LCM of 304, 457, 280, 521, 421
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 304, 457, 280, 521, 421 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 304, 457, 280, 521, 421. So, keep reading to learn more.
Given numbers are 304,457,280,521,421
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 304,457,280,521,421 is 1066541225680.
Find LCM of 304,457,280,521,421 with Prime Factorization
| 2 | 304, 457, 280, 521, 421 |
| 2 | 152, 457, 140, 521, 421 |
| 2 | 76, 457, 70, 521, 421 |
| 38, 457, 35, 521, 421 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 38 x 457 x 35 x 521 x 421 = 1066541225680
Therefore, the lowest common multiple of 304,457,280,521,421 is 1066541225680.
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.
304 x 457 x 280 x 521 x 421 = 8532329805440
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.
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
457 : 1, 457
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
521 : 1, 521
421 : 1, 421
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,457,280,521,421, is 1.
Now, the common factors can be found like this.
304:2x 2x 2x 2x 19
457:457
280:2x 2x 2x 5x 7
521:521
421:421
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 2 = 8
Therefore, the value for common factors is 8.
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 = 8532329805440/(1x8)
LCM = 8532329805440/8
LCM = 1066541225680
Thus, we can understand that the LCM of 304,457,280,521,421 is 1066541225680.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 304, 457, 280, 521, 421
1. What is the LCM of 304, 457, 280, 521, 421?
Answer: LCM of 304, 457, 280, 521, 421 is 1066541225680.
2. How to calculate the LCM of 304, 457, 280, 521, 421?
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 304, 457, 280, 521, 421.
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}.