LCM of 526, 299, 750, 230
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 526, 299, 750, 230 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 526, 299, 750, 230. So, keep reading to learn more.
Given numbers are 526,299,750,230
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 526,299,750,230 is 58977750.
Find LCM of 526,299,750,230 with Prime Factorization
| 2 | 526, 299, 750, 230 |
| 5 | 263, 299, 375, 115 |
| 23 | 263, 299, 75, 23 |
| 263, 13, 75, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 23 x 263 x 13 x 75 x 1 = 58977750
Therefore, the lowest common multiple of 526,299,750,230 is 58977750.
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.
526 x 299 x 750 x 230 = 27129765000
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.
526 : 1, 2, 263, 526
299 : 1, 13, 23, 299
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
230 : 1, 2, 5, 10, 23, 46, 115, 230
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 526,299,750,230, is 1.
Now, the common factors can be found like this.
526:2x 263
299:13x 23
750:2x 3x 5x 5x 5
230:2x 5x 23
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 5x 23 = 460
Therefore, the value for common factors is 460.
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 = 27129765000/(1x460)
LCM = 27129765000/460
LCM = 58977750
Thus, we can understand that the LCM of 526,299,750,230 is 58977750.
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FAQs on LCM of 526, 299, 750, 230
1. What is the LCM of 526, 299, 750, 230?
Answer: LCM of 526, 299, 750, 230 is 58977750.
2. How to calculate the LCM of 526, 299, 750, 230?
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 526, 299, 750, 230.
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}.