LCM of 784, 979, 428, 449, 476
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 784, 979, 428, 449, 476 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 784, 979, 428, 449, 476. So, keep reading to learn more.
Given numbers are 784,979,428,449,476
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 784,979,428,449,476 is 626870444816.
Find LCM of 784,979,428,449,476 with Prime Factorization
| 2 | 784, 979, 428, 449, 476 |
| 2 | 392, 979, 214, 449, 238 |
| 7 | 196, 979, 107, 449, 119 |
| 28, 979, 107, 449, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 28 x 979 x 107 x 449 x 17 = 626870444816
Therefore, the lowest common multiple of 784,979,428,449,476 is 626870444816.
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.
784 x 979 x 428 x 449 x 476 = 70209489819392
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.
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
979 : 1, 11, 89, 979
428 : 1, 2, 4, 107, 214, 428
449 : 1, 449
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 784,979,428,449,476, is 1.
Now, the common factors can be found like this.
784:2x 2x 2x 2x 7x 7
979:11x 89
428:2x 2x 107
449:449
476:2x 2x 7x 17
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 7 = 112
Therefore, the value for common factors is 112.
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 = 70209489819392/(1x112)
LCM = 70209489819392/112
LCM = 626870444816
Thus, we can understand that the LCM of 784,979,428,449,476 is 626870444816.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 784, 979, 428, 449, 476
1. What is the LCM of 784, 979, 428, 449, 476?
Answer: LCM of 784, 979, 428, 449, 476 is 626870444816.
2. How to calculate the LCM of 784, 979, 428, 449, 476?
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 784, 979, 428, 449, 476.
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}.