LCM of 329, 467, 418, 377, 407
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 329, 467, 418, 377, 407 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 329, 467, 418, 377, 407. So, keep reading to learn more.
Given numbers are 329,467,418,377,407
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 329,467,418,377,407 is 895843474526.
Find LCM of 329,467,418,377,407 with Prime Factorization
| 11 | 329, 467, 418, 377, 407 |
| 329, 467, 38, 377, 37 |
Multiply the prime numbers at the bottom and the left side.
11 x 329 x 467 x 38 x 377 x 37 = 895843474526
Therefore, the lowest common multiple of 329,467,418,377,407 is 895843474526.
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.
329 x 467 x 418 x 377 x 407 = 9854278219786
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.
329 : 1, 7, 47, 329
467 : 1, 467
418 : 1, 2, 11, 19, 22, 38, 209, 418
377 : 1, 13, 29, 377
407 : 1, 11, 37, 407
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 329,467,418,377,407, is 1.
Now, the common factors can be found like this.
329:7x 47
467:467
418:2x 11x 19
377:13x 29
407:11x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 9854278219786/(1x11)
LCM = 9854278219786/11
LCM = 895843474526
Thus, we can understand that the LCM of 329,467,418,377,407 is 895843474526.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 329, 467, 418, 377, 407
1. What is the LCM of 329, 467, 418, 377, 407?
Answer: LCM of 329, 467, 418, 377, 407 is 895843474526.
2. How to calculate the LCM of 329, 467, 418, 377, 407?
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 329, 467, 418, 377, 407.
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}.