LCM of 526, 989, 412, 955, 390
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 526, 989, 412, 955, 390 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, 989, 412, 955, 390. So, keep reading to learn more.
Given numbers are 526,989,412,955,390
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 526,989,412,955,390 is 3991326308580.
Find LCM of 526,989,412,955,390 with Prime Factorization
| 2 | 526, 989, 412, 955, 390 |
| 5 | 263, 989, 206, 955, 195 |
| 263, 989, 206, 191, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 263 x 989 x 206 x 191 x 39 = 3991326308580
Therefore, the lowest common multiple of 526,989,412,955,390 is 3991326308580.
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 989 x 412 x 955 x 390 = 79826526171600
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
989 : 1, 23, 43, 989
412 : 1, 2, 4, 103, 206, 412
955 : 1, 5, 191, 955
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 526,989,412,955,390, is 1.
Now, the common factors can be found like this.
526:2x 263
989:23x 43
412:2x 2x 103
955:5x 191
390:2x 3x 5x 13
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 5 = 20
Therefore, the value for common factors is 20.
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 = 79826526171600/(1x20)
LCM = 79826526171600/20
LCM = 3991326308580
Thus, we can understand that the LCM of 526,989,412,955,390 is 3991326308580.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 526, 989, 412, 955, 390
1. What is the LCM of 526, 989, 412, 955, 390?
Answer: LCM of 526, 989, 412, 955, 390 is 3991326308580.
2. How to calculate the LCM of 526, 989, 412, 955, 390?
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, 989, 412, 955, 390.
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}.