LCM of 730, 420, 458, 966
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 730, 420, 458, 966 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 730, 420, 458, 966. So, keep reading to learn more.
Given numbers are 730,420,458,966
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 730,420,458,966 is 161486220.
Find LCM of 730,420,458,966 with Prime Factorization
| 2 | 730, 420, 458, 966 |
| 3 | 365, 210, 229, 483 |
| 5 | 365, 70, 229, 161 |
| 7 | 73, 14, 229, 161 |
| 73, 2, 229, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 73 x 2 x 229 x 23 = 161486220
Therefore, the lowest common multiple of 730,420,458,966 is 161486220.
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.
730 x 420 x 458 x 966 = 135648424800
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.
730 : 1, 2, 5, 10, 73, 146, 365, 730
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
458 : 1, 2, 229, 458
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,420,458,966, is 2.
Now, the common factors can be found like this.
730:2x 5x 73
420:2x 2x 3x 5x 7
458:2x 229
966:2x 3x 7x 23
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 7 = 420
Therefore, the value for common factors is 420.
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 = 135648424800/(2x420)
LCM = 135648424800/840
LCM = 161486220
Thus, we can understand that the LCM of 730,420,458,966 is 161486220.
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FAQs on LCM of 730, 420, 458, 966
1. What is the LCM of 730, 420, 458, 966?
Answer: LCM of 730, 420, 458, 966 is 161486220.
2. How to calculate the LCM of 730, 420, 458, 966?
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 730, 420, 458, 966.
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}.