Find the LCM of 406, 772, 741, 767, 422 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 406, 772, 741, 767, 422. So, keep reading to learn more.
Given numbers are 406,772,741,767,422
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 406,772,741,767,422 is 1445659495644.
Find LCM of 406,772,741,767,422 with Prime Factorization
2 | 406, 772, 741, 767, 422 |
13 | 203, 386, 741, 767, 211 |
203, 386, 57, 59, 211 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 203 x 386 x 57 x 59 x 211 = 1445659495644
Therefore, the lowest common multiple of 406,772,741,767,422 is 1445659495644.
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.
406 x 772 x 741 x 767 x 422 = 75174293773488
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.
406 : 1, 2, 7, 14, 29, 58, 203, 406
772 : 1, 2, 4, 193, 386, 772
741 : 1, 3, 13, 19, 39, 57, 247, 741
767 : 1, 13, 59, 767
422 : 1, 2, 211, 422
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,772,741,767,422, is 1.
Now, the common factors can be found like this.
406:2x 7x 29
772:2x 2x 193
741:3x 13x 19
767:13x 59
422:2x 211
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 13 = 52
Therefore, the value for common factors is 52.
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 = 75174293773488/(1x52)
LCM = 75174293773488/52
LCM = 1445659495644
Thus, we can understand that the LCM of 406,772,741,767,422 is 1445659495644.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 406, 772, 741, 767, 422?
Answer: LCM of 406, 772, 741, 767, 422 is 1445659495644.
2. How to calculate the LCM of 406, 772, 741, 767, 422?
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 406, 772, 741, 767, 422.
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}.