LCM of 837, 738, 854, 702, 364
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 837, 738, 854, 702, 364 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 837, 738, 854, 702, 364. So, keep reading to learn more.
Given numbers are 837,738,854,702,364
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 837,738,854,702,364 is 761974668.
Find LCM of 837,738,854,702,364 with Prime Factorization
| 2 | 837, 738, 854, 702, 364 |
| 3 | 837, 369, 427, 351, 182 |
| 3 | 279, 123, 427, 117, 182 |
| 3 | 93, 41, 427, 39, 182 |
| 7 | 31, 41, 427, 13, 182 |
| 13 | 31, 41, 61, 13, 26 |
| 31, 41, 61, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 7 x 13 x 31 x 41 x 61 x 1 x 2 = 761974668
Therefore, the lowest common multiple of 837,738,854,702,364 is 761974668.
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.
837 x 738 x 854 x 702 x 364 = 134796366667872
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.
837 : 1, 3, 9, 27, 31, 93, 279, 837
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
854 : 1, 2, 7, 14, 61, 122, 427, 854
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 837,738,854,702,364, is 1.
Now, the common factors can be found like this.
837:3x 3x 3x 31
738:2x 3x 3x 41
854:2x 7x 61
702:2x 3x 3x 3x 13
364:2x 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 3x 3x 3x 3x 3x 7x 13 = 176904
Therefore, the value for common factors is 176904.
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 = 134796366667872/(1x176904)
LCM = 134796366667872/176904
LCM = 761974668
Thus, we can understand that the LCM of 837,738,854,702,364 is 761974668.
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FAQs on LCM of 837, 738, 854, 702, 364
1. What is the LCM of 837, 738, 854, 702, 364?
Answer: LCM of 837, 738, 854, 702, 364 is 761974668.
2. How to calculate the LCM of 837, 738, 854, 702, 364?
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 837, 738, 854, 702, 364.
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}.