LCM of 444, 368, 814, 667
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 444, 368, 814, 667 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 444, 368, 814, 667. So, keep reading to learn more.
Given numbers are 444,368,814,667
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 444,368,814,667 is 13030512.
Find LCM of 444,368,814,667 with Prime Factorization
| 2 | 444, 368, 814, 667 |
| 2 | 222, 184, 407, 667 |
| 23 | 111, 92, 407, 667 |
| 37 | 111, 4, 407, 29 |
| 3, 4, 11, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 23 x 37 x 3 x 4 x 11 x 29 = 13030512
Therefore, the lowest common multiple of 444,368,814,667 is 13030512.
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.
444 x 368 x 814 x 667 = 88711725696
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.
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
814 : 1, 2, 11, 22, 37, 74, 407, 814
667 : 1, 23, 29, 667
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 444,368,814,667, is 1.
Now, the common factors can be found like this.
444:2x 2x 3x 37
368:2x 2x 2x 2x 23
814:2x 11x 37
667:23x 29
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 23x 37 = 6808
Therefore, the value for common factors is 6808.
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 = 88711725696/(1x6808)
LCM = 88711725696/6808
LCM = 13030512
Thus, we can understand that the LCM of 444,368,814,667 is 13030512.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 444, 368, 814, 667
1. What is the LCM of 444, 368, 814, 667?
Answer: LCM of 444, 368, 814, 667 is 13030512.
2. How to calculate the LCM of 444, 368, 814, 667?
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 444, 368, 814, 667.
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}.