LCM of 524, 427, 707, 559, 430
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 524, 427, 707, 559, 430 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, 427, 707, 559, 430. So, keep reading to learn more.
Given numbers are 524,427,707,559,430
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 524,427,707,559,430 is 63162941660.
Find LCM of 524,427,707,559,430 with Prime Factorization
| 2 | 524, 427, 707, 559, 430 |
| 7 | 262, 427, 707, 559, 215 |
| 43 | 262, 61, 101, 559, 215 |
| 262, 61, 101, 13, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 43 x 262 x 61 x 101 x 13 x 5 = 63162941660
Therefore, the lowest common multiple of 524,427,707,559,430 is 63162941660.
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 427 x 707 x 559 x 430 = 38024090879320
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
427 : 1, 7, 61, 427
707 : 1, 7, 101, 707
559 : 1, 13, 43, 559
430 : 1, 2, 5, 10, 43, 86, 215, 430
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,427,707,559,430, is 1.
Now, the common factors can be found like this.
524:2x 2x 131
427:7x 61
707:7x 101
559:13x 43
430:2x 5x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 43 = 602
Therefore, the value for common factors is 602.
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 = 38024090879320/(1x602)
LCM = 38024090879320/602
LCM = 63162941660
Thus, we can understand that the LCM of 524,427,707,559,430 is 63162941660.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 524, 427, 707, 559, 430
1. What is the LCM of 524, 427, 707, 559, 430?
Answer: LCM of 524, 427, 707, 559, 430 is 63162941660.
2. How to calculate the LCM of 524, 427, 707, 559, 430?
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, 427, 707, 559, 430.
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}.