LCM of 759, 106, 281, 360, 784
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 759, 106, 281, 360, 784 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 759, 106, 281, 360, 784. So, keep reading to learn more.
Given numbers are 759,106,281,360,784
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 759,106,281,360,784 is 132932535120.
Find LCM of 759,106,281,360,784 with Prime Factorization
| 2 | 759, 106, 281, 360, 784 |
| 2 | 759, 53, 281, 180, 392 |
| 2 | 759, 53, 281, 90, 196 |
| 3 | 759, 53, 281, 45, 98 |
| 253, 53, 281, 15, 98 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 253 x 53 x 281 x 15 x 98 = 132932535120
Therefore, the lowest common multiple of 759,106,281,360,784 is 132932535120.
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.
759 x 106 x 281 x 360 x 784 = 6380761685760
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.
759 : 1, 3, 11, 23, 33, 69, 253, 759
106 : 1, 2, 53, 106
281 : 1, 281
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 759,106,281,360,784, is 1.
Now, the common factors can be found like this.
759:3x 11x 23
106:2x 53
281:281
360:2x 2x 2x 3x 3x 5
784:2x 2x 2x 2x 7x 7
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 3 = 48
Therefore, the value for common factors is 48.
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 = 6380761685760/(1x48)
LCM = 6380761685760/48
LCM = 132932535120
Thus, we can understand that the LCM of 759,106,281,360,784 is 132932535120.
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FAQs on LCM of 759, 106, 281, 360, 784
1. What is the LCM of 759, 106, 281, 360, 784?
Answer: LCM of 759, 106, 281, 360, 784 is 132932535120.
2. How to calculate the LCM of 759, 106, 281, 360, 784?
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 759, 106, 281, 360, 784.
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}.