LCM of 479, 990, 169, 660, 357
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 479, 990, 169, 660, 357 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 479, 990, 169, 660, 357. So, keep reading to learn more.
Given numbers are 479,990,169,660,357
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 479,990,169,660,357 is 19073674620.
Find LCM of 479,990,169,660,357 with Prime Factorization
| 2 | 479, 990, 169, 660, 357 |
| 3 | 479, 495, 169, 330, 357 |
| 5 | 479, 165, 169, 110, 119 |
| 11 | 479, 33, 169, 22, 119 |
| 479, 3, 169, 2, 119 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 479 x 3 x 169 x 2 x 119 = 19073674620
Therefore, the lowest common multiple of 479,990,169,660,357 is 19073674620.
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.
479 x 990 x 169 x 660 x 357 = 18882937873800
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.
479 : 1, 479
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
169 : 1, 13, 169
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
357 : 1, 3, 7, 17, 21, 51, 119, 357
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 479,990,169,660,357, is 1.
Now, the common factors can be found like this.
479:479
990:2x 3x 3x 5x 11
169:13x 13
660:2x 2x 3x 5x 11
357:3x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 11 = 990
Therefore, the value for common factors is 990.
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 = 18882937873800/(1x990)
LCM = 18882937873800/990
LCM = 19073674620
Thus, we can understand that the LCM of 479,990,169,660,357 is 19073674620.
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FAQs on LCM of 479, 990, 169, 660, 357
1. What is the LCM of 479, 990, 169, 660, 357?
Answer: LCM of 479, 990, 169, 660, 357 is 19073674620.
2. How to calculate the LCM of 479, 990, 169, 660, 357?
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 479, 990, 169, 660, 357.
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}.