LCM of 283, 430, 401, 840, 780
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 283, 430, 401, 840, 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 283, 430, 401, 840, 780. So, keep reading to learn more.
Given numbers are 283,430,401,840,780
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 283,430,401,840,780 is 53287077480.
Find LCM of 283,430,401,840,780 with Prime Factorization
| 2 | 283, 430, 401, 840, 780 |
| 2 | 283, 215, 401, 420, 390 |
| 3 | 283, 215, 401, 210, 195 |
| 5 | 283, 215, 401, 70, 65 |
| 283, 43, 401, 14, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 283 x 43 x 401 x 14 x 13 = 53287077480
Therefore, the lowest common multiple of 283,430,401,840,780 is 53287077480.
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.
283 x 430 x 401 x 840 x 780 = 31972246488000
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.
283 : 1, 283
430 : 1, 2, 5, 10, 43, 86, 215, 430
401 : 1, 401
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
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 283,430,401,840,780, is 1.
Now, the common factors can be found like this.
283:283
430:2x 5x 43
401:401
840:2x 2x 2x 3x 5x 7
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 2x 3x 5x 5 = 600
Therefore, the value for common factors is 600.
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 = 31972246488000/(1x600)
LCM = 31972246488000/600
LCM = 53287077480
Thus, we can understand that the LCM of 283,430,401,840,780 is 53287077480.
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FAQs on LCM of 283, 430, 401, 840, 780
1. What is the LCM of 283, 430, 401, 840, 780?
Answer: LCM of 283, 430, 401, 840, 780 is 53287077480.
2. How to calculate the LCM of 283, 430, 401, 840, 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 283, 430, 401, 840, 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}.