LCM of 604, 286, 690, 345, 403
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 604, 286, 690, 345, 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 604, 286, 690, 345, 403. So, keep reading to learn more.
Given numbers are 604,286,690,345,403
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 604,286,690,345,403 is 923748540.
Find LCM of 604,286,690,345,403 with Prime Factorization
| 2 | 604, 286, 690, 345, 403 |
| 3 | 302, 143, 345, 345, 403 |
| 5 | 302, 143, 115, 115, 403 |
| 13 | 302, 143, 23, 23, 403 |
| 23 | 302, 11, 23, 23, 31 |
| 302, 11, 1, 1, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 23 x 302 x 11 x 1 x 1 x 31 = 923748540
Therefore, the lowest common multiple of 604,286,690,345,403 is 923748540.
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.
604 x 286 x 690 x 345 x 403 = 16572048807600
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.
604 : 1, 2, 4, 151, 302, 604
286 : 1, 2, 11, 13, 22, 26, 143, 286
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
345 : 1, 3, 5, 15, 23, 69, 115, 345
403 : 1, 13, 31, 403
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 604,286,690,345,403, is 1.
Now, the common factors can be found like this.
604:2x 2x 151
286:2x 11x 13
690:2x 3x 5x 23
345:3x 5x 23
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 3x 5x 13x 23 = 17940
Therefore, the value for common factors is 17940.
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 = 16572048807600/(1x17940)
LCM = 16572048807600/17940
LCM = 923748540
Thus, we can understand that the LCM of 604,286,690,345,403 is 923748540.
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FAQs on LCM of 604, 286, 690, 345, 403
1. What is the LCM of 604, 286, 690, 345, 403?
Answer: LCM of 604, 286, 690, 345, 403 is 923748540.
2. How to calculate the LCM of 604, 286, 690, 345, 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 604, 286, 690, 345, 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}.