LCM of 146, 110, 780, 926, 926
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 146, 110, 780, 926, 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 146, 110, 780, 926, 926. So, keep reading to learn more.
Given numbers are 146,110,780,926,926
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 146,110,780,926,926 is 289995420.
Find LCM of 146,110,780,926,926 with Prime Factorization
| 2 | 146, 110, 780, 926, 926 |
| 5 | 73, 55, 390, 463, 463 |
| 463 | 73, 11, 78, 463, 463 |
| 73, 11, 78, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 463 x 73 x 11 x 78 x 1 x 1 = 289995420
Therefore, the lowest common multiple of 146,110,780,926,926 is 289995420.
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.
146 x 110 x 780 x 926 x 926 = 10741430356800
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.
146 : 1, 2, 73, 146
110 : 1, 2, 5, 10, 11, 22, 55, 110
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
926 : 1, 2, 463, 926
926 : 1, 2, 463, 926
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 146,110,780,926,926, is 2.
Now, the common factors can be found like this.
146:2x 73
110:2x 5x 11
780:2x 2x 3x 5x 13
926:2x 463
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 2x 5x 463 = 18520
Therefore, the value for common factors is 18520.
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 = 10741430356800/(2x18520)
LCM = 10741430356800/37040
LCM = 289995420
Thus, we can understand that the LCM of 146,110,780,926,926 is 289995420.
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FAQs on LCM of 146, 110, 780, 926, 926
1. What is the LCM of 146, 110, 780, 926, 926?
Answer: LCM of 146, 110, 780, 926, 926 is 289995420.
2. How to calculate the LCM of 146, 110, 780, 926, 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 146, 110, 780, 926, 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}.