LCM of 398, 680, 414, 952
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 398, 680, 414, 952 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, 680, 414, 952. So, keep reading to learn more.
Given numbers are 398,680,414,952
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 398,680,414,952 is 196078680.
Find LCM of 398,680,414,952 with Prime Factorization
| 2 | 398, 680, 414, 952 |
| 2 | 199, 340, 207, 476 |
| 2 | 199, 170, 207, 238 |
| 17 | 199, 85, 207, 119 |
| 199, 5, 207, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 17 x 199 x 5 x 207 x 7 = 196078680
Therefore, the lowest common multiple of 398,680,414,952 is 196078680.
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 680 x 414 x 952 = 106666801920
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
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,680,414,952, is 2.
Now, the common factors can be found like this.
398:2x 199
680:2x 2x 2x 5x 17
414:2x 3x 3x 23
952:2x 2x 2x 7x 17
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 17 = 272
Therefore, the value for common factors is 272.
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 = 106666801920/(2x272)
LCM = 106666801920/544
LCM = 196078680
Thus, we can understand that the LCM of 398,680,414,952 is 196078680.
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, 680, 414, 952
1. What is the LCM of 398, 680, 414, 952?
Answer: LCM of 398, 680, 414, 952 is 196078680.
2. How to calculate the LCM of 398, 680, 414, 952?
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, 680, 414, 952.
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}.