Find the LCM of 403, 473, 672, 903, 597 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, 473, 672, 903, 597. So, keep reading to learn more.
Given numbers are 403,473,672,903,597
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 403,473,672,903,597 is 25491097632.
Find LCM of 403,473,672,903,597 with Prime Factorization
3 | 403, 473, 672, 903, 597 |
7 | 403, 473, 224, 301, 199 |
43 | 403, 473, 32, 43, 199 |
403, 11, 32, 1, 199 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 43 x 403 x 11 x 32 x 1 x 199 = 25491097632
Therefore, the lowest common multiple of 403,473,672,903,597 is 25491097632.
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 473 x 672 x 903 x 597 = 69055383485088
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
473 : 1, 11, 43, 473
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
903 : 1, 3, 7, 21, 43, 129, 301, 903
597 : 1, 3, 199, 597
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,473,672,903,597, is 1.
Now, the common factors can be found like this.
403:13x 31
473:11x 43
672:2x 2x 2x 2x 2x 3x 7
903:3x 7x 43
597:3x 199
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 7x 43 = 2709
Therefore, the value for common factors is 2709.
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 = 69055383485088/(1x2709)
LCM = 69055383485088/2709
LCM = 25491097632
Thus, we can understand that the LCM of 403,473,672,903,597 is 25491097632.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 403, 473, 672, 903, 597?
Answer: LCM of 403, 473, 672, 903, 597 is 25491097632.
2. How to calculate the LCM of 403, 473, 672, 903, 597?
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, 473, 672, 903, 597.
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}.