LCM of 247, 555, 420, 786, 926
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 247, 555, 420, 786, 926 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 247, 555, 420, 786, 926. So, keep reading to learn more.
Given numbers are 247,555,420,786,926
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 247,555,420,786,926 is 232809262140.
Find LCM of 247,555,420,786,926 with Prime Factorization
| 2 | 247, 555, 420, 786, 926 |
| 3 | 247, 555, 210, 393, 463 |
| 5 | 247, 185, 70, 131, 463 |
| 247, 37, 14, 131, 463 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 247 x 37 x 14 x 131 x 463 = 232809262140
Therefore, the lowest common multiple of 247,555,420,786,926 is 232809262140.
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.
247 x 555 x 420 x 786 x 926 = 41905667185200
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.
247 : 1, 13, 19, 247
555 : 1, 3, 5, 15, 37, 111, 185, 555
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
786 : 1, 2, 3, 6, 131, 262, 393, 786
926 : 1, 2, 463, 926
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,555,420,786,926, is 1.
Now, the common factors can be found like this.
247:13x 19
555:3x 5x 37
420:2x 2x 3x 5x 7
786:2x 3x 131
926:2x 463
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 3x 3x 5 = 180
Therefore, the value for common factors is 180.
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 = 41905667185200/(1x180)
LCM = 41905667185200/180
LCM = 232809262140
Thus, we can understand that the LCM of 247,555,420,786,926 is 232809262140.
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FAQs on LCM of 247, 555, 420, 786, 926
1. What is the LCM of 247, 555, 420, 786, 926?
Answer: LCM of 247, 555, 420, 786, 926 is 232809262140.
2. How to calculate the LCM of 247, 555, 420, 786, 926?
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 247, 555, 420, 786, 926.
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}.