LCM of 780, 391, 749, 437, 550
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 780, 391, 749, 437, 550 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, 391, 749, 437, 550. So, keep reading to learn more.
Given numbers are 780,391,749,437,550
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 780,391,749,437,550 is 238709370900.
Find LCM of 780,391,749,437,550 with Prime Factorization
| 2 | 780, 391, 749, 437, 550 |
| 5 | 390, 391, 749, 437, 275 |
| 23 | 78, 391, 749, 437, 55 |
| 78, 17, 749, 19, 55 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 23 x 78 x 17 x 749 x 19 x 55 = 238709370900
Therefore, the lowest common multiple of 780,391,749,437,550 is 238709370900.
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 391 x 749 x 437 x 550 = 54903155307000
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
391 : 1, 17, 23, 391
749 : 1, 7, 107, 749
437 : 1, 19, 23, 437
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,391,749,437,550, is 1.
Now, the common factors can be found like this.
780:2x 2x 3x 5x 13
391:17x 23
749:7x 107
437:19x 23
550:2x 5x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 23 = 230
Therefore, the value for common factors is 230.
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 = 54903155307000/(1x230)
LCM = 54903155307000/230
LCM = 238709370900
Thus, we can understand that the LCM of 780,391,749,437,550 is 238709370900.
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FAQs on LCM of 780, 391, 749, 437, 550
1. What is the LCM of 780, 391, 749, 437, 550?
Answer: LCM of 780, 391, 749, 437, 550 is 238709370900.
2. How to calculate the LCM of 780, 391, 749, 437, 550?
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, 391, 749, 437, 550.
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}.