Find the LCM of 935, 524, 319, 882, 756 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 935, 524, 319, 882, 756. So, keep reading to learn more.
Given numbers are 935,524,319,882,756
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 935,524,319,882,756 is 18797527980.
Find LCM of 935,524,319,882,756 with Prime Factorization
2 | 935, 524, 319, 882, 756 |
2 | 935, 262, 319, 441, 378 |
3 | 935, 131, 319, 441, 189 |
3 | 935, 131, 319, 147, 63 |
7 | 935, 131, 319, 49, 21 |
11 | 935, 131, 319, 7, 3 |
85, 131, 29, 7, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 11 x 85 x 131 x 29 x 7 x 3 = 18797527980
Therefore, the lowest common multiple of 935,524,319,882,756 is 18797527980.
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.
935 x 524 x 319 x 882 x 756 = 104213495121120
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.
935 : 1, 5, 11, 17, 55, 85, 187, 935
524 : 1, 2, 4, 131, 262, 524
319 : 1, 11, 29, 319
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 935,524,319,882,756, is 1.
Now, the common factors can be found like this.
935:5x 11x 17
524:2x 2x 131
319:11x 29
882:2x 3x 3x 7x 7
756:2x 2x 3x 3x 3x 7
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 2x 3x 3x 7x 11 = 5544
Therefore, the value for common factors is 5544.
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 = 104213495121120/(1x5544)
LCM = 104213495121120/5544
LCM = 18797527980
Thus, we can understand that the LCM of 935,524,319,882,756 is 18797527980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 935, 524, 319, 882, 756?
Answer: LCM of 935, 524, 319, 882, 756 is 18797527980.
2. How to calculate the LCM of 935, 524, 319, 882, 756?
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 935, 524, 319, 882, 756.
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}.