LCM of 308, 359, 936, 594, 397
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 308, 359, 936, 594, 397 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 308, 359, 936, 594, 397. So, keep reading to learn more.
Given numbers are 308,359,936,594,397
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 308,359,936,594,397 is 30815752968.
Find LCM of 308,359,936,594,397 with Prime Factorization
| 2 | 308, 359, 936, 594, 397 |
| 2 | 154, 359, 468, 297, 397 |
| 3 | 77, 359, 234, 297, 397 |
| 3 | 77, 359, 78, 99, 397 |
| 11 | 77, 359, 26, 33, 397 |
| 7, 359, 26, 3, 397 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 7 x 359 x 26 x 3 x 397 = 30815752968
Therefore, the lowest common multiple of 308,359,936,594,397 is 30815752968.
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.
308 x 359 x 936 x 594 x 397 = 24406076350656
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.
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
359 : 1, 359
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
397 : 1, 397
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,359,936,594,397, is 1.
Now, the common factors can be found like this.
308:2x 2x 7x 11
359:359
936:2x 2x 2x 3x 3x 13
594:2x 3x 3x 3x 11
397:397
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 3x 3x 11 = 792
Therefore, the value for common factors is 792.
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 = 24406076350656/(1x792)
LCM = 24406076350656/792
LCM = 30815752968
Thus, we can understand that the LCM of 308,359,936,594,397 is 30815752968.
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FAQs on LCM of 308, 359, 936, 594, 397
1. What is the LCM of 308, 359, 936, 594, 397?
Answer: LCM of 308, 359, 936, 594, 397 is 30815752968.
2. How to calculate the LCM of 308, 359, 936, 594, 397?
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 308, 359, 936, 594, 397.
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}.