LCM of 361, 759, 909, 874, 449
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 361, 759, 909, 874, 449 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 361, 759, 909, 874, 449. So, keep reading to learn more.
Given numbers are 361,759,909,874,449
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 361,759,909,874,449 is 74553483906.
Find LCM of 361,759,909,874,449 with Prime Factorization
| 3 | 361, 759, 909, 874, 449 |
| 19 | 361, 253, 303, 874, 449 |
| 23 | 19, 253, 303, 46, 449 |
| 19, 11, 303, 2, 449 |
Multiply the prime numbers at the bottom and the left side.
3 x 19 x 23 x 19 x 11 x 303 x 2 x 449 = 74553483906
Therefore, the lowest common multiple of 361,759,909,874,449 is 74553483906.
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.
361 x 759 x 909 x 874 x 449 = 97739617400766
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.
361 : 1, 19, 361
759 : 1, 3, 11, 23, 33, 69, 253, 759
909 : 1, 3, 9, 101, 303, 909
874 : 1, 2, 19, 23, 38, 46, 437, 874
449 : 1, 449
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,759,909,874,449, is 1.
Now, the common factors can be found like this.
361:19x 19
759:3x 11x 23
909:3x 3x 101
874:2x 19x 23
449:449
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 19x 23 = 1311
Therefore, the value for common factors is 1311.
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 = 97739617400766/(1x1311)
LCM = 97739617400766/1311
LCM = 74553483906
Thus, we can understand that the LCM of 361,759,909,874,449 is 74553483906.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 361, 759, 909, 874, 449
1. What is the LCM of 361, 759, 909, 874, 449?
Answer: LCM of 361, 759, 909, 874, 449 is 74553483906.
2. How to calculate the LCM of 361, 759, 909, 874, 449?
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 361, 759, 909, 874, 449.
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}.