LCM of 314, 874, 814, 444
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 314, 874, 814, 444 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 314, 874, 814, 444. So, keep reading to learn more.
Given numbers are 314,874,814,444
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 314,874,814,444 is 335086356.
Find LCM of 314,874,814,444 with Prime Factorization
| 2 | 314, 874, 814, 444 |
| 37 | 157, 437, 407, 222 |
| 157, 437, 11, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 37 x 157 x 437 x 11 x 6 = 335086356
Therefore, the lowest common multiple of 314,874,814,444 is 335086356.
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.
314 x 874 x 814 x 444 = 99185561376
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.
314 : 1, 2, 157, 314
874 : 1, 2, 19, 23, 38, 46, 437, 874
814 : 1, 2, 11, 22, 37, 74, 407, 814
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,874,814,444, is 2.
Now, the common factors can be found like this.
314:2x 157
874:2x 19x 23
814:2x 11x 37
444:2x 2x 3x 37
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 37 = 148
Therefore, the value for common factors is 148.
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 = 99185561376/(2x148)
LCM = 99185561376/296
LCM = 335086356
Thus, we can understand that the LCM of 314,874,814,444 is 335086356.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 314, 874, 814, 444
1. What is the LCM of 314, 874, 814, 444?
Answer: LCM of 314, 874, 814, 444 is 335086356.
2. How to calculate the LCM of 314, 874, 814, 444?
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 314, 874, 814, 444.
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}.