LCM of 403, 124, 407, 693
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 403, 124, 407, 693 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, 124, 407, 693. So, keep reading to learn more.
Given numbers are 403,124,407,693
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 403,124,407,693 is 41333292.
Find LCM of 403,124,407,693 with Prime Factorization
| 11 | 403, 124, 407, 693 |
| 31 | 403, 124, 37, 63 |
| 13, 4, 37, 63 |
Multiply the prime numbers at the bottom and the left side.
11 x 31 x 13 x 4 x 37 x 63 = 41333292
Therefore, the lowest common multiple of 403,124,407,693 is 41333292.
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 124 x 407 x 693 = 14094652572
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
124 : 1, 2, 4, 31, 62, 124
407 : 1, 11, 37, 407
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,124,407,693, is 1.
Now, the common factors can be found like this.
403:13x 31
124:2x 2x 31
407:11x 37
693:3x 3x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 31 = 341
Therefore, the value for common factors is 341.
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 = 14094652572/(1x341)
LCM = 14094652572/341
LCM = 41333292
Thus, we can understand that the LCM of 403,124,407,693 is 41333292.
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FAQs on LCM of 403, 124, 407, 693
1. What is the LCM of 403, 124, 407, 693?
Answer: LCM of 403, 124, 407, 693 is 41333292.
2. How to calculate the LCM of 403, 124, 407, 693?
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, 124, 407, 693.
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}.