LCM of 536, 234, 390, 906
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 536, 234, 390, 906 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 536, 234, 390, 906. So, keep reading to learn more.
Given numbers are 536,234,390,906
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 536,234,390,906 is 47347560.
Find LCM of 536,234,390,906 with Prime Factorization
| 2 | 536, 234, 390, 906 |
| 3 | 268, 117, 195, 453 |
| 13 | 268, 39, 65, 151 |
| 268, 3, 5, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 268 x 3 x 5 x 151 = 47347560
Therefore, the lowest common multiple of 536,234,390,906 is 47347560.
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.
536 x 234 x 390 x 906 = 44317316160
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.
536 : 1, 2, 4, 8, 67, 134, 268, 536
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
906 : 1, 2, 3, 6, 151, 302, 453, 906
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 536,234,390,906, is 2.
Now, the common factors can be found like this.
536:2x 2x 2x 67
234:2x 3x 3x 13
390:2x 3x 5x 13
906:2x 3x 151
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 3x 13 = 468
Therefore, the value for common factors is 468.
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 = 44317316160/(2x468)
LCM = 44317316160/936
LCM = 47347560
Thus, we can understand that the LCM of 536,234,390,906 is 47347560.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 536, 234, 390, 906
1. What is the LCM of 536, 234, 390, 906?
Answer: LCM of 536, 234, 390, 906 is 47347560.
2. How to calculate the LCM of 536, 234, 390, 906?
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 536, 234, 390, 906.
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}.