LCM of 756, 278, 807, 816, 522
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 756, 278, 807, 816, 522 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 756, 278, 807, 816, 522. So, keep reading to learn more.
Given numbers are 756,278,807,816,522
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 756,278,807,816,522 is 55743699312.
Find LCM of 756,278,807,816,522 with Prime Factorization
| 2 | 756, 278, 807, 816, 522 |
| 2 | 378, 139, 807, 408, 261 |
| 3 | 189, 139, 807, 204, 261 |
| 3 | 63, 139, 269, 68, 87 |
| 21, 139, 269, 68, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 21 x 139 x 269 x 68 x 29 = 55743699312
Therefore, the lowest common multiple of 756,278,807,816,522 is 55743699312.
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.
756 x 278 x 807 x 816 x 522 = 72243834308352
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.
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
278 : 1, 2, 139, 278
807 : 1, 3, 269, 807
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,278,807,816,522, is 1.
Now, the common factors can be found like this.
756:2x 2x 3x 3x 3x 7
278:2x 139
807:3x 269
816:2x 2x 2x 2x 3x 17
522:2x 3x 3x 29
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 3x 3x 3x 3 = 1296
Therefore, the value for common factors is 1296.
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 = 72243834308352/(1x1296)
LCM = 72243834308352/1296
LCM = 55743699312
Thus, we can understand that the LCM of 756,278,807,816,522 is 55743699312.
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FAQs on LCM of 756, 278, 807, 816, 522
1. What is the LCM of 756, 278, 807, 816, 522?
Answer: LCM of 756, 278, 807, 816, 522 is 55743699312.
2. How to calculate the LCM of 756, 278, 807, 816, 522?
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 756, 278, 807, 816, 522.
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}.