Find the LCM of 535, 485, 749, 515, 248 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 535, 485, 749, 515, 248. So, keep reading to learn more.
Given numbers are 535,485,749,515,248
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 535,485,749,515,248 is 9279241160.
Find LCM of 535,485,749,515,248 with Prime Factorization
5 | 535, 485, 749, 515, 248 |
107 | 107, 97, 749, 103, 248 |
1, 97, 7, 103, 248 |
Multiply the prime numbers at the bottom and the left side.
5 x 107 x 1 x 97 x 7 x 103 x 248 = 9279241160
Therefore, the lowest common multiple of 535,485,749,515,248 is 9279241160.
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.
535 x 485 x 749 x 515 x 248 = 24821970103000
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.
535 : 1, 5, 107, 535
485 : 1, 5, 97, 485
749 : 1, 7, 107, 749
515 : 1, 5, 103, 515
248 : 1, 2, 4, 8, 31, 62, 124, 248
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,485,749,515,248, is 1.
Now, the common factors can be found like this.
535:5x 107
485:5x 97
749:7x 107
515:5x 103
248:2x 2x 2x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 107 = 2675
Therefore, the value for common factors is 2675.
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 = 24821970103000/(1x2675)
LCM = 24821970103000/2675
LCM = 9279241160
Thus, we can understand that the LCM of 535,485,749,515,248 is 9279241160.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 535, 485, 749, 515, 248?
Answer: LCM of 535, 485, 749, 515, 248 is 9279241160.
2. How to calculate the LCM of 535, 485, 749, 515, 248?
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 535, 485, 749, 515, 248.
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}.