LCM of 484, 756, 295, 440, 322
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 484, 756, 295, 440, 322 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 484, 756, 295, 440, 322. So, keep reading to learn more.
Given numbers are 484,756,295,440,322
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 484,756,295,440,322 is 1241329320.
Find LCM of 484,756,295,440,322 with Prime Factorization
| 2 | 484, 756, 295, 440, 322 |
| 2 | 242, 378, 295, 220, 161 |
| 5 | 121, 189, 295, 110, 161 |
| 7 | 121, 189, 59, 22, 161 |
| 11 | 121, 27, 59, 22, 23 |
| 11, 27, 59, 2, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 11 x 11 x 27 x 59 x 2 x 23 = 1241329320
Therefore, the lowest common multiple of 484,756,295,440,322 is 1241329320.
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.
484 x 756 x 295 x 440 x 322 = 15293177222400
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.
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
295 : 1, 5, 59, 295
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
322 : 1, 2, 7, 14, 23, 46, 161, 322
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,756,295,440,322, is 1.
Now, the common factors can be found like this.
484:2x 2x 11x 11
756:2x 2x 3x 3x 3x 7
295:5x 59
440:2x 2x 2x 5x 11
322:2x 7x 23
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 5x 7x 11 = 12320
Therefore, the value for common factors is 12320.
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 = 15293177222400/(1x12320)
LCM = 15293177222400/12320
LCM = 1241329320
Thus, we can understand that the LCM of 484,756,295,440,322 is 1241329320.
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FAQs on LCM of 484, 756, 295, 440, 322
1. What is the LCM of 484, 756, 295, 440, 322?
Answer: LCM of 484, 756, 295, 440, 322 is 1241329320.
2. How to calculate the LCM of 484, 756, 295, 440, 322?
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 484, 756, 295, 440, 322.
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}.