LCM of 264, 868, 833, 757, 405
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 264, 868, 833, 757, 405 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 264, 868, 833, 757, 405. So, keep reading to learn more.
Given numbers are 264,868,833,757,405
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 264,868,833,757,405 is 696691112040.
Find LCM of 264,868,833,757,405 with Prime Factorization
| 2 | 264, 868, 833, 757, 405 |
| 2 | 132, 434, 833, 757, 405 |
| 3 | 66, 217, 833, 757, 405 |
| 7 | 22, 217, 833, 757, 135 |
| 22, 31, 119, 757, 135 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 22 x 31 x 119 x 757 x 135 = 696691112040
Therefore, the lowest common multiple of 264,868,833,757,405 is 696691112040.
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.
264 x 868 x 833 x 757 x 405 = 58522053411360
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.
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
833 : 1, 7, 17, 49, 119, 833
757 : 1, 757
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,868,833,757,405, is 1.
Now, the common factors can be found like this.
264:2x 2x 2x 3x 11
868:2x 2x 7x 31
833:7x 7x 17
757:757
405:3x 3x 3x 3x 5
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 3x 7 = 84
Therefore, the value for common factors is 84.
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 = 58522053411360/(1x84)
LCM = 58522053411360/84
LCM = 696691112040
Thus, we can understand that the LCM of 264,868,833,757,405 is 696691112040.
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FAQs on LCM of 264, 868, 833, 757, 405
1. What is the LCM of 264, 868, 833, 757, 405?
Answer: LCM of 264, 868, 833, 757, 405 is 696691112040.
2. How to calculate the LCM of 264, 868, 833, 757, 405?
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 264, 868, 833, 757, 405.
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}.