LCM of 738, 304, 918, 534, 147
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 738, 304, 918, 534, 147 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 738, 304, 918, 534, 147. So, keep reading to learn more.
Given numbers are 738,304,918,534,147
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 738,304,918,534,147 is 24949176336.
Find LCM of 738,304,918,534,147 with Prime Factorization
| 2 | 738, 304, 918, 534, 147 |
| 3 | 369, 152, 459, 267, 147 |
| 3 | 123, 152, 153, 89, 49 |
| 41, 152, 51, 89, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 41 x 152 x 51 x 89 x 49 = 24949176336
Therefore, the lowest common multiple of 738,304,918,534,147 is 24949176336.
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.
738 x 304 x 918 x 534 x 147 = 16167066265728
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.
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
534 : 1, 2, 3, 6, 89, 178, 267, 534
147 : 1, 3, 7, 21, 49, 147
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,304,918,534,147, is 1.
Now, the common factors can be found like this.
738:2x 3x 3x 41
304:2x 2x 2x 2x 19
918:2x 3x 3x 3x 17
534:2x 3x 89
147:3x 7x 7
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 2x 3x 3x 3x 3 = 648
Therefore, the value for common factors is 648.
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 = 16167066265728/(1x648)
LCM = 16167066265728/648
LCM = 24949176336
Thus, we can understand that the LCM of 738,304,918,534,147 is 24949176336.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 738, 304, 918, 534, 147
1. What is the LCM of 738, 304, 918, 534, 147?
Answer: LCM of 738, 304, 918, 534, 147 is 24949176336.
2. How to calculate the LCM of 738, 304, 918, 534, 147?
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 738, 304, 918, 534, 147.
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}.