LCM of 695, 583, 994, 434, 406
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 695, 583, 994, 434, 406 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 695, 583, 994, 434, 406. So, keep reading to learn more.
Given numbers are 695,583,994,434,406
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 695,583,994,434,406 is 362075747110.
Find LCM of 695,583,994,434,406 with Prime Factorization
| 2 | 695, 583, 994, 434, 406 |
| 7 | 695, 583, 497, 217, 203 |
| 695, 583, 71, 31, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 695 x 583 x 71 x 31 x 29 = 362075747110
Therefore, the lowest common multiple of 695,583,994,434,406 is 362075747110.
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.
695 x 583 x 994 x 434 x 406 = 70966846433560
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.
695 : 1, 5, 139, 695
583 : 1, 11, 53, 583
994 : 1, 2, 7, 14, 71, 142, 497, 994
434 : 1, 2, 7, 14, 31, 62, 217, 434
406 : 1, 2, 7, 14, 29, 58, 203, 406
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 695,583,994,434,406, is 1.
Now, the common factors can be found like this.
695:5x 139
583:11x 53
994:2x 7x 71
434:2x 7x 31
406:2x 7x 29
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 7x 7 = 196
Therefore, the value for common factors is 196.
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 = 70966846433560/(1x196)
LCM = 70966846433560/196
LCM = 362075747110
Thus, we can understand that the LCM of 695,583,994,434,406 is 362075747110.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 695, 583, 994, 434, 406
1. What is the LCM of 695, 583, 994, 434, 406?
Answer: LCM of 695, 583, 994, 434, 406 is 362075747110.
2. How to calculate the LCM of 695, 583, 994, 434, 406?
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 695, 583, 994, 434, 406.
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}.