LCM of 784, 841, 406, 466, 328
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 784, 841, 406, 466, 328 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, 841, 406, 466, 328. So, keep reading to learn more.
Given numbers are 784,841,406,466,328
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 784,841,406,466,328 is 6298713232.
Find LCM of 784,841,406,466,328 with Prime Factorization
| 2 | 784, 841, 406, 466, 328 |
| 2 | 392, 841, 203, 233, 164 |
| 2 | 196, 841, 203, 233, 82 |
| 7 | 98, 841, 203, 233, 41 |
| 29 | 14, 841, 29, 233, 41 |
| 14, 1, 29, 233, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 29 x 14 x 1 x 29 x 233 x 41 = 6298713232
Therefore, the lowest common multiple of 784,841,406,466,328 is 6298713232.
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 841 x 406 x 466 x 328 = 40916441155072
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
841 : 1, 29, 841
406 : 1, 2, 7, 14, 29, 58, 203, 406
466 : 1, 2, 233, 466
328 : 1, 2, 4, 8, 41, 82, 164, 328
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 784,841,406,466,328, is 1.
Now, the common factors can be found like this.
784:2x 2x 2x 2x 7x 7
841:29x 29
406:2x 7x 29
466:2x 233
328:2x 2x 2x 41
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 2x 7x 29 = 6496
Therefore, the value for common factors is 6496.
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 = 40916441155072/(1x6496)
LCM = 40916441155072/6496
LCM = 6298713232
Thus, we can understand that the LCM of 784,841,406,466,328 is 6298713232.
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FAQs on LCM of 784, 841, 406, 466, 328
1. What is the LCM of 784, 841, 406, 466, 328?
Answer: LCM of 784, 841, 406, 466, 328 is 6298713232.
2. How to calculate the LCM of 784, 841, 406, 466, 328?
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, 841, 406, 466, 328.
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}.