LCM of 418, 384, 352, 723
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 418, 384, 352, 723 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 418, 384, 352, 723. So, keep reading to learn more.
Given numbers are 418,384,352,723
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,384,352,723 is 19341696.
Find LCM of 418,384,352,723 with Prime Factorization
| 2 | 418, 384, 352, 723 |
| 2 | 209, 192, 176, 723 |
| 2 | 209, 96, 88, 723 |
| 2 | 209, 48, 44, 723 |
| 2 | 209, 24, 22, 723 |
| 3 | 209, 12, 11, 723 |
| 11 | 209, 4, 11, 241 |
| 19, 4, 1, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 11 x 19 x 4 x 1 x 241 = 19341696
Therefore, the lowest common multiple of 418,384,352,723 is 19341696.
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.
418 x 384 x 352 x 723 = 40849661952
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.
418 : 1, 2, 11, 19, 22, 38, 209, 418
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
723 : 1, 3, 241, 723
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,384,352,723, is 1.
Now, the common factors can be found like this.
418:2x 11x 19
384:2x 2x 2x 2x 2x 2x 2x 3
352:2x 2x 2x 2x 2x 11
723:3x 241
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 2x 3x 11 = 2112
Therefore, the value for common factors is 2112.
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 = 40849661952/(1x2112)
LCM = 40849661952/2112
LCM = 19341696
Thus, we can understand that the LCM of 418,384,352,723 is 19341696.
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FAQs on LCM of 418, 384, 352, 723
1. What is the LCM of 418, 384, 352, 723?
Answer: LCM of 418, 384, 352, 723 is 19341696.
2. How to calculate the LCM of 418, 384, 352, 723?
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 418, 384, 352, 723.
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}.