LCM of 400, 508, 940, 658
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 400, 508, 940, 658 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 400, 508, 940, 658. So, keep reading to learn more.
Given numbers are 400,508,940,658
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 400,508,940,658 is 16713200.
Find LCM of 400,508,940,658 with Prime Factorization
| 2 | 400, 508, 940, 658 |
| 2 | 200, 254, 470, 329 |
| 5 | 100, 127, 235, 329 |
| 47 | 20, 127, 47, 329 |
| 20, 127, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 47 x 20 x 127 x 1 x 7 = 16713200
Therefore, the lowest common multiple of 400,508,940,658 is 16713200.
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.
400 x 508 x 940 x 658 = 125683264000
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.
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
508 : 1, 2, 4, 127, 254, 508
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
658 : 1, 2, 7, 14, 47, 94, 329, 658
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 400,508,940,658, is 2.
Now, the common factors can be found like this.
400:2x 2x 2x 2x 5x 5
508:2x 2x 127
940:2x 2x 5x 47
658:2x 7x 47
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 2x 5x 47 = 3760
Therefore, the value for common factors is 3760.
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 = 125683264000/(2x3760)
LCM = 125683264000/7520
LCM = 16713200
Thus, we can understand that the LCM of 400,508,940,658 is 16713200.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 400, 508, 940, 658
1. What is the LCM of 400, 508, 940, 658?
Answer: LCM of 400, 508, 940, 658 is 16713200.
2. How to calculate the LCM of 400, 508, 940, 658?
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 400, 508, 940, 658.
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}.