LCM of 254, 956, 478, 984
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 254, 956, 478, 984 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 254, 956, 478, 984. So, keep reading to learn more.
Given numbers are 254,956,478,984
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 254,956,478,984 is 29867352.
Find LCM of 254,956,478,984 with Prime Factorization
| 2 | 254, 956, 478, 984 |
| 2 | 127, 478, 239, 492 |
| 239 | 127, 239, 239, 246 |
| 127, 1, 1, 246 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 239 x 127 x 1 x 1 x 246 = 29867352
Therefore, the lowest common multiple of 254,956,478,984 is 29867352.
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.
254 x 956 x 478 x 984 = 114212754048
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.
254 : 1, 2, 127, 254
956 : 1, 2, 4, 239, 478, 956
478 : 1, 2, 239, 478
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 254,956,478,984, is 2.
Now, the common factors can be found like this.
254:2x 127
956:2x 2x 239
478:2x 239
984:2x 2x 2x 3x 41
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 239 = 1912
Therefore, the value for common factors is 1912.
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 = 114212754048/(2x1912)
LCM = 114212754048/3824
LCM = 29867352
Thus, we can understand that the LCM of 254,956,478,984 is 29867352.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 254, 956, 478, 984
1. What is the LCM of 254, 956, 478, 984?
Answer: LCM of 254, 956, 478, 984 is 29867352.
2. How to calculate the LCM of 254, 956, 478, 984?
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 254, 956, 478, 984.
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}.