LCM of 869, 824, 407, 444
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 869, 824, 407, 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 869, 824, 407, 444. So, keep reading to learn more.
Given numbers are 869,824,407,444
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 869,824,407,444 is 79482216.
Find LCM of 869,824,407,444 with Prime Factorization
| 2 | 869, 824, 407, 444 |
| 2 | 869, 412, 407, 222 |
| 11 | 869, 206, 407, 111 |
| 37 | 79, 206, 37, 111 |
| 79, 206, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 37 x 79 x 206 x 1 x 3 = 79482216
Therefore, the lowest common multiple of 869,824,407,444 is 79482216.
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.
869 x 824 x 407 x 444 = 129397047648
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.
869 : 1, 11, 79, 869
824 : 1, 2, 4, 8, 103, 206, 412, 824
407 : 1, 11, 37, 407
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 869,824,407,444, is 1.
Now, the common factors can be found like this.
869:11x 79
824:2x 2x 2x 103
407:11x 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 11x 37 = 1628
Therefore, the value for common factors is 1628.
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 = 129397047648/(1x1628)
LCM = 129397047648/1628
LCM = 79482216
Thus, we can understand that the LCM of 869,824,407,444 is 79482216.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 869, 824, 407, 444
1. What is the LCM of 869, 824, 407, 444?
Answer: LCM of 869, 824, 407, 444 is 79482216.
2. How to calculate the LCM of 869, 824, 407, 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 869, 824, 407, 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}.