LCM of 303, 343, 501, 784
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 303, 343, 501, 784 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 303, 343, 501, 784. So, keep reading to learn more.
Given numbers are 303,343,501,784
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 303,343,501,784 is 277698288.
Find LCM of 303,343,501,784 with Prime Factorization
| 3 | 303, 343, 501, 784 |
| 7 | 101, 343, 167, 784 |
| 7 | 101, 49, 167, 112 |
| 101, 7, 167, 16 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 7 x 101 x 7 x 167 x 16 = 277698288
Therefore, the lowest common multiple of 303,343,501,784 is 277698288.
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.
303 x 343 x 501 x 784 = 40821648336
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.
303 : 1, 3, 101, 303
343 : 1, 7, 49, 343
501 : 1, 3, 167, 501
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 303,343,501,784, is 1.
Now, the common factors can be found like this.
303:3x 101
343:7x 7x 7
501:3x 167
784:2x 2x 2x 2x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 7 = 147
Therefore, the value for common factors is 147.
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 = 40821648336/(1x147)
LCM = 40821648336/147
LCM = 277698288
Thus, we can understand that the LCM of 303,343,501,784 is 277698288.
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FAQs on LCM of 303, 343, 501, 784
1. What is the LCM of 303, 343, 501, 784?
Answer: LCM of 303, 343, 501, 784 is 277698288.
2. How to calculate the LCM of 303, 343, 501, 784?
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 303, 343, 501, 784.
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}.