LCM of 659, 494, 546, 247, 175
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 659, 494, 546, 247, 175 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 659, 494, 546, 247, 175. So, keep reading to learn more.
Given numbers are 659,494,546,247,175
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 659,494,546,247,175 is 170911650.
Find LCM of 659,494,546,247,175 with Prime Factorization
| 2 | 659, 494, 546, 247, 175 |
| 7 | 659, 247, 273, 247, 175 |
| 13 | 659, 247, 39, 247, 25 |
| 19 | 659, 19, 3, 19, 25 |
| 659, 1, 3, 1, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 13 x 19 x 659 x 1 x 3 x 1 x 25 = 170911650
Therefore, the lowest common multiple of 659,494,546,247,175 is 170911650.
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.
659 x 494 x 546 x 247 x 175 = 7683162314100
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.
659 : 1, 659
494 : 1, 2, 13, 19, 26, 38, 247, 494
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
247 : 1, 13, 19, 247
175 : 1, 5, 7, 25, 35, 175
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 659,494,546,247,175, is 1.
Now, the common factors can be found like this.
659:659
494:2x 13x 19
546:2x 3x 7x 13
247:13x 19
175:5x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 13x 13x 19 = 44954
Therefore, the value for common factors is 44954.
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 = 7683162314100/(1x44954)
LCM = 7683162314100/44954
LCM = 170911650
Thus, we can understand that the LCM of 659,494,546,247,175 is 170911650.
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FAQs on LCM of 659, 494, 546, 247, 175
1. What is the LCM of 659, 494, 546, 247, 175?
Answer: LCM of 659, 494, 546, 247, 175 is 170911650.
2. How to calculate the LCM of 659, 494, 546, 247, 175?
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 659, 494, 546, 247, 175.
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}.