LCM of 409, 803, 298, 438
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 409, 803, 298, 438 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 409, 803, 298, 438. So, keep reading to learn more.
Given numbers are 409,803,298,438
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 409,803,298,438 is 293613738.
Find LCM of 409,803,298,438 with Prime Factorization
| 2 | 409, 803, 298, 438 |
| 73 | 409, 803, 149, 219 |
| 409, 11, 149, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 73 x 409 x 11 x 149 x 3 = 293613738
Therefore, the lowest common multiple of 409,803,298,438 is 293613738.
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.
409 x 803 x 298 x 438 = 42867605748
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.
409 : 1, 409
803 : 1, 11, 73, 803
298 : 1, 2, 149, 298
438 : 1, 2, 3, 6, 73, 146, 219, 438
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,803,298,438, is 1.
Now, the common factors can be found like this.
409:409
803:11x 73
298:2x 149
438:2x 3x 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 73 = 146
Therefore, the value for common factors is 146.
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 = 42867605748/(1x146)
LCM = 42867605748/146
LCM = 293613738
Thus, we can understand that the LCM of 409,803,298,438 is 293613738.
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FAQs on LCM of 409, 803, 298, 438
1. What is the LCM of 409, 803, 298, 438?
Answer: LCM of 409, 803, 298, 438 is 293613738.
2. How to calculate the LCM of 409, 803, 298, 438?
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 409, 803, 298, 438.
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}.