LCM of 524, 390, 754, 832
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 524, 390, 754, 832 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, 390, 754, 832. So, keep reading to learn more.
Given numbers are 524,390,754,832
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 524,390,754,832 is 47411520.
Find LCM of 524,390,754,832 with Prime Factorization
| 2 | 524, 390, 754, 832 |
| 2 | 262, 195, 377, 416 |
| 13 | 131, 195, 377, 208 |
| 131, 15, 29, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 131 x 15 x 29 x 16 = 47411520
Therefore, the lowest common multiple of 524,390,754,832 is 47411520.
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 390 x 754 x 832 = 128200750080
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
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
754 : 1, 2, 13, 26, 29, 58, 377, 754
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,390,754,832, is 2.
Now, the common factors can be found like this.
524:2x 2x 131
390:2x 3x 5x 13
754:2x 13x 29
832:2x 2x 2x 2x 2x 2x 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 2x 13x 13 = 1352
Therefore, the value for common factors is 1352.
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 = 128200750080/(2x1352)
LCM = 128200750080/2704
LCM = 47411520
Thus, we can understand that the LCM of 524,390,754,832 is 47411520.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 524, 390, 754, 832
1. What is the LCM of 524, 390, 754, 832?
Answer: LCM of 524, 390, 754, 832 is 47411520.
2. How to calculate the LCM of 524, 390, 754, 832?
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, 390, 754, 832.
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}.