Find the LCM of 671, 239, 305, 956 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 671, 239, 305, 956. So, keep reading to learn more.
Given numbers are 671,239,305,956
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 671,239,305,956 is 3207380.
Find LCM of 671,239,305,956 with Prime Factorization
61 | 671, 239, 305, 956 |
239 | 11, 239, 5, 956 |
11, 1, 5, 4 |
Multiply the prime numbers at the bottom and the left side.
61 x 239 x 11 x 1 x 5 x 4 = 3207380
Therefore, the lowest common multiple of 671,239,305,956 is 3207380.
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.
671 x 239 x 305 x 956 = 46760393020
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.
671 : 1, 11, 61, 671
239 : 1, 239
305 : 1, 5, 61, 305
956 : 1, 2, 4, 239, 478, 956
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,239,305,956, is 1.
Now, the common factors can be found like this.
671:11x 61
239:239
305:5x 61
956:2x 2x 239
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
61x 239 = 14579
Therefore, the value for common factors is 14579.
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 = 46760393020/(1x14579)
LCM = 46760393020/14579
LCM = 3207380
Thus, we can understand that the LCM of 671,239,305,956 is 3207380.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 671, 239, 305, 956?
Answer: LCM of 671, 239, 305, 956 is 3207380.
2. How to calculate the LCM of 671, 239, 305, 956?
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 671, 239, 305, 956.
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}.