LCM of 476, 533, 455, 240, 345
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 476, 533, 455, 240, 345 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 476, 533, 455, 240, 345. So, keep reading to learn more.
Given numbers are 476,533,455,240,345
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 476,533,455,240,345 is 350117040.
Find LCM of 476,533,455,240,345 with Prime Factorization
| 2 | 476, 533, 455, 240, 345 |
| 2 | 238, 533, 455, 120, 345 |
| 3 | 119, 533, 455, 60, 345 |
| 5 | 119, 533, 455, 20, 115 |
| 7 | 119, 533, 91, 4, 23 |
| 13 | 17, 533, 13, 4, 23 |
| 17, 41, 1, 4, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 13 x 17 x 41 x 1 x 4 x 23 = 350117040
Therefore, the lowest common multiple of 476,533,455,240,345 is 350117040.
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.
476 x 533 x 455 x 240 x 345 = 9558195192000
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.
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
533 : 1, 13, 41, 533
455 : 1, 5, 7, 13, 35, 65, 91, 455
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
345 : 1, 3, 5, 15, 23, 69, 115, 345
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 476,533,455,240,345, is 1.
Now, the common factors can be found like this.
476:2x 2x 7x 17
533:13x 41
455:5x 7x 13
240:2x 2x 2x 2x 3x 5
345:3x 5x 23
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 5x 7x 13 = 27300
Therefore, the value for common factors is 27300.
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 = 9558195192000/(1x27300)
LCM = 9558195192000/27300
LCM = 350117040
Thus, we can understand that the LCM of 476,533,455,240,345 is 350117040.
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FAQs on LCM of 476, 533, 455, 240, 345
1. What is the LCM of 476, 533, 455, 240, 345?
Answer: LCM of 476, 533, 455, 240, 345 is 350117040.
2. How to calculate the LCM of 476, 533, 455, 240, 345?
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 476, 533, 455, 240, 345.
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}.