LCM of 484, 399, 407, 988
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 484, 399, 407, 988 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 484, 399, 407, 988. So, keep reading to learn more.
Given numbers are 484,399,407,988
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 484,399,407,988 is 92888796.
Find LCM of 484,399,407,988 with Prime Factorization
| 2 | 484, 399, 407, 988 |
| 2 | 242, 399, 407, 494 |
| 11 | 121, 399, 407, 247 |
| 19 | 11, 399, 37, 247 |
| 11, 21, 37, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 19 x 11 x 21 x 37 x 13 = 92888796
Therefore, the lowest common multiple of 484,399,407,988 is 92888796.
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.
484 x 399 x 407 x 988 = 77655033456
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.
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
399 : 1, 3, 7, 19, 21, 57, 133, 399
407 : 1, 11, 37, 407
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,399,407,988, is 1.
Now, the common factors can be found like this.
484:2x 2x 11x 11
399:3x 7x 19
407:11x 37
988:2x 2x 13x 19
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 11x 19 = 836
Therefore, the value for common factors is 836.
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 = 77655033456/(1x836)
LCM = 77655033456/836
LCM = 92888796
Thus, we can understand that the LCM of 484,399,407,988 is 92888796.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 484, 399, 407, 988
1. What is the LCM of 484, 399, 407, 988?
Answer: LCM of 484, 399, 407, 988 is 92888796.
2. How to calculate the LCM of 484, 399, 407, 988?
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 484, 399, 407, 988.
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}.