Find the LCM of 355, 637, 749, 933, 933 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 355, 637, 749, 933, 933. So, keep reading to learn more.
Given numbers are 355,637,749,933,933
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 355,637,749,933,933 is 22575283185.
Find LCM of 355,637,749,933,933 with Prime Factorization
3 | 355, 637, 749, 933, 933 |
7 | 355, 637, 749, 311, 311 |
311 | 355, 91, 107, 311, 311 |
355, 91, 107, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 311 x 355 x 91 x 107 x 1 x 1 = 22575283185
Therefore, the lowest common multiple of 355,637,749,933,933 is 22575283185.
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.
355 x 637 x 749 x 933 x 933 = 147439174481235
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.
355 : 1, 5, 71, 355
637 : 1, 7, 13, 49, 91, 637
749 : 1, 7, 107, 749
933 : 1, 3, 311, 933
933 : 1, 3, 311, 933
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 355,637,749,933,933, is 1.
Now, the common factors can be found like this.
355:5x 71
637:7x 7x 13
749:7x 107
933:3x 311
933:3x 311
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 311 = 6531
Therefore, the value for common factors is 6531.
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 = 147439174481235/(1x6531)
LCM = 147439174481235/6531
LCM = 22575283185
Thus, we can understand that the LCM of 355,637,749,933,933 is 22575283185.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 355, 637, 749, 933, 933?
Answer: LCM of 355, 637, 749, 933, 933 is 22575283185.
2. How to calculate the LCM of 355, 637, 749, 933, 933?
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 355, 637, 749, 933, 933.
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}.