LCM of 736, 529, 527, 329, 282
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 736, 529, 527, 329, 282 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 736, 529, 527, 329, 282. So, keep reading to learn more.
Given numbers are 736,529,527,329,282
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 736,529,527,329,282 is 8805082272.
Find LCM of 736,529,527,329,282 with Prime Factorization
| 2 | 736, 529, 527, 329, 282 |
| 23 | 368, 529, 527, 329, 141 |
| 47 | 16, 23, 527, 329, 141 |
| 16, 23, 527, 7, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 47 x 16 x 23 x 527 x 7 x 3 = 8805082272
Therefore, the lowest common multiple of 736,529,527,329,282 is 8805082272.
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.
736 x 529 x 527 x 329 x 282 = 19036587872064
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.
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
529 : 1, 23, 529
527 : 1, 17, 31, 527
329 : 1, 7, 47, 329
282 : 1, 2, 3, 6, 47, 94, 141, 282
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,529,527,329,282, is 1.
Now, the common factors can be found like this.
736:2x 2x 2x 2x 2x 23
529:23x 23
527:17x 31
329:7x 47
282:2x 3x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 23x 47 = 2162
Therefore, the value for common factors is 2162.
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 = 19036587872064/(1x2162)
LCM = 19036587872064/2162
LCM = 8805082272
Thus, we can understand that the LCM of 736,529,527,329,282 is 8805082272.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 736, 529, 527, 329, 282
1. What is the LCM of 736, 529, 527, 329, 282?
Answer: LCM of 736, 529, 527, 329, 282 is 8805082272.
2. How to calculate the LCM of 736, 529, 527, 329, 282?
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 736, 529, 527, 329, 282.
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}.