LCM of 524, 584, 848, 240, 198
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 524, 584, 848, 240, 198 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, 584, 848, 240, 198. So, keep reading to learn more.
Given numbers are 524,584,848,240,198
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 524,584,848,240,198 is 4014164880.
Find LCM of 524,584,848,240,198 with Prime Factorization
| 2 | 524, 584, 848, 240, 198 |
| 2 | 262, 292, 424, 120, 99 |
| 2 | 131, 146, 212, 60, 99 |
| 2 | 131, 73, 106, 30, 99 |
| 3 | 131, 73, 53, 15, 99 |
| 131, 73, 53, 5, 33 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 131 x 73 x 53 x 5 x 33 = 4014164880
Therefore, the lowest common multiple of 524,584,848,240,198 is 4014164880.
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 584 x 848 x 240 x 198 = 12331514511360
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
584 : 1, 2, 4, 8, 73, 146, 292, 584
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,584,848,240,198, is 2.
Now, the common factors can be found like this.
524:2x 2x 131
584:2x 2x 2x 73
848:2x 2x 2x 2x 53
240:2x 2x 2x 2x 3x 5
198:2x 3x 3x 11
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 2x 2x 2x 2x 2x 2x 3 = 1536
Therefore, the value for common factors is 1536.
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 = 12331514511360/(2x1536)
LCM = 12331514511360/3072
LCM = 4014164880
Thus, we can understand that the LCM of 524,584,848,240,198 is 4014164880.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 524, 584, 848, 240, 198
1. What is the LCM of 524, 584, 848, 240, 198?
Answer: LCM of 524, 584, 848, 240, 198 is 4014164880.
2. How to calculate the LCM of 524, 584, 848, 240, 198?
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, 584, 848, 240, 198.
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}.