LCM of 332, 362, 452, 936, 410
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 332, 362, 452, 936, 410 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, 362, 452, 936, 410. So, keep reading to learn more.
Given numbers are 332,362,452,936,410
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 332,362,452,936,410 is 325735296120.
Find LCM of 332,362,452,936,410 with Prime Factorization
| 2 | 332, 362, 452, 936, 410 |
| 2 | 166, 181, 226, 468, 205 |
| 83, 181, 113, 234, 205 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 83 x 181 x 113 x 234 x 205 = 325735296120
Therefore, the lowest common multiple of 332,362,452,936,410 is 325735296120.
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 362 x 452 x 936 x 410 = 20847058951680
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
362 : 1, 2, 181, 362
452 : 1, 2, 4, 113, 226, 452
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
410 : 1, 2, 5, 10, 41, 82, 205, 410
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 332,362,452,936,410, is 2.
Now, the common factors can be found like this.
332:2x 2x 83
362:2x 181
452:2x 2x 113
936:2x 2x 2x 3x 3x 13
410:2x 5x 41
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 2 = 32
Therefore, the value for common factors is 32.
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 = 20847058951680/(2x32)
LCM = 20847058951680/64
LCM = 325735296120
Thus, we can understand that the LCM of 332,362,452,936,410 is 325735296120.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 332, 362, 452, 936, 410
1. What is the LCM of 332, 362, 452, 936, 410?
Answer: LCM of 332, 362, 452, 936, 410 is 325735296120.
2. How to calculate the LCM of 332, 362, 452, 936, 410?
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, 362, 452, 936, 410.
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}.