LCM of 407, 458, 148, 549
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 407, 458, 148, 549 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 407, 458, 148, 549. So, keep reading to learn more.
Given numbers are 407,458,148,549
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 407,458,148,549 is 204673788.
Find LCM of 407,458,148,549 with Prime Factorization
| 2 | 407, 458, 148, 549 |
| 37 | 407, 229, 74, 549 |
| 11, 229, 2, 549 |
Multiply the prime numbers at the bottom and the left side.
2 x 37 x 11 x 229 x 2 x 549 = 204673788
Therefore, the lowest common multiple of 407,458,148,549 is 204673788.
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.
407 x 458 x 148 x 549 = 15145860312
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.
407 : 1, 11, 37, 407
458 : 1, 2, 229, 458
148 : 1, 2, 4, 37, 74, 148
549 : 1, 3, 9, 61, 183, 549
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,458,148,549, is 1.
Now, the common factors can be found like this.
407:11x 37
458:2x 229
148:2x 2x 37
549:3x 3x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 37 = 74
Therefore, the value for common factors is 74.
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 = 15145860312/(1x74)
LCM = 15145860312/74
LCM = 204673788
Thus, we can understand that the LCM of 407,458,148,549 is 204673788.
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FAQs on LCM of 407, 458, 148, 549
1. What is the LCM of 407, 458, 148, 549?
Answer: LCM of 407, 458, 148, 549 is 204673788.
2. How to calculate the LCM of 407, 458, 148, 549?
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 407, 458, 148, 549.
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}.