LCM of 159, 106, 506, 974
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 159, 106, 506, 974 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 159, 106, 506, 974. So, keep reading to learn more.
Given numbers are 159,106,506,974
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 159,106,506,974 is 39181098.
Find LCM of 159,106,506,974 with Prime Factorization
| 2 | 159, 106, 506, 974 |
| 53 | 159, 53, 253, 487 |
| 3, 1, 253, 487 |
Multiply the prime numbers at the bottom and the left side.
2 x 53 x 3 x 1 x 253 x 487 = 39181098
Therefore, the lowest common multiple of 159,106,506,974 is 39181098.
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.
159 x 106 x 506 x 974 = 8306392776
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.
159 : 1, 3, 53, 159
106 : 1, 2, 53, 106
506 : 1, 2, 11, 22, 23, 46, 253, 506
974 : 1, 2, 487, 974
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 159,106,506,974, is 1.
Now, the common factors can be found like this.
159:3x 53
106:2x 53
506:2x 11x 23
974:2x 487
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 53 = 212
Therefore, the value for common factors is 212.
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 = 8306392776/(1x212)
LCM = 8306392776/212
LCM = 39181098
Thus, we can understand that the LCM of 159,106,506,974 is 39181098.
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FAQs on LCM of 159, 106, 506, 974
1. What is the LCM of 159, 106, 506, 974?
Answer: LCM of 159, 106, 506, 974 is 39181098.
2. How to calculate the LCM of 159, 106, 506, 974?
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 159, 106, 506, 974.
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}.