LCM of 524, 973, 238, 487, 130
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 524, 973, 238, 487, 130 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 524, 973, 238, 487, 130. So, keep reading to learn more.
Given numbers are 524,973,238,487,130
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 524,973,238,487,130 is 274369206020.
Find LCM of 524,973,238,487,130 with Prime Factorization
| 2 | 524, 973, 238, 487, 130 |
| 7 | 262, 973, 119, 487, 65 |
| 262, 139, 17, 487, 65 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 262 x 139 x 17 x 487 x 65 = 274369206020
Therefore, the lowest common multiple of 524,973,238,487,130 is 274369206020.
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.
524 x 973 x 238 x 487 x 130 = 7682337768560
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.
524 : 1, 2, 4, 131, 262, 524
973 : 1, 7, 139, 973
238 : 1, 2, 7, 14, 17, 34, 119, 238
487 : 1, 487
130 : 1, 2, 5, 10, 13, 26, 65, 130
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,973,238,487,130, is 1.
Now, the common factors can be found like this.
524:2x 2x 131
973:7x 139
238:2x 7x 17
487:487
130:2x 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 7 = 28
Therefore, the value for common factors is 28.
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 = 7682337768560/(1x28)
LCM = 7682337768560/28
LCM = 274369206020
Thus, we can understand that the LCM of 524,973,238,487,130 is 274369206020.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 524, 973, 238, 487, 130
1. What is the LCM of 524, 973, 238, 487, 130?
Answer: LCM of 524, 973, 238, 487, 130 is 274369206020.
2. How to calculate the LCM of 524, 973, 238, 487, 130?
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 524, 973, 238, 487, 130.
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}.