LCM of 104, 168, 566, 782, 597
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 104, 168, 566, 782, 597 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 104, 168, 566, 782, 597. So, keep reading to learn more.
Given numbers are 104,168,566,782,597
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 104,168,566,782,597 is 48091564248.
Find LCM of 104,168,566,782,597 with Prime Factorization
| 2 | 104, 168, 566, 782, 597 |
| 2 | 52, 84, 283, 391, 597 |
| 2 | 26, 42, 283, 391, 597 |
| 3 | 13, 21, 283, 391, 597 |
| 13, 7, 283, 391, 199 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 7 x 283 x 391 x 199 = 48091564248
Therefore, the lowest common multiple of 104,168,566,782,597 is 48091564248.
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.
104 x 168 x 566 x 782 x 597 = 4616790167808
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.
104 : 1, 2, 4, 8, 13, 26, 52, 104
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
566 : 1, 2, 283, 566
782 : 1, 2, 17, 23, 34, 46, 391, 782
597 : 1, 3, 199, 597
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 104,168,566,782,597, is 1.
Now, the common factors can be found like this.
104:2x 2x 2x 13
168:2x 2x 2x 3x 7
566:2x 283
782:2x 17x 23
597:3x 199
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 2x 2x 3 = 96
Therefore, the value for common factors is 96.
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 = 4616790167808/(1x96)
LCM = 4616790167808/96
LCM = 48091564248
Thus, we can understand that the LCM of 104,168,566,782,597 is 48091564248.
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FAQs on LCM of 104, 168, 566, 782, 597
1. What is the LCM of 104, 168, 566, 782, 597?
Answer: LCM of 104, 168, 566, 782, 597 is 48091564248.
2. How to calculate the LCM of 104, 168, 566, 782, 597?
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 104, 168, 566, 782, 597.
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}.