Find the LCM of 391, 217, 578, 337 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 391, 217, 578, 337. So, keep reading to learn more.
Given numbers are 391,217,578,337
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 391,217,578,337 is 972176926.
Find LCM of 391,217,578,337 with Prime Factorization
17 | 391, 217, 578, 337 |
23, 217, 34, 337 |
Multiply the prime numbers at the bottom and the left side.
17 x 23 x 217 x 34 x 337 = 972176926
Therefore, the lowest common multiple of 391,217,578,337 is 972176926.
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.
391 x 217 x 578 x 337 = 16527007742
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.
391 : 1, 17, 23, 391
217 : 1, 7, 31, 217
578 : 1, 2, 17, 34, 289, 578
337 : 1, 337
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,217,578,337, is 1.
Now, the common factors can be found like this.
391:17x 23
217:7x 31
578:2x 17x 17
337:337
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17 = 17
Therefore, the value for common factors is 17.
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 = 16527007742/(1x17)
LCM = 16527007742/17
LCM = 972176926
Thus, we can understand that the LCM of 391,217,578,337 is 972176926.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 391, 217, 578, 337?
Answer: LCM of 391, 217, 578, 337 is 972176926.
2. How to calculate the LCM of 391, 217, 578, 337?
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 391, 217, 578, 337.
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}.