LCM of 812, 756, 968, 442, 608
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 812, 756, 968, 442, 608 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 812, 756, 968, 442, 608. So, keep reading to learn more.
Given numbers are 812,756,968,442,608
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 812,756,968,442,608 is 89112991968.
Find LCM of 812,756,968,442,608 with Prime Factorization
| 2 | 812, 756, 968, 442, 608 |
| 2 | 406, 378, 484, 221, 304 |
| 2 | 203, 189, 242, 221, 152 |
| 7 | 203, 189, 121, 221, 76 |
| 29, 27, 121, 221, 76 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 29 x 27 x 121 x 221 x 76 = 89112991968
Therefore, the lowest common multiple of 812,756,968,442,608 is 89112991968.
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.
812 x 756 x 968 x 442 x 608 = 159690481606656
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.
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
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
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
442 : 1, 2, 13, 17, 26, 34, 221, 442
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 812,756,968,442,608, is 2.
Now, the common factors can be found like this.
812:2x 2x 7x 29
756:2x 2x 3x 3x 3x 7
968:2x 2x 2x 11x 11
442:2x 13x 17
608:2x 2x 2x 2x 2x 19
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 7 = 896
Therefore, the value for common factors is 896.
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 = 159690481606656/(2x896)
LCM = 159690481606656/1792
LCM = 89112991968
Thus, we can understand that the LCM of 812,756,968,442,608 is 89112991968.
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FAQs on LCM of 812, 756, 968, 442, 608
1. What is the LCM of 812, 756, 968, 442, 608?
Answer: LCM of 812, 756, 968, 442, 608 is 89112991968.
2. How to calculate the LCM of 812, 756, 968, 442, 608?
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 812, 756, 968, 442, 608.
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}.