LCM of 403, 966, 966, 563, 637
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 403, 966, 966, 563, 637 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, 966, 966, 563, 637. So, keep reading to learn more.
Given numbers are 403,966,966,563,637
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 403,966,966,563,637 is 1534223418.
Find LCM of 403,966,966,563,637 with Prime Factorization
| 2 | 403, 966, 966, 563, 637 |
| 3 | 403, 483, 483, 563, 637 |
| 7 | 403, 161, 161, 563, 637 |
| 13 | 403, 23, 23, 563, 91 |
| 23 | 31, 23, 23, 563, 7 |
| 31, 1, 1, 563, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 23 x 31 x 1 x 1 x 563 x 7 = 1534223418
Therefore, the lowest common multiple of 403,966,966,563,637 is 1534223418.
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 966 x 966 x 563 x 637 = 134867443782708
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
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
563 : 1, 563
637 : 1, 7, 13, 49, 91, 637
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,966,966,563,637, is 1.
Now, the common factors can be found like this.
403:13x 31
966:2x 3x 7x 23
966:2x 3x 7x 23
563:563
637:7x 7x 13
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 7x 7x 13x 23 = 87906
Therefore, the value for common factors is 87906.
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 = 134867443782708/(1x87906)
LCM = 134867443782708/87906
LCM = 1534223418
Thus, we can understand that the LCM of 403,966,966,563,637 is 1534223418.
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FAQs on LCM of 403, 966, 966, 563, 637
1. What is the LCM of 403, 966, 966, 563, 637?
Answer: LCM of 403, 966, 966, 563, 637 is 1534223418.
2. How to calculate the LCM of 403, 966, 966, 563, 637?
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, 966, 966, 563, 637.
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}.