LCM of 105, 447, 447, 264, 475
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 105, 447, 447, 264, 475 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 105, 447, 447, 264, 475. So, keep reading to learn more.
Given numbers are 105,447,447,264,475
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 105,447,447,264,475 is 130792200.
Find LCM of 105,447,447,264,475 with Prime Factorization
| 3 | 105, 447, 447, 264, 475 |
| 5 | 35, 149, 149, 88, 475 |
| 149 | 7, 149, 149, 88, 95 |
| 7, 1, 1, 88, 95 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 149 x 7 x 1 x 1 x 88 x 95 = 130792200
Therefore, the lowest common multiple of 105,447,447,264,475 is 130792200.
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.
105 x 447 x 447 x 264 x 475 = 2630885103000
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.
105 : 1, 3, 5, 7, 15, 21, 35, 105
447 : 1, 3, 149, 447
447 : 1, 3, 149, 447
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
475 : 1, 5, 19, 25, 95, 475
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,447,447,264,475, is 1.
Now, the common factors can be found like this.
105:3x 5x 7
447:3x 149
447:3x 149
264:2x 2x 2x 3x 11
475:5x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5x 149 = 20115
Therefore, the value for common factors is 20115.
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 = 2630885103000/(1x20115)
LCM = 2630885103000/20115
LCM = 130792200
Thus, we can understand that the LCM of 105,447,447,264,475 is 130792200.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 105, 447, 447, 264, 475
1. What is the LCM of 105, 447, 447, 264, 475?
Answer: LCM of 105, 447, 447, 264, 475 is 130792200.
2. How to calculate the LCM of 105, 447, 447, 264, 475?
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 105, 447, 447, 264, 475.
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}.