Find the LCM of 189, 779, 779, 302 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 189, 779, 779, 302. So, keep reading to learn more.
Given numbers are 189,779,779,302
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 189,779,779,302 is 44463762.
Find LCM of 189,779,779,302 with Prime Factorization
19 | 189, 779, 779, 302 |
41 | 189, 41, 41, 302 |
189, 1, 1, 302 |
Multiply the prime numbers at the bottom and the left side.
19 x 41 x 189 x 1 x 1 x 302 = 44463762
Therefore, the lowest common multiple of 189,779,779,302 is 44463762.
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.
189 x 779 x 779 x 302 = 34637270598
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.
189 : 1, 3, 7, 9, 21, 27, 63, 189
779 : 1, 19, 41, 779
779 : 1, 19, 41, 779
302 : 1, 2, 151, 302
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 189,779,779,302, is 1.
Now, the common factors can be found like this.
189:3x 3x 3x 7
779:19x 41
779:19x 41
302:2x 151
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19x 41 = 779
Therefore, the value for common factors is 779.
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 = 34637270598/(1x779)
LCM = 34637270598/779
LCM = 44463762
Thus, we can understand that the LCM of 189,779,779,302 is 44463762.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 189, 779, 779, 302?
Answer: LCM of 189, 779, 779, 302 is 44463762.
2. How to calculate the LCM of 189, 779, 779, 302?
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 189, 779, 779, 302.
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}.