LCM of 501, 533, 494, 430, 960
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 501, 533, 494, 430, 960 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 501, 533, 494, 430, 960. So, keep reading to learn more.
Given numbers are 501,533,494,430,960
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 501,533,494,430,960 is 69813107520.
Find LCM of 501,533,494,430,960 with Prime Factorization
| 2 | 501, 533, 494, 430, 960 |
| 3 | 501, 533, 247, 215, 480 |
| 5 | 167, 533, 247, 215, 160 |
| 13 | 167, 533, 247, 43, 32 |
| 167, 41, 19, 43, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 167 x 41 x 19 x 43 x 32 = 69813107520
Therefore, the lowest common multiple of 501,533,494,430,960 is 69813107520.
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.
501 x 533 x 494 x 430 x 960 = 54454223865600
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.
501 : 1, 3, 167, 501
533 : 1, 13, 41, 533
494 : 1, 2, 13, 19, 26, 38, 247, 494
430 : 1, 2, 5, 10, 43, 86, 215, 430
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 501,533,494,430,960, is 1.
Now, the common factors can be found like this.
501:3x 167
533:13x 41
494:2x 13x 19
430:2x 5x 43
960:2x 2x 2x 2x 2x 2x 3x 5
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 5x 13 = 780
Therefore, the value for common factors is 780.
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 = 54454223865600/(1x780)
LCM = 54454223865600/780
LCM = 69813107520
Thus, we can understand that the LCM of 501,533,494,430,960 is 69813107520.
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FAQs on LCM of 501, 533, 494, 430, 960
1. What is the LCM of 501, 533, 494, 430, 960?
Answer: LCM of 501, 533, 494, 430, 960 is 69813107520.
2. How to calculate the LCM of 501, 533, 494, 430, 960?
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 501, 533, 494, 430, 960.
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}.