LCM of 398, 762, 652, 372, 434
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 398, 762, 652, 372, 434 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 398, 762, 652, 372, 434. So, keep reading to learn more.
Given numbers are 398,762,652,372,434
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 398,762,652,372,434 is 10727175396.
Find LCM of 398,762,652,372,434 with Prime Factorization
| 2 | 398, 762, 652, 372, 434 |
| 2 | 199, 381, 326, 186, 217 |
| 3 | 199, 381, 163, 93, 217 |
| 31 | 199, 127, 163, 31, 217 |
| 199, 127, 163, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 31 x 199 x 127 x 163 x 1 x 7 = 10727175396
Therefore, the lowest common multiple of 398,762,652,372,434 is 10727175396.
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.
398 x 762 x 652 x 372 x 434 = 31924073978496
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.
398 : 1, 2, 199, 398
762 : 1, 2, 3, 6, 127, 254, 381, 762
652 : 1, 2, 4, 163, 326, 652
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
434 : 1, 2, 7, 14, 31, 62, 217, 434
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,762,652,372,434, is 2.
Now, the common factors can be found like this.
398:2x 199
762:2x 3x 127
652:2x 2x 163
372:2x 2x 3x 31
434:2x 7x 31
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 3x 31 = 1488
Therefore, the value for common factors is 1488.
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 = 31924073978496/(2x1488)
LCM = 31924073978496/2976
LCM = 10727175396
Thus, we can understand that the LCM of 398,762,652,372,434 is 10727175396.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 398, 762, 652, 372, 434
1. What is the LCM of 398, 762, 652, 372, 434?
Answer: LCM of 398, 762, 652, 372, 434 is 10727175396.
2. How to calculate the LCM of 398, 762, 652, 372, 434?
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 398, 762, 652, 372, 434.
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}.