Find the LCM of 407, 498, 961, 356 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 407, 498, 961, 356. So, keep reading to learn more.
Given numbers are 407,498,961,356
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 407,498,961,356 is 34671061788.
Find LCM of 407,498,961,356 with Prime Factorization
2 | 407, 498, 961, 356 |
407, 249, 961, 178 |
Multiply the prime numbers at the bottom and the left side.
2 x 407 x 249 x 961 x 178 = 34671061788
Therefore, the lowest common multiple of 407,498,961,356 is 34671061788.
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.
407 x 498 x 961 x 356 = 69342123576
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.
407 : 1, 11, 37, 407
498 : 1, 2, 3, 6, 83, 166, 249, 498
961 : 1, 31, 961
356 : 1, 2, 4, 89, 178, 356
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,498,961,356, is 1.
Now, the common factors can be found like this.
407:11x 37
498:2x 3x 83
961:31x 31
356:2x 2x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 69342123576/(1x2)
LCM = 69342123576/2
LCM = 34671061788
Thus, we can understand that the LCM of 407,498,961,356 is 34671061788.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 407, 498, 961, 356?
Answer: LCM of 407, 498, 961, 356 is 34671061788.
2. How to calculate the LCM of 407, 498, 961, 356?
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 407, 498, 961, 356.
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}.