LCM of 736, 308, 359, 365
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 736, 308, 359, 365 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 736, 308, 359, 365. So, keep reading to learn more.
Given numbers are 736,308,359,365
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 736,308,359,365 is 7426015520.
Find LCM of 736,308,359,365 with Prime Factorization
| 2 | 736, 308, 359, 365 |
| 2 | 368, 154, 359, 365 |
| 184, 77, 359, 365 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 184 x 77 x 359 x 365 = 7426015520
Therefore, the lowest common multiple of 736,308,359,365 is 7426015520.
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.
736 x 308 x 359 x 365 = 29704062080
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.
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
359 : 1, 359
365 : 1, 5, 73, 365
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,308,359,365, is 1.
Now, the common factors can be found like this.
736:2x 2x 2x 2x 2x 23
308:2x 2x 7x 11
359:359
365:5x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 29704062080/(1x4)
LCM = 29704062080/4
LCM = 7426015520
Thus, we can understand that the LCM of 736,308,359,365 is 7426015520.
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FAQs on LCM of 736, 308, 359, 365
1. What is the LCM of 736, 308, 359, 365?
Answer: LCM of 736, 308, 359, 365 is 7426015520.
2. How to calculate the LCM of 736, 308, 359, 365?
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 736, 308, 359, 365.
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}.