LCM of 332, 436, 210, 282, 268
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 332, 436, 210, 282, 268 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 332, 436, 210, 282, 268. So, keep reading to learn more.
Given numbers are 332,436,210,282,268
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 332,436,210,282,268 is 11965381260.
Find LCM of 332,436,210,282,268 with Prime Factorization
| 2 | 332, 436, 210, 282, 268 |
| 2 | 166, 218, 105, 141, 134 |
| 3 | 83, 109, 105, 141, 67 |
| 83, 109, 35, 47, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 83 x 109 x 35 x 47 x 67 = 11965381260
Therefore, the lowest common multiple of 332,436,210,282,268 is 11965381260.
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.
332 x 436 x 210 x 282 x 268 = 2297353201920
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.
332 : 1, 2, 4, 83, 166, 332
436 : 1, 2, 4, 109, 218, 436
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
282 : 1, 2, 3, 6, 47, 94, 141, 282
268 : 1, 2, 4, 67, 134, 268
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 332,436,210,282,268, is 2.
Now, the common factors can be found like this.
332:2x 2x 83
436:2x 2x 109
210:2x 3x 5x 7
282:2x 3x 47
268:2x 2x 67
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 3 = 96
Therefore, the value for common factors is 96.
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 = 2297353201920/(2x96)
LCM = 2297353201920/192
LCM = 11965381260
Thus, we can understand that the LCM of 332,436,210,282,268 is 11965381260.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 332, 436, 210, 282, 268
1. What is the LCM of 332, 436, 210, 282, 268?
Answer: LCM of 332, 436, 210, 282, 268 is 11965381260.
2. How to calculate the LCM of 332, 436, 210, 282, 268?
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 332, 436, 210, 282, 268.
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}.