LCM of 407, 312, 468, 987, 374
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 407, 312, 468, 987, 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 407, 312, 468, 987, 374. So, keep reading to learn more.
Given numbers are 407,312,468,987,374
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 407,312,468,987,374 is 2130664536.
Find LCM of 407,312,468,987,374 with Prime Factorization
| 2 | 407, 312, 468, 987, 374 |
| 2 | 407, 156, 234, 987, 187 |
| 3 | 407, 78, 117, 987, 187 |
| 11 | 407, 26, 39, 329, 187 |
| 13 | 37, 26, 39, 329, 17 |
| 37, 2, 3, 329, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 13 x 37 x 2 x 3 x 329 x 17 = 2130664536
Therefore, the lowest common multiple of 407,312,468,987,374 is 2130664536.
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.
407 x 312 x 468 x 987 x 374 = 21937322062656
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.
407 : 1, 11, 37, 407
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
987 : 1, 3, 7, 21, 47, 141, 329, 987
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 407,312,468,987,374, is 1.
Now, the common factors can be found like this.
407:11x 37
312:2x 2x 2x 3x 13
468:2x 2x 3x 3x 13
987:3x 7x 47
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 3x 3x 11x 13 = 10296
Therefore, the value for common factors is 10296.
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 = 21937322062656/(1x10296)
LCM = 21937322062656/10296
LCM = 2130664536
Thus, we can understand that the LCM of 407,312,468,987,374 is 2130664536.
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FAQs on LCM of 407, 312, 468, 987, 374
1. What is the LCM of 407, 312, 468, 987, 374?
Answer: LCM of 407, 312, 468, 987, 374 is 2130664536.
2. How to calculate the LCM of 407, 312, 468, 987, 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 407, 312, 468, 987, 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}.