LCM of 780, 814, 423, 987, 537
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 780, 814, 423, 987, 537 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, 814, 423, 987, 537. So, keep reading to learn more.
Given numbers are 780,814,423,987,537
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 780,814,423,987,537 is 56086610580.
Find LCM of 780,814,423,987,537 with Prime Factorization
| 2 | 780, 814, 423, 987, 537 |
| 3 | 390, 407, 423, 987, 537 |
| 47 | 130, 407, 141, 329, 179 |
| 130, 407, 3, 7, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 47 x 130 x 407 x 3 x 7 x 179 = 56086610580
Therefore, the lowest common multiple of 780,814,423,987,537 is 56086610580.
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 814 x 423 x 987 x 537 = 142347817652040
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
814 : 1, 2, 11, 22, 37, 74, 407, 814
423 : 1, 3, 9, 47, 141, 423
987 : 1, 3, 7, 21, 47, 141, 329, 987
537 : 1, 3, 179, 537
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,814,423,987,537, is 1.
Now, the common factors can be found like this.
780:2x 2x 3x 5x 13
814:2x 11x 37
423:3x 3x 47
987:3x 7x 47
537:3x 179
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 47 = 2538
Therefore, the value for common factors is 2538.
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 = 142347817652040/(1x2538)
LCM = 142347817652040/2538
LCM = 56086610580
Thus, we can understand that the LCM of 780,814,423,987,537 is 56086610580.
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FAQs on LCM of 780, 814, 423, 987, 537
1. What is the LCM of 780, 814, 423, 987, 537?
Answer: LCM of 780, 814, 423, 987, 537 is 56086610580.
2. How to calculate the LCM of 780, 814, 423, 987, 537?
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, 814, 423, 987, 537.
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}.