LCM of 648, 128, 901, 371
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 648, 128, 901, 371 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 648, 128, 901, 371. So, keep reading to learn more.
Given numbers are 648,128,901,371
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 648,128,901,371 is 65390976.
Find LCM of 648,128,901,371 with Prime Factorization
| 2 | 648, 128, 901, 371 |
| 2 | 324, 64, 901, 371 |
| 2 | 162, 32, 901, 371 |
| 53 | 81, 16, 901, 371 |
| 81, 16, 17, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 53 x 81 x 16 x 17 x 7 = 65390976
Therefore, the lowest common multiple of 648,128,901,371 is 65390976.
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.
648 x 128 x 901 x 371 = 27725773824
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.
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
128 : 1, 2, 4, 8, 16, 32, 64, 128
901 : 1, 17, 53, 901
371 : 1, 7, 53, 371
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 648,128,901,371, is 1.
Now, the common factors can be found like this.
648:2x 2x 2x 3x 3x 3x 3
128:2x 2x 2x 2x 2x 2x 2
901:17x 53
371:7x 53
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 53 = 424
Therefore, the value for common factors is 424.
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 = 27725773824/(1x424)
LCM = 27725773824/424
LCM = 65390976
Thus, we can understand that the LCM of 648,128,901,371 is 65390976.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 648, 128, 901, 371
1. What is the LCM of 648, 128, 901, 371?
Answer: LCM of 648, 128, 901, 371 is 65390976.
2. How to calculate the LCM of 648, 128, 901, 371?
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 648, 128, 901, 371.
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}.