LCM of 212, 748, 946, 407, 774
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 212, 748, 946, 407, 774 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 212, 748, 946, 407, 774. So, keep reading to learn more.
Given numbers are 212,748,946,407,774
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 212,748,946,407,774 is 567662436.
Find LCM of 212,748,946,407,774 with Prime Factorization
| 2 | 212, 748, 946, 407, 774 |
| 2 | 106, 374, 473, 407, 387 |
| 11 | 53, 187, 473, 407, 387 |
| 43 | 53, 17, 43, 37, 387 |
| 53, 17, 1, 37, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 43 x 53 x 17 x 1 x 37 x 9 = 567662436
Therefore, the lowest common multiple of 212,748,946,407,774 is 567662436.
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.
212 x 748 x 946 x 407 x 774 = 47256762472128
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.
212 : 1, 2, 4, 53, 106, 212
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
946 : 1, 2, 11, 22, 43, 86, 473, 946
407 : 1, 11, 37, 407
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 212,748,946,407,774, is 1.
Now, the common factors can be found like this.
212:2x 2x 53
748:2x 2x 11x 17
946:2x 11x 43
407:11x 37
774:2x 3x 3x 43
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 11x 11x 43 = 83248
Therefore, the value for common factors is 83248.
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 = 47256762472128/(1x83248)
LCM = 47256762472128/83248
LCM = 567662436
Thus, we can understand that the LCM of 212,748,946,407,774 is 567662436.
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FAQs on LCM of 212, 748, 946, 407, 774
1. What is the LCM of 212, 748, 946, 407, 774?
Answer: LCM of 212, 748, 946, 407, 774 is 567662436.
2. How to calculate the LCM of 212, 748, 946, 407, 774?
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 212, 748, 946, 407, 774.
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}.