LCM of 697, 784, 228, 212, 391
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 697, 784, 228, 212, 391 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 697, 784, 228, 212, 391. So, keep reading to learn more.
Given numbers are 697,784,228,212,391
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 697,784,228,212,391 is 37968846384.
Find LCM of 697,784,228,212,391 with Prime Factorization
| 2 | 697, 784, 228, 212, 391 |
| 2 | 697, 392, 114, 106, 391 |
| 17 | 697, 196, 57, 53, 391 |
| 41, 196, 57, 53, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 41 x 196 x 57 x 53 x 23 = 37968846384
Therefore, the lowest common multiple of 697,784,228,212,391 is 37968846384.
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.
697 x 784 x 228 x 212 x 391 = 10327526216448
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.
697 : 1, 17, 41, 697
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
212 : 1, 2, 4, 53, 106, 212
391 : 1, 17, 23, 391
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,784,228,212,391, is 1.
Now, the common factors can be found like this.
697:17x 41
784:2x 2x 2x 2x 7x 7
228:2x 2x 3x 19
212:2x 2x 53
391:17x 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 2x 2x 17 = 272
Therefore, the value for common factors is 272.
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 = 10327526216448/(1x272)
LCM = 10327526216448/272
LCM = 37968846384
Thus, we can understand that the LCM of 697,784,228,212,391 is 37968846384.
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FAQs on LCM of 697, 784, 228, 212, 391
1. What is the LCM of 697, 784, 228, 212, 391?
Answer: LCM of 697, 784, 228, 212, 391 is 37968846384.
2. How to calculate the LCM of 697, 784, 228, 212, 391?
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 697, 784, 228, 212, 391.
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}.