LCM of 280, 381, 521, 507, 780
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 280, 381, 521, 507, 780 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 280, 381, 521, 507, 780. So, keep reading to learn more.
Given numbers are 280,381,521,507,780
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 280,381,521,507,780 is 9393067320.
Find LCM of 280,381,521,507,780 with Prime Factorization
| 2 | 280, 381, 521, 507, 780 |
| 2 | 140, 381, 521, 507, 390 |
| 3 | 70, 381, 521, 507, 195 |
| 5 | 70, 127, 521, 169, 65 |
| 13 | 14, 127, 521, 169, 13 |
| 14, 127, 521, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 14 x 127 x 521 x 1 x 13 = 9393067320
Therefore, the lowest common multiple of 280,381,521,507,780 is 9393067320.
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.
280 x 381 x 521 x 507 x 780 = 21979777528800
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.
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
381 : 1, 3, 127, 381
521 : 1, 521
507 : 1, 3, 13, 39, 169, 507
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 280,381,521,507,780, is 1.
Now, the common factors can be found like this.
280:2x 2x 2x 5x 7
381:3x 127
521:521
507:3x 13x 13
780:2x 2x 3x 5x 13
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 3x 5x 13 = 2340
Therefore, the value for common factors is 2340.
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 = 21979777528800/(1x2340)
LCM = 21979777528800/2340
LCM = 9393067320
Thus, we can understand that the LCM of 280,381,521,507,780 is 9393067320.
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FAQs on LCM of 280, 381, 521, 507, 780
1. What is the LCM of 280, 381, 521, 507, 780?
Answer: LCM of 280, 381, 521, 507, 780 is 9393067320.
2. How to calculate the LCM of 280, 381, 521, 507, 780?
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 280, 381, 521, 507, 780.
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}.