LCM of 104, 370, 482, 884, 148
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 104, 370, 482, 884, 148 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, 370, 482, 884, 148. So, keep reading to learn more.
Given numbers are 104,370,482,884,148
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 104,370,482,884,148 is 78826280.
Find LCM of 104,370,482,884,148 with Prime Factorization
| 2 | 104, 370, 482, 884, 148 |
| 2 | 52, 185, 241, 442, 74 |
| 13 | 26, 185, 241, 221, 37 |
| 37 | 2, 185, 241, 17, 37 |
| 2, 5, 241, 17, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 37 x 2 x 5 x 241 x 17 x 1 = 78826280
Therefore, the lowest common multiple of 104,370,482,884,148 is 78826280.
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 370 x 482 x 884 x 148 = 2426588203520
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
370 : 1, 2, 5, 10, 37, 74, 185, 370
482 : 1, 2, 241, 482
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
148 : 1, 2, 4, 37, 74, 148
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 104,370,482,884,148, is 2.
Now, the common factors can be found like this.
104:2x 2x 2x 13
370:2x 5x 37
482:2x 241
884:2x 2x 13x 17
148:2x 2x 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 2x 2x 2x 13x 37 = 15392
Therefore, the value for common factors is 15392.
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 = 2426588203520/(2x15392)
LCM = 2426588203520/30784
LCM = 78826280
Thus, we can understand that the LCM of 104,370,482,884,148 is 78826280.
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FAQs on LCM of 104, 370, 482, 884, 148
1. What is the LCM of 104, 370, 482, 884, 148?
Answer: LCM of 104, 370, 482, 884, 148 is 78826280.
2. How to calculate the LCM of 104, 370, 482, 884, 148?
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, 370, 482, 884, 148.
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}.