Find the LCM of 107, 535, 282, 287 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 107, 535, 282, 287. So, keep reading to learn more.
Given numbers are 107,535,282,287
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 107,535,282,287 is 43299690.
Find LCM of 107,535,282,287 with Prime Factorization
107 | 107, 535, 282, 287 |
1, 5, 282, 287 |
Multiply the prime numbers at the bottom and the left side.
107 x 1 x 5 x 282 x 287 = 43299690
Therefore, the lowest common multiple of 107,535,282,287 is 43299690.
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.
107 x 535 x 282 x 287 = 4633066830
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.
107 : 1, 107
535 : 1, 5, 107, 535
282 : 1, 2, 3, 6, 47, 94, 141, 282
287 : 1, 7, 41, 287
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,535,282,287, is 1.
Now, the common factors can be found like this.
107:107
535:5x 107
282:2x 3x 47
287:7x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
107 = 107
Therefore, the value for common factors is 107.
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 = 4633066830/(1x107)
LCM = 4633066830/107
LCM = 43299690
Thus, we can understand that the LCM of 107,535,282,287 is 43299690.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 107, 535, 282, 287?
Answer: LCM of 107, 535, 282, 287 is 43299690.
2. How to calculate the LCM of 107, 535, 282, 287?
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 107, 535, 282, 287.
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}.