LCM of 398, 931, 152, 418, 714
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 398, 931, 152, 418, 714 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, 931, 152, 418, 714. So, keep reading to learn more.
Given numbers are 398,931,152,418,714
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 398,931,152,418,714 is 831487272.
Find LCM of 398,931,152,418,714 with Prime Factorization
| 2 | 398, 931, 152, 418, 714 |
| 7 | 199, 931, 76, 209, 357 |
| 19 | 199, 133, 76, 209, 51 |
| 199, 7, 4, 11, 51 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 19 x 199 x 7 x 4 x 11 x 51 = 831487272
Therefore, the lowest common multiple of 398,931,152,418,714 is 831487272.
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 931 x 152 x 418 x 714 = 16809346690752
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
931 : 1, 7, 19, 49, 133, 931
152 : 1, 2, 4, 8, 19, 38, 76, 152
418 : 1, 2, 11, 19, 22, 38, 209, 418
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,931,152,418,714, is 1.
Now, the common factors can be found like this.
398:2x 199
931:7x 7x 19
152:2x 2x 2x 19
418:2x 11x 19
714:2x 3x 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 7x 19x 19 = 20216
Therefore, the value for common factors is 20216.
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 = 16809346690752/(1x20216)
LCM = 16809346690752/20216
LCM = 831487272
Thus, we can understand that the LCM of 398,931,152,418,714 is 831487272.
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FAQs on LCM of 398, 931, 152, 418, 714
1. What is the LCM of 398, 931, 152, 418, 714?
Answer: LCM of 398, 931, 152, 418, 714 is 831487272.
2. How to calculate the LCM of 398, 931, 152, 418, 714?
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, 931, 152, 418, 714.
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}.