LCM of 414, 856, 321, 951
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 414, 856, 321, 951 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 414, 856, 321, 951. So, keep reading to learn more.
Given numbers are 414,856,321,951
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 414,856,321,951 is 56169864.
Find LCM of 414,856,321,951 with Prime Factorization
| 2 | 414, 856, 321, 951 |
| 3 | 207, 428, 321, 951 |
| 107 | 69, 428, 107, 317 |
| 69, 4, 1, 317 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 107 x 69 x 4 x 1 x 317 = 56169864
Therefore, the lowest common multiple of 414,856,321,951 is 56169864.
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.
414 x 856 x 321 x 951 = 108183158064
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.
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
856 : 1, 2, 4, 8, 107, 214, 428, 856
321 : 1, 3, 107, 321
951 : 1, 3, 317, 951
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,856,321,951, is 1.
Now, the common factors can be found like this.
414:2x 3x 3x 23
856:2x 2x 2x 107
321:3x 107
951:3x 317
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 107 = 1926
Therefore, the value for common factors is 1926.
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 = 108183158064/(1x1926)
LCM = 108183158064/1926
LCM = 56169864
Thus, we can understand that the LCM of 414,856,321,951 is 56169864.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 414, 856, 321, 951
1. What is the LCM of 414, 856, 321, 951?
Answer: LCM of 414, 856, 321, 951 is 56169864.
2. How to calculate the LCM of 414, 856, 321, 951?
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 414, 856, 321, 951.
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}.