LCM of 526, 444, 537, 111
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 526, 444, 537, 111 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, 444, 537, 111. So, keep reading to learn more.
Given numbers are 526,444,537,111
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 526,444,537,111 is 20902188.
Find LCM of 526,444,537,111 with Prime Factorization
| 2 | 526, 444, 537, 111 |
| 3 | 263, 222, 537, 111 |
| 37 | 263, 74, 179, 37 |
| 263, 2, 179, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 37 x 263 x 2 x 179 x 1 = 20902188
Therefore, the lowest common multiple of 526,444,537,111 is 20902188.
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 444 x 537 x 111 = 13920857208
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
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
537 : 1, 3, 179, 537
111 : 1, 3, 37, 111
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 526,444,537,111, is 1.
Now, the common factors can be found like this.
526:2x 263
444:2x 2x 3x 37
537:3x 179
111:3x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 37 = 666
Therefore, the value for common factors is 666.
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 = 13920857208/(1x666)
LCM = 13920857208/666
LCM = 20902188
Thus, we can understand that the LCM of 526,444,537,111 is 20902188.
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FAQs on LCM of 526, 444, 537, 111
1. What is the LCM of 526, 444, 537, 111?
Answer: LCM of 526, 444, 537, 111 is 20902188.
2. How to calculate the LCM of 526, 444, 537, 111?
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, 444, 537, 111.
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}.