LCM of 108, 407, 434, 912
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 108, 407, 434, 912 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 108, 407, 434, 912. So, keep reading to learn more.
Given numbers are 108,407,434,912
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 108,407,434,912 is 724922352.
Find LCM of 108,407,434,912 with Prime Factorization
| 2 | 108, 407, 434, 912 |
| 2 | 54, 407, 217, 456 |
| 3 | 27, 407, 217, 228 |
| 9, 407, 217, 76 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 9 x 407 x 217 x 76 = 724922352
Therefore, the lowest common multiple of 108,407,434,912 is 724922352.
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.
108 x 407 x 434 x 912 = 17398136448
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.
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
407 : 1, 11, 37, 407
434 : 1, 2, 7, 14, 31, 62, 217, 434
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 108,407,434,912, is 1.
Now, the common factors can be found like this.
108:2x 2x 3x 3x 3
407:11x 37
434:2x 7x 31
912:2x 2x 2x 2x 3x 19
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 3 = 24
Therefore, the value for common factors is 24.
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 = 17398136448/(1x24)
LCM = 17398136448/24
LCM = 724922352
Thus, we can understand that the LCM of 108,407,434,912 is 724922352.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 108, 407, 434, 912
1. What is the LCM of 108, 407, 434, 912?
Answer: LCM of 108, 407, 434, 912 is 724922352.
2. How to calculate the LCM of 108, 407, 434, 912?
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 108, 407, 434, 912.
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}.