LCM of 459, 262, 618, 319, 524
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 459, 262, 618, 319, 524 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 459, 262, 618, 319, 524. So, keep reading to learn more.
Given numbers are 459,262,618,319,524
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 459,262,618,319,524 is 7902634212.
Find LCM of 459,262,618,319,524 with Prime Factorization
| 2 | 459, 262, 618, 319, 524 |
| 3 | 459, 131, 309, 319, 262 |
| 131 | 153, 131, 103, 319, 262 |
| 153, 1, 103, 319, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 131 x 153 x 1 x 103 x 319 x 2 = 7902634212
Therefore, the lowest common multiple of 459,262,618,319,524 is 7902634212.
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.
459 x 262 x 618 x 319 x 524 = 12422940981264
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.
459 : 1, 3, 9, 17, 27, 51, 153, 459
262 : 1, 2, 131, 262
618 : 1, 2, 3, 6, 103, 206, 309, 618
319 : 1, 11, 29, 319
524 : 1, 2, 4, 131, 262, 524
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,262,618,319,524, is 1.
Now, the common factors can be found like this.
459:3x 3x 3x 17
262:2x 131
618:2x 3x 103
319:11x 29
524:2x 2x 131
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 3x 131 = 1572
Therefore, the value for common factors is 1572.
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 = 12422940981264/(1x1572)
LCM = 12422940981264/1572
LCM = 7902634212
Thus, we can understand that the LCM of 459,262,618,319,524 is 7902634212.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 459, 262, 618, 319, 524
1. What is the LCM of 459, 262, 618, 319, 524?
Answer: LCM of 459, 262, 618, 319, 524 is 7902634212.
2. How to calculate the LCM of 459, 262, 618, 319, 524?
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 459, 262, 618, 319, 524.
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}.