LCM of 319, 756, 606, 128, 823
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 319, 756, 606, 128, 823 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 319, 756, 606, 128, 823. So, keep reading to learn more.
Given numbers are 319,756,606,128,823
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,756,606,128,823 is 641480805504.
Find LCM of 319,756,606,128,823 with Prime Factorization
| 2 | 319, 756, 606, 128, 823 |
| 2 | 319, 378, 303, 64, 823 |
| 3 | 319, 189, 303, 32, 823 |
| 319, 63, 101, 32, 823 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 319 x 63 x 101 x 32 x 823 = 641480805504
Therefore, the lowest common multiple of 319,756,606,128,823 is 641480805504.
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.
319 x 756 x 606 x 128 x 823 = 15395539332096
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.
319 : 1, 11, 29, 319
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
606 : 1, 2, 3, 6, 101, 202, 303, 606
128 : 1, 2, 4, 8, 16, 32, 64, 128
823 : 1, 823
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,756,606,128,823, is 1.
Now, the common factors can be found like this.
319:11x 29
756:2x 2x 3x 3x 3x 7
606:2x 3x 101
128:2x 2x 2x 2x 2x 2x 2
823:823
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 3 = 24
Therefore, the value for common factors is 24.
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 = 15395539332096/(1x24)
LCM = 15395539332096/24
LCM = 641480805504
Thus, we can understand that the LCM of 319,756,606,128,823 is 641480805504.
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FAQs on LCM of 319, 756, 606, 128, 823
1. What is the LCM of 319, 756, 606, 128, 823?
Answer: LCM of 319, 756, 606, 128, 823 is 641480805504.
2. How to calculate the LCM of 319, 756, 606, 128, 823?
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 319, 756, 606, 128, 823.
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}.