LCM of 935, 400, 597, 496, 374
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 935, 400, 597, 496, 374 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 935, 400, 597, 496, 374. So, keep reading to learn more.
Given numbers are 935,400,597,496,374
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 935,400,597,496,374 is 1384323600.
Find LCM of 935,400,597,496,374 with Prime Factorization
| 2 | 935, 400, 597, 496, 374 |
| 2 | 935, 200, 597, 248, 187 |
| 2 | 935, 100, 597, 124, 187 |
| 2 | 935, 50, 597, 62, 187 |
| 5 | 935, 25, 597, 31, 187 |
| 11 | 187, 5, 597, 31, 187 |
| 17 | 17, 5, 597, 31, 17 |
| 1, 5, 597, 31, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 11 x 17 x 1 x 5 x 597 x 31 x 1 = 1384323600
Therefore, the lowest common multiple of 935,400,597,496,374 is 1384323600.
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.
935 x 400 x 597 x 496 x 374 = 41418962112000
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.
935 : 1, 5, 11, 17, 55, 85, 187, 935
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
597 : 1, 3, 199, 597
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
374 : 1, 2, 11, 17, 22, 34, 187, 374
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 935,400,597,496,374, is 1.
Now, the common factors can be found like this.
935:5x 11x 17
400:2x 2x 2x 2x 5x 5
597:3x 199
496:2x 2x 2x 2x 31
374:2x 11x 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 2x 5x 11x 17 = 29920
Therefore, the value for common factors is 29920.
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 = 41418962112000/(1x29920)
LCM = 41418962112000/29920
LCM = 1384323600
Thus, we can understand that the LCM of 935,400,597,496,374 is 1384323600.
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FAQs on LCM of 935, 400, 597, 496, 374
1. What is the LCM of 935, 400, 597, 496, 374?
Answer: LCM of 935, 400, 597, 496, 374 is 1384323600.
2. How to calculate the LCM of 935, 400, 597, 496, 374?
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 935, 400, 597, 496, 374.
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}.