LCM of 780, 600, 648, 695, 240
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 780, 600, 648, 695, 240 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 780, 600, 648, 695, 240. So, keep reading to learn more.
Given numbers are 780,600,648,695,240
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 780,600,648,695,240 is 58546800.
Find LCM of 780,600,648,695,240 with Prime Factorization
| 2 | 780, 600, 648, 695, 240 |
| 2 | 390, 300, 324, 695, 120 |
| 2 | 195, 150, 162, 695, 60 |
| 3 | 195, 75, 81, 695, 30 |
| 5 | 65, 25, 27, 695, 10 |
| 13, 5, 27, 139, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 13 x 5 x 27 x 139 x 2 = 58546800
Therefore, the lowest common multiple of 780,600,648,695,240 is 58546800.
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.
780 x 600 x 648 x 695 x 240 = 50584435200000
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.
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
695 : 1, 5, 139, 695
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,600,648,695,240, is 1.
Now, the common factors can be found like this.
780:2x 2x 3x 5x 13
600:2x 2x 2x 3x 5x 5
648:2x 2x 2x 3x 3x 3x 3
695:5x 139
240:2x 2x 2x 2x 3x 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 2x 3x 3x 3x 5x 5x 5 = 864000
Therefore, the value for common factors is 864000.
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 = 50584435200000/(1x864000)
LCM = 50584435200000/864000
LCM = 58546800
Thus, we can understand that the LCM of 780,600,648,695,240 is 58546800.
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FAQs on LCM of 780, 600, 648, 695, 240
1. What is the LCM of 780, 600, 648, 695, 240?
Answer: LCM of 780, 600, 648, 695, 240 is 58546800.
2. How to calculate the LCM of 780, 600, 648, 695, 240?
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 780, 600, 648, 695, 240.
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}.