LCM of 675, 901, 936, 948
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 675, 901, 936, 948 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 675, 901, 936, 948. So, keep reading to learn more.
Given numbers are 675,901,936,948
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 675,901,936,948 is 4996765800.
Find LCM of 675,901,936,948 with Prime Factorization
| 2 | 675, 901, 936, 948 |
| 2 | 675, 901, 468, 474 |
| 3 | 675, 901, 234, 237 |
| 3 | 225, 901, 78, 79 |
| 75, 901, 26, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 75 x 901 x 26 x 79 = 4996765800
Therefore, the lowest common multiple of 675,901,936,948 is 4996765800.
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.
675 x 901 x 936 x 948 = 539650706400
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.
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
901 : 1, 17, 53, 901
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 675,901,936,948, is 1.
Now, the common factors can be found like this.
675:3x 3x 3x 5x 5
901:17x 53
936:2x 2x 2x 3x 3x 13
948:2x 2x 3x 79
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 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 539650706400/(1x108)
LCM = 539650706400/108
LCM = 4996765800
Thus, we can understand that the LCM of 675,901,936,948 is 4996765800.
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FAQs on LCM of 675, 901, 936, 948
1. What is the LCM of 675, 901, 936, 948?
Answer: LCM of 675, 901, 936, 948 is 4996765800.
2. How to calculate the LCM of 675, 901, 936, 948?
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 675, 901, 936, 948.
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}.