LCM of 362, 905, 908, 449
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 362, 905, 908, 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 362, 905, 908, 449. So, keep reading to learn more.
Given numbers are 362,905,908,449
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 362,905,908,449 is 368961260.
Find LCM of 362,905,908,449 with Prime Factorization
| 2 | 362, 905, 908, 449 |
| 181 | 181, 905, 454, 449 |
| 1, 5, 454, 449 |
Multiply the prime numbers at the bottom and the left side.
2 x 181 x 1 x 5 x 454 x 449 = 368961260
Therefore, the lowest common multiple of 362,905,908,449 is 368961260.
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.
362 x 905 x 908 x 449 = 133563976120
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.
362 : 1, 2, 181, 362
905 : 1, 5, 181, 905
908 : 1, 2, 4, 227, 454, 908
449 : 1, 449
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 362,905,908,449, is 1.
Now, the common factors can be found like this.
362:2x 181
905:5x 181
908:2x 2x 227
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.
2x 181 = 362
Therefore, the value for common factors is 362.
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 = 133563976120/(1x362)
LCM = 133563976120/362
LCM = 368961260
Thus, we can understand that the LCM of 362,905,908,449 is 368961260.
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FAQs on LCM of 362, 905, 908, 449
1. What is the LCM of 362, 905, 908, 449?
Answer: LCM of 362, 905, 908, 449 is 368961260.
2. How to calculate the LCM of 362, 905, 908, 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 362, 905, 908, 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}.