LCM of 749, 901, 468, 984
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 749, 901, 468, 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 749, 901, 468, 984. So, keep reading to learn more.
Given numbers are 749,901,468,984
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 749,901,468,984 is 25898005224.
Find LCM of 749,901,468,984 with Prime Factorization
| 2 | 749, 901, 468, 984 |
| 2 | 749, 901, 234, 492 |
| 3 | 749, 901, 117, 246 |
| 749, 901, 39, 82 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 749 x 901 x 39 x 82 = 25898005224
Therefore, the lowest common multiple of 749,901,468,984 is 25898005224.
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.
749 x 901 x 468 x 984 = 310776062688
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.
749 : 1, 7, 107, 749
901 : 1, 17, 53, 901
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,901,468,984, is 1.
Now, the common factors can be found like this.
749:7x 107
901:17x 53
468:2x 2x 3x 3x 13
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 3 = 12
Therefore, the value for common factors is 12.
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 = 310776062688/(1x12)
LCM = 310776062688/12
LCM = 25898005224
Thus, we can understand that the LCM of 749,901,468,984 is 25898005224.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 749, 901, 468, 984
1. What is the LCM of 749, 901, 468, 984?
Answer: LCM of 749, 901, 468, 984 is 25898005224.
2. How to calculate the LCM of 749, 901, 468, 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 749, 901, 468, 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}.