LCM of 694, 756, 684, 856, 984
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 694, 756, 684, 856, 984 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 694, 756, 684, 856, 984. So, keep reading to learn more.
Given numbers are 694,756,684,856,984
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 694,756,684,856,984 is 43732318392.
Find LCM of 694,756,684,856,984 with Prime Factorization
| 2 | 694, 756, 684, 856, 984 |
| 2 | 347, 378, 342, 428, 492 |
| 2 | 347, 189, 171, 214, 246 |
| 3 | 347, 189, 171, 107, 123 |
| 3 | 347, 63, 57, 107, 41 |
| 347, 21, 19, 107, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 347 x 21 x 19 x 107 x 41 = 43732318392
Therefore, the lowest common multiple of 694,756,684,856,984 is 43732318392.
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.
694 x 756 x 684 x 856 x 984 = 302277784725504
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.
694 : 1, 2, 347, 694
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
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
856 : 1, 2, 4, 8, 107, 214, 428, 856
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 694,756,684,856,984, is 2.
Now, the common factors can be found like this.
694:2x 347
756:2x 2x 3x 3x 3x 7
684:2x 2x 3x 3x 19
856:2x 2x 2x 107
984:2x 2x 2x 3x 41
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 3x 3 = 3456
Therefore, the value for common factors is 3456.
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 = 302277784725504/(2x3456)
LCM = 302277784725504/6912
LCM = 43732318392
Thus, we can understand that the LCM of 694,756,684,856,984 is 43732318392.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 694, 756, 684, 856, 984
1. What is the LCM of 694, 756, 684, 856, 984?
Answer: LCM of 694, 756, 684, 856, 984 is 43732318392.
2. How to calculate the LCM of 694, 756, 684, 856, 984?
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 694, 756, 684, 856, 984.
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}.