LCM of 462, 490, 946, 403
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 462, 490, 946, 403 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 462, 490, 946, 403. So, keep reading to learn more.
Given numbers are 462,490,946,403
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 462,490,946,403 is 280209930.
Find LCM of 462,490,946,403 with Prime Factorization
| 2 | 462, 490, 946, 403 |
| 7 | 231, 245, 473, 403 |
| 11 | 33, 35, 473, 403 |
| 3, 35, 43, 403 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 3 x 35 x 43 x 403 = 280209930
Therefore, the lowest common multiple of 462,490,946,403 is 280209930.
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.
462 x 490 x 946 x 403 = 86304658440
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.
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
946 : 1, 2, 11, 22, 43, 86, 473, 946
403 : 1, 13, 31, 403
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,490,946,403, is 1.
Now, the common factors can be found like this.
462:2x 3x 7x 11
490:2x 5x 7x 7
946:2x 11x 43
403:13x 31
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 7x 11 = 308
Therefore, the value for common factors is 308.
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 = 86304658440/(1x308)
LCM = 86304658440/308
LCM = 280209930
Thus, we can understand that the LCM of 462,490,946,403 is 280209930.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 462, 490, 946, 403
1. What is the LCM of 462, 490, 946, 403?
Answer: LCM of 462, 490, 946, 403 is 280209930.
2. How to calculate the LCM of 462, 490, 946, 403?
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 462, 490, 946, 403.
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}.