LCM of 238, 258, 860, 523, 768
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 238, 258, 860, 523, 768 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 238, 258, 860, 523, 768. So, keep reading to learn more.
Given numbers are 238,258,860,523,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 238,258,860,523,768 is 10276573440.
Find LCM of 238,258,860,523,768 with Prime Factorization
| 2 | 238, 258, 860, 523, 768 |
| 2 | 119, 129, 430, 523, 384 |
| 3 | 119, 129, 215, 523, 192 |
| 43 | 119, 43, 215, 523, 64 |
| 119, 1, 5, 523, 64 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 43 x 119 x 1 x 5 x 523 x 64 = 10276573440
Therefore, the lowest common multiple of 238,258,860,523,768 is 10276573440.
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.
238 x 258 x 860 x 523 x 768 = 21210847580160
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.
238 : 1, 2, 7, 14, 17, 34, 119, 238
258 : 1, 2, 3, 6, 43, 86, 129, 258
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
523 : 1, 523
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 238,258,860,523,768, is 1.
Now, the common factors can be found like this.
238:2x 7x 17
258:2x 3x 43
860:2x 2x 5x 43
523:523
768:2x 2x 2x 2x 2x 2x 2x 2x 3
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 2x 3x 43 = 2064
Therefore, the value for common factors is 2064.
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 = 21210847580160/(1x2064)
LCM = 21210847580160/2064
LCM = 10276573440
Thus, we can understand that the LCM of 238,258,860,523,768 is 10276573440.
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FAQs on LCM of 238, 258, 860, 523, 768
1. What is the LCM of 238, 258, 860, 523, 768?
Answer: LCM of 238, 258, 860, 523, 768 is 10276573440.
2. How to calculate the LCM of 238, 258, 860, 523, 768?
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 238, 258, 860, 523, 768.
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}.