LCM of 174, 660, 407, 882, 297
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 174, 660, 407, 882, 297 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 174, 660, 407, 882, 297. So, keep reading to learn more.
Given numbers are 174,660,407,882,297
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 174,660,407,882,297 is 312307380.
Find LCM of 174,660,407,882,297 with Prime Factorization
| 2 | 174, 660, 407, 882, 297 |
| 3 | 87, 330, 407, 441, 297 |
| 3 | 29, 110, 407, 147, 99 |
| 11 | 29, 110, 407, 49, 33 |
| 29, 10, 37, 49, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 29 x 10 x 37 x 49 x 3 = 312307380
Therefore, the lowest common multiple of 174,660,407,882,297 is 312307380.
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.
174 x 660 x 407 x 882 x 297 = 12243698525520
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.
174 : 1, 2, 3, 6, 29, 58, 87, 174
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
407 : 1, 11, 37, 407
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
297 : 1, 3, 9, 11, 27, 33, 99, 297
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 174,660,407,882,297, is 1.
Now, the common factors can be found like this.
174:2x 3x 29
660:2x 2x 3x 5x 11
407:11x 37
882:2x 3x 3x 7x 7
297:3x 3x 3x 11
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 3x 3x 3x 3x 11x 11 = 39204
Therefore, the value for common factors is 39204.
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 = 12243698525520/(1x39204)
LCM = 12243698525520/39204
LCM = 312307380
Thus, we can understand that the LCM of 174,660,407,882,297 is 312307380.
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FAQs on LCM of 174, 660, 407, 882, 297
1. What is the LCM of 174, 660, 407, 882, 297?
Answer: LCM of 174, 660, 407, 882, 297 is 312307380.
2. How to calculate the LCM of 174, 660, 407, 882, 297?
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 174, 660, 407, 882, 297.
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}.