Find the LCM of 731, 407, 708, 354, 407 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 731, 407, 708, 354, 407. So, keep reading to learn more.
Given numbers are 731,407,708,354,407
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 731,407,708,354,407 is 210642036.
Find LCM of 731,407,708,354,407 with Prime Factorization
2 | 731, 407, 708, 354, 407 |
3 | 731, 407, 354, 177, 407 |
11 | 731, 407, 118, 59, 407 |
37 | 731, 37, 118, 59, 37 |
59 | 731, 1, 118, 59, 1 |
731, 1, 2, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 37 x 59 x 731 x 1 x 2 x 1 x 1 = 210642036
Therefore, the lowest common multiple of 731,407,708,354,407 is 210642036.
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.
731 x 407 x 708 x 354 x 407 = 30348883262808
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.
731 : 1, 17, 43, 731
407 : 1, 11, 37, 407
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
354 : 1, 2, 3, 6, 59, 118, 177, 354
407 : 1, 11, 37, 407
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,407,708,354,407, is 1.
Now, the common factors can be found like this.
731:17x 43
407:11x 37
708:2x 2x 3x 59
354:2x 3x 59
407:11x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11x 37x 59 = 144078
Therefore, the value for common factors is 144078.
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 = 30348883262808/(1x144078)
LCM = 30348883262808/144078
LCM = 210642036
Thus, we can understand that the LCM of 731,407,708,354,407 is 210642036.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 731, 407, 708, 354, 407?
Answer: LCM of 731, 407, 708, 354, 407 is 210642036.
2. How to calculate the LCM of 731, 407, 708, 354, 407?
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 731, 407, 708, 354, 407.
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}.