LCM of 926, 570, 646, 326, 381
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 926, 570, 646, 326, 381 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 926, 570, 646, 326, 381. So, keep reading to learn more.
Given numbers are 926,570,646,326,381
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 926,570,646,326,381 is 92874415470.
Find LCM of 926,570,646,326,381 with Prime Factorization
| 2 | 926, 570, 646, 326, 381 |
| 3 | 463, 285, 323, 163, 381 |
| 19 | 463, 95, 323, 163, 127 |
| 463, 5, 17, 163, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 463 x 5 x 17 x 163 x 127 = 92874415470
Therefore, the lowest common multiple of 926,570,646,326,381 is 92874415470.
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.
926 x 570 x 646 x 326 x 381 = 42350733454320
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.
926 : 1, 2, 463, 926
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
646 : 1, 2, 17, 19, 34, 38, 323, 646
326 : 1, 2, 163, 326
381 : 1, 3, 127, 381
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 926,570,646,326,381, is 1.
Now, the common factors can be found like this.
926:2x 463
570:2x 3x 5x 19
646:2x 17x 19
326:2x 163
381:3x 127
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 19 = 456
Therefore, the value for common factors is 456.
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 = 42350733454320/(1x456)
LCM = 42350733454320/456
LCM = 92874415470
Thus, we can understand that the LCM of 926,570,646,326,381 is 92874415470.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 926, 570, 646, 326, 381
1. What is the LCM of 926, 570, 646, 326, 381?
Answer: LCM of 926, 570, 646, 326, 381 is 92874415470.
2. How to calculate the LCM of 926, 570, 646, 326, 381?
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 926, 570, 646, 326, 381.
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}.