LCM of 767, 600, 514, 780
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 767, 600, 514, 780 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 767, 600, 514, 780. So, keep reading to learn more.
Given numbers are 767,600,514,780
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 767,600,514,780 is 118271400.
Find LCM of 767,600,514,780 with Prime Factorization
| 2 | 767, 600, 514, 780 |
| 2 | 767, 300, 257, 390 |
| 3 | 767, 150, 257, 195 |
| 5 | 767, 50, 257, 65 |
| 13 | 767, 10, 257, 13 |
| 59, 10, 257, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 59 x 10 x 257 x 1 = 118271400
Therefore, the lowest common multiple of 767,600,514,780 is 118271400.
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.
767 x 600 x 514 x 780 = 184503384000
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.
767 : 1, 13, 59, 767
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
514 : 1, 2, 257, 514
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,600,514,780, is 1.
Now, the common factors can be found like this.
767:13x 59
600:2x 2x 2x 3x 5x 5
514:2x 257
780:2x 2x 3x 5x 13
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 5x 13 = 1560
Therefore, the value for common factors is 1560.
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 = 184503384000/(1x1560)
LCM = 184503384000/1560
LCM = 118271400
Thus, we can understand that the LCM of 767,600,514,780 is 118271400.
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FAQs on LCM of 767, 600, 514, 780
1. What is the LCM of 767, 600, 514, 780?
Answer: LCM of 767, 600, 514, 780 is 118271400.
2. How to calculate the LCM of 767, 600, 514, 780?
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 767, 600, 514, 780.
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}.