LCM of 398, 508, 776, 606, 203
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 398, 508, 776, 606, 203 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 398, 508, 776, 606, 203. So, keep reading to learn more.
Given numbers are 398,508,776,606,203
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 398,508,776,606,203 is 1206305158632.
Find LCM of 398,508,776,606,203 with Prime Factorization
| 2 | 398, 508, 776, 606, 203 |
| 2 | 199, 254, 388, 303, 203 |
| 199, 127, 194, 303, 203 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 199 x 127 x 194 x 303 x 203 = 1206305158632
Therefore, the lowest common multiple of 398,508,776,606,203 is 1206305158632.
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.
398 x 508 x 776 x 606 x 203 = 19300882538112
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.
398 : 1, 2, 199, 398
508 : 1, 2, 4, 127, 254, 508
776 : 1, 2, 4, 8, 97, 194, 388, 776
606 : 1, 2, 3, 6, 101, 202, 303, 606
203 : 1, 7, 29, 203
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,508,776,606,203, is 1.
Now, the common factors can be found like this.
398:2x 199
508:2x 2x 127
776:2x 2x 2x 97
606:2x 3x 101
203:7x 29
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 2 = 16
Therefore, the value for common factors is 16.
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 = 19300882538112/(1x16)
LCM = 19300882538112/16
LCM = 1206305158632
Thus, we can understand that the LCM of 398,508,776,606,203 is 1206305158632.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 398, 508, 776, 606, 203
1. What is the LCM of 398, 508, 776, 606, 203?
Answer: LCM of 398, 508, 776, 606, 203 is 1206305158632.
2. How to calculate the LCM of 398, 508, 776, 606, 203?
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 398, 508, 776, 606, 203.
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}.