LCM of 480, 334, 163, 976, 523
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 480, 334, 163, 976, 523 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 480, 334, 163, 976, 523. So, keep reading to learn more.
Given numbers are 480,334,163,976,523
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 480,334,163,976,523 is 416847150240.
Find LCM of 480,334,163,976,523 with Prime Factorization
| 2 | 480, 334, 163, 976, 523 |
| 2 | 240, 167, 163, 488, 523 |
| 2 | 120, 167, 163, 244, 523 |
| 2 | 60, 167, 163, 122, 523 |
| 30, 167, 163, 61, 523 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 30 x 167 x 163 x 61 x 523 = 416847150240
Therefore, the lowest common multiple of 480,334,163,976,523 is 416847150240.
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.
480 x 334 x 163 x 976 x 523 = 13339108807680
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.
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
334 : 1, 2, 167, 334
163 : 1, 163
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
523 : 1, 523
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,334,163,976,523, is 1.
Now, the common factors can be found like this.
480:2x 2x 2x 2x 2x 3x 5
334:2x 167
163:163
976:2x 2x 2x 2x 61
523:523
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 2x 2 = 32
Therefore, the value for common factors is 32.
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 = 13339108807680/(1x32)
LCM = 13339108807680/32
LCM = 416847150240
Thus, we can understand that the LCM of 480,334,163,976,523 is 416847150240.
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FAQs on LCM of 480, 334, 163, 976, 523
1. What is the LCM of 480, 334, 163, 976, 523?
Answer: LCM of 480, 334, 163, 976, 523 is 416847150240.
2. How to calculate the LCM of 480, 334, 163, 976, 523?
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 480, 334, 163, 976, 523.
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}.