LCM of 170, 748, 498, 319, 568
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 170, 748, 498, 319, 568 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 170, 748, 498, 319, 568. So, keep reading to learn more.
Given numbers are 170,748,498,319,568
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 170,748,498,319,568 is 3834928680.
Find LCM of 170,748,498,319,568 with Prime Factorization
| 2 | 170, 748, 498, 319, 568 |
| 2 | 85, 374, 249, 319, 284 |
| 11 | 85, 187, 249, 319, 142 |
| 17 | 85, 17, 249, 29, 142 |
| 5, 1, 249, 29, 142 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 17 x 5 x 1 x 249 x 29 x 142 = 3834928680
Therefore, the lowest common multiple of 170,748,498,319,568 is 3834928680.
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.
170 x 748 x 498 x 319 x 568 = 11474106610560
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.
170 : 1, 2, 5, 10, 17, 34, 85, 170
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
498 : 1, 2, 3, 6, 83, 166, 249, 498
319 : 1, 11, 29, 319
568 : 1, 2, 4, 8, 71, 142, 284, 568
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 170,748,498,319,568, is 1.
Now, the common factors can be found like this.
170:2x 5x 17
748:2x 2x 11x 17
498:2x 3x 83
319:11x 29
568:2x 2x 2x 71
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 11x 17 = 2992
Therefore, the value for common factors is 2992.
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 = 11474106610560/(1x2992)
LCM = 11474106610560/2992
LCM = 3834928680
Thus, we can understand that the LCM of 170,748,498,319,568 is 3834928680.
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FAQs on LCM of 170, 748, 498, 319, 568
1. What is the LCM of 170, 748, 498, 319, 568?
Answer: LCM of 170, 748, 498, 319, 568 is 3834928680.
2. How to calculate the LCM of 170, 748, 498, 319, 568?
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 170, 748, 498, 319, 568.
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}.