Find the LCM of 707, 492, 784, 328, 100 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 707, 492, 784, 328, 100. So, keep reading to learn more.
Given numbers are 707,492,784,328,100
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 707,492,784,328,100 is 243490800.
Find LCM of 707,492,784,328,100 with Prime Factorization
2 | 707, 492, 784, 328, 100 |
2 | 707, 246, 392, 164, 50 |
2 | 707, 123, 196, 82, 25 |
7 | 707, 123, 98, 41, 25 |
41 | 101, 123, 14, 41, 25 |
101, 3, 14, 1, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 41 x 101 x 3 x 14 x 1 x 25 = 243490800
Therefore, the lowest common multiple of 707,492,784,328,100 is 243490800.
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.
707 x 492 x 784 x 328 x 100 = 8944878028800
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.
707 : 1, 7, 101, 707
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
328 : 1, 2, 4, 8, 41, 82, 164, 328
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 707,492,784,328,100, is 1.
Now, the common factors can be found like this.
707:7x 101
492:2x 2x 3x 41
784:2x 2x 2x 2x 7x 7
328:2x 2x 2x 41
100:2x 2x 5x 5
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 2x 2x 2x 2x 7x 41 = 36736
Therefore, the value for common factors is 36736.
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 = 8944878028800/(1x36736)
LCM = 8944878028800/36736
LCM = 243490800
Thus, we can understand that the LCM of 707,492,784,328,100 is 243490800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 707, 492, 784, 328, 100?
Answer: LCM of 707, 492, 784, 328, 100 is 243490800.
2. How to calculate the LCM of 707, 492, 784, 328, 100?
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 707, 492, 784, 328, 100.
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}.