Find the LCM of 439, 312, 946, 627, 118 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 439, 312, 946, 627, 118. So, keep reading to learn more.
Given numbers are 439,312,946,627,118
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 439,312,946,627,118 is 72624953544.
Find LCM of 439,312,946,627,118 with Prime Factorization
2 | 439, 312, 946, 627, 118 |
3 | 439, 156, 473, 627, 59 |
11 | 439, 52, 473, 209, 59 |
439, 52, 43, 19, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 439 x 52 x 43 x 19 x 59 = 72624953544
Therefore, the lowest common multiple of 439,312,946,627,118 is 72624953544.
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.
439 x 312 x 946 x 627 x 118 = 9586493867808
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.
439 : 1, 439
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
946 : 1, 2, 11, 22, 43, 86, 473, 946
627 : 1, 3, 11, 19, 33, 57, 209, 627
118 : 1, 2, 59, 118
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 439,312,946,627,118, is 1.
Now, the common factors can be found like this.
439:439
312:2x 2x 2x 3x 13
946:2x 11x 43
627:3x 11x 19
118:2x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 11 = 132
Therefore, the value for common factors is 132.
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 = 9586493867808/(1x132)
LCM = 9586493867808/132
LCM = 72624953544
Thus, we can understand that the LCM of 439,312,946,627,118 is 72624953544.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 439, 312, 946, 627, 118?
Answer: LCM of 439, 312, 946, 627, 118 is 72624953544.
2. How to calculate the LCM of 439, 312, 946, 627, 118?
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 439, 312, 946, 627, 118.
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}.