn more.
Given numbers are 959,546,406,321
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 959,546,406,321 is 232110606.
Find LCM of 959,546,406,321 with Prime Factorization
| 2 | 959, 546, 406, 321 |
| 3 | 959, 273, 203, 321 |
| 7 | 959, 91, 203, 107 |
| 137, 13, 29, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 137 x 13 x 29 x 107 = 232110606
Therefore, the lowest common multiple of 959,546,406,321 is 232110606.
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.
959 x 546 x 406 x 321 = 68240518164
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.
959 : 1, 7, 137, 959
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
406 : 1, 2, 7, 14, 29, 58, 203, 406
321 : 1, 3, 107, 321
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 959,546,406,321, is 1.
Now, the common factors can be found like this.
959:7x 137
546:2x 3x 7x 13
406:2x 7x 29
321:3x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 7 = 294
Therefore, the value for common factors is 294.
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 = 68240518164/(1x294)
LCM = 68240518164/294
LCM = 232110606
Thus, we can understand that the LCM of 959,546,406,321 is 232110606.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 959, 546, 406, 321
1. What is the LCM of 959, 546, 406, 321?
Answer: LCM of 959, 546, 406, 321 is 232110606.
2. How to calculate the LCM of 959, 546, 406, 321?
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 959, 546, 406, 321.
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}.