LCM of 374, 310, 418, 475, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 374, 310, 418, 475, 414 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 374, 310, 418, 475, 414. So, keep reading to learn more.
Given numbers are 374,310,418,475,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 374,310,418,475,414 is 1139980050.
Find LCM of 374,310,418,475,414 with Prime Factorization
| 2 | 374, 310, 418, 475, 414 |
| 5 | 187, 155, 209, 475, 207 |
| 11 | 187, 31, 209, 95, 207 |
| 19 | 17, 31, 19, 95, 207 |
| 17, 31, 1, 5, 207 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 19 x 17 x 31 x 1 x 5 x 207 = 1139980050
Therefore, the lowest common multiple of 374,310,418,475,414 is 1139980050.
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.
374 x 310 x 418 x 475 x 414 = 9530233218000
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.
374 : 1, 2, 11, 17, 22, 34, 187, 374
310 : 1, 2, 5, 10, 31, 62, 155, 310
418 : 1, 2, 11, 19, 22, 38, 209, 418
475 : 1, 5, 19, 25, 95, 475
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,310,418,475,414, is 1.
Now, the common factors can be found like this.
374:2x 11x 17
310:2x 5x 31
418:2x 11x 19
475:5x 5x 19
414:2x 3x 3x 23
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 5x 11x 19 = 8360
Therefore, the value for common factors is 8360.
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 = 9530233218000/(1x8360)
LCM = 9530233218000/8360
LCM = 1139980050
Thus, we can understand that the LCM of 374,310,418,475,414 is 1139980050.
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FAQs on LCM of 374, 310, 418, 475, 414
1. What is the LCM of 374, 310, 418, 475, 414?
Answer: LCM of 374, 310, 418, 475, 414 is 1139980050.
2. How to calculate the LCM of 374, 310, 418, 475, 414?
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 374, 310, 418, 475, 414.
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}.