Find the LCM of 715, 970, 337, 731, 476 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 715, 970, 337, 731, 476. So, keep reading to learn more.
Given numbers are 715,970,337,731,476
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 715,970,337,731,476 is 478391093180.
Find LCM of 715,970,337,731,476 with Prime Factorization
2 | 715, 970, 337, 731, 476 |
5 | 715, 485, 337, 731, 238 |
17 | 143, 97, 337, 731, 238 |
143, 97, 337, 43, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 143 x 97 x 337 x 43 x 14 = 478391093180
Therefore, the lowest common multiple of 715,970,337,731,476 is 478391093180.
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.
715 x 970 x 337 x 731 x 476 = 81326485840600
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.
715 : 1, 5, 11, 13, 55, 65, 143, 715
970 : 1, 2, 5, 10, 97, 194, 485, 970
337 : 1, 337
731 : 1, 17, 43, 731
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,970,337,731,476, is 1.
Now, the common factors can be found like this.
715:5x 11x 13
970:2x 5x 97
337:337
731:17x 43
476:2x 2x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 17 = 170
Therefore, the value for common factors is 170.
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 = 81326485840600/(1x170)
LCM = 81326485840600/170
LCM = 478391093180
Thus, we can understand that the LCM of 715,970,337,731,476 is 478391093180.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 715, 970, 337, 731, 476?
Answer: LCM of 715, 970, 337, 731, 476 is 478391093180.
2. How to calculate the LCM of 715, 970, 337, 731, 476?
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 715, 970, 337, 731, 476.
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}.