LCM of 496, 361, 744, 309
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 496, 361, 744, 309 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 496, 361, 744, 309. So, keep reading to learn more.
Given numbers are 496,361,744,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 496,361,744,309 is 55328304.
Find LCM of 496,361,744,309 with Prime Factorization
| 2 | 496, 361, 744, 309 |
| 2 | 248, 361, 372, 309 |
| 2 | 124, 361, 186, 309 |
| 3 | 62, 361, 93, 309 |
| 31 | 62, 361, 31, 103 |
| 2, 361, 1, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 31 x 2 x 361 x 1 x 103 = 55328304
Therefore, the lowest common multiple of 496,361,744,309 is 55328304.
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.
496 x 361 x 744 x 309 = 41164258176
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.
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
361 : 1, 19, 361
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 496,361,744,309, is 1.
Now, the common factors can be found like this.
496:2x 2x 2x 2x 31
361:19x 19
744:2x 2x 2x 3x 31
309:3x 103
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 31 = 744
Therefore, the value for common factors is 744.
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 = 41164258176/(1x744)
LCM = 41164258176/744
LCM = 55328304
Thus, we can understand that the LCM of 496,361,744,309 is 55328304.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 496, 361, 744, 309
1. What is the LCM of 496, 361, 744, 309?
Answer: LCM of 496, 361, 744, 309 is 55328304.
2. How to calculate the LCM of 496, 361, 744, 309?
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 496, 361, 744, 309.
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}.