LCM of 468, 520, 894, 364, 728
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 468, 520, 894, 364, 728 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 468, 520, 894, 364, 728. So, keep reading to learn more.
Given numbers are 468,520,894,364,728
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 468,520,894,364,728 is 4881240.
Find LCM of 468,520,894,364,728 with Prime Factorization
| 2 | 468, 520, 894, 364, 728 |
| 2 | 234, 260, 447, 182, 364 |
| 2 | 117, 130, 447, 91, 182 |
| 3 | 117, 65, 447, 91, 91 |
| 7 | 39, 65, 149, 91, 91 |
| 13 | 39, 65, 149, 13, 13 |
| 3, 5, 149, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 13 x 3 x 5 x 149 x 1 x 1 = 4881240
Therefore, the lowest common multiple of 468,520,894,364,728 is 4881240.
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.
468 x 520 x 894 x 364 x 728 = 57652677089280
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.
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
894 : 1, 2, 3, 6, 149, 298, 447, 894
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,520,894,364,728, is 2.
Now, the common factors can be found like this.
468:2x 2x 3x 3x 13
520:2x 2x 2x 5x 13
894:2x 3x 149
364:2x 2x 7x 13
728:2x 2x 2x 7x 13
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 2x 2x 3x 7x 13x 13x 13 = 5905536
Therefore, the value for common factors is 5905536.
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 = 57652677089280/(2x5905536)
LCM = 57652677089280/11811072
LCM = 4881240
Thus, we can understand that the LCM of 468,520,894,364,728 is 4881240.
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FAQs on LCM of 468, 520, 894, 364, 728
1. What is the LCM of 468, 520, 894, 364, 728?
Answer: LCM of 468, 520, 894, 364, 728 is 4881240.
2. How to calculate the LCM of 468, 520, 894, 364, 728?
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 468, 520, 894, 364, 728.
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}.