LCM of 604, 946, 374, 458, 330
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 604, 946, 374, 458, 330 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 604, 946, 374, 458, 330. So, keep reading to learn more.
Given numbers are 604,946,374,458,330
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 604,946,374,458,330 is 16682984340.
Find LCM of 604,946,374,458,330 with Prime Factorization
| 2 | 604, 946, 374, 458, 330 |
| 11 | 302, 473, 187, 229, 165 |
| 302, 43, 17, 229, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 302 x 43 x 17 x 229 x 15 = 16682984340
Therefore, the lowest common multiple of 604,946,374,458,330 is 16682984340.
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.
604 x 946 x 374 x 458 x 330 = 32298257682240
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.
604 : 1, 2, 4, 151, 302, 604
946 : 1, 2, 11, 22, 43, 86, 473, 946
374 : 1, 2, 11, 17, 22, 34, 187, 374
458 : 1, 2, 229, 458
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 604,946,374,458,330, is 2.
Now, the common factors can be found like this.
604:2x 2x 151
946:2x 11x 43
374:2x 11x 17
458:2x 229
330:2x 3x 5x 11
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 2x 11x 11 = 968
Therefore, the value for common factors is 968.
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 = 32298257682240/(2x968)
LCM = 32298257682240/1936
LCM = 16682984340
Thus, we can understand that the LCM of 604,946,374,458,330 is 16682984340.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 604, 946, 374, 458, 330
1. What is the LCM of 604, 946, 374, 458, 330?
Answer: LCM of 604, 946, 374, 458, 330 is 16682984340.
2. How to calculate the LCM of 604, 946, 374, 458, 330?
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 604, 946, 374, 458, 330.
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}.