LCM of 234, 926, 470, 372, 423
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 234, 926, 470, 372, 423 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 234, 926, 470, 372, 423. So, keep reading to learn more.
Given numbers are 234,926,470,372,423
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 234,926,470,372,423 is 1578542940.
Find LCM of 234,926,470,372,423 with Prime Factorization
| 2 | 234, 926, 470, 372, 423 |
| 3 | 117, 463, 235, 186, 423 |
| 3 | 39, 463, 235, 62, 141 |
| 47 | 13, 463, 235, 62, 47 |
| 13, 463, 5, 62, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 47 x 13 x 463 x 5 x 62 x 1 = 1578542940
Therefore, the lowest common multiple of 234,926,470,372,423 is 1578542940.
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.
234 x 926 x 470 x 372 x 423 = 16025367926880
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.
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
926 : 1, 2, 463, 926
470 : 1, 2, 5, 10, 47, 94, 235, 470
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
423 : 1, 3, 9, 47, 141, 423
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,926,470,372,423, is 1.
Now, the common factors can be found like this.
234:2x 3x 3x 13
926:2x 463
470:2x 5x 47
372:2x 2x 3x 31
423:3x 3x 47
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 3x 3x 47 = 10152
Therefore, the value for common factors is 10152.
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 = 16025367926880/(1x10152)
LCM = 16025367926880/10152
LCM = 1578542940
Thus, we can understand that the LCM of 234,926,470,372,423 is 1578542940.
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FAQs on LCM of 234, 926, 470, 372, 423
1. What is the LCM of 234, 926, 470, 372, 423?
Answer: LCM of 234, 926, 470, 372, 423 is 1578542940.
2. How to calculate the LCM of 234, 926, 470, 372, 423?
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 234, 926, 470, 372, 423.
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}.