LCM of 403, 497, 589, 966, 490
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 403, 497, 589, 966, 490 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 403, 497, 589, 966, 490. So, keep reading to learn more.
Given numbers are 403,497,589,966,490
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 403,497,589,966,490 is 18380705070.
Find LCM of 403,497,589,966,490 with Prime Factorization
| 2 | 403, 497, 589, 966, 490 |
| 7 | 403, 497, 589, 483, 245 |
| 31 | 403, 71, 589, 69, 35 |
| 13, 71, 19, 69, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 31 x 13 x 71 x 19 x 69 x 35 = 18380705070
Therefore, the lowest common multiple of 403,497,589,966,490 is 18380705070.
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.
403 x 497 x 589 x 966 x 490 = 55840582002660
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.
403 : 1, 13, 31, 403
497 : 1, 7, 71, 497
589 : 1, 19, 31, 589
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,497,589,966,490, is 1.
Now, the common factors can be found like this.
403:13x 31
497:7x 71
589:19x 31
966:2x 3x 7x 23
490:2x 5x 7x 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 7x 31 = 3038
Therefore, the value for common factors is 3038.
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 = 55840582002660/(1x3038)
LCM = 55840582002660/3038
LCM = 18380705070
Thus, we can understand that the LCM of 403,497,589,966,490 is 18380705070.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 403, 497, 589, 966, 490
1. What is the LCM of 403, 497, 589, 966, 490?
Answer: LCM of 403, 497, 589, 966, 490 is 18380705070.
2. How to calculate the LCM of 403, 497, 589, 966, 490?
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 403, 497, 589, 966, 490.
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}.