Find the LCM of 104, 240, 707, 710, 450 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 104, 240, 707, 710, 450. So, keep reading to learn more.
Given numbers are 104,240,707,710,450
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 104,240,707,710,450 is 2349219600.
Find LCM of 104,240,707,710,450 with Prime Factorization
2 | 104, 240, 707, 710, 450 |
2 | 52, 120, 707, 355, 225 |
2 | 26, 60, 707, 355, 225 |
3 | 13, 30, 707, 355, 225 |
5 | 13, 10, 707, 355, 75 |
13, 2, 707, 71, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 13 x 2 x 707 x 71 x 15 = 2349219600
Therefore, the lowest common multiple of 104,240,707,710,450 is 2349219600.
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.
104 x 240 x 707 x 710 x 450 = 5638127040000
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.
104 : 1, 2, 4, 8, 13, 26, 52, 104
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
707 : 1, 7, 101, 707
710 : 1, 2, 5, 10, 71, 142, 355, 710
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 104,240,707,710,450, is 1.
Now, the common factors can be found like this.
104:2x 2x 2x 13
240:2x 2x 2x 2x 3x 5
707:7x 101
710:2x 5x 71
450:2x 3x 3x 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 3x 5x 5 = 2400
Therefore, the value for common factors is 2400.
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 = 5638127040000/(1x2400)
LCM = 5638127040000/2400
LCM = 2349219600
Thus, we can understand that the LCM of 104,240,707,710,450 is 2349219600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 104, 240, 707, 710, 450?
Answer: LCM of 104, 240, 707, 710, 450 is 2349219600.
2. How to calculate the LCM of 104, 240, 707, 710, 450?
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 104, 240, 707, 710, 450.
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}.